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	<id>https://wiki.cs.hse.ru/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=GBuzilov</id>
	<title>Wiki - Факультет компьютерных наук - Вклад [ru]</title>
	<link rel="self" type="application/atom+xml" href="https://wiki.cs.hse.ru/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=GBuzilov"/>
	<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%92%D0%BA%D0%BB%D0%B0%D0%B4/GBuzilov"/>
	<updated>2026-09-21T10:42:08Z</updated>
	<subtitle>Вклад</subtitle>
	<generator>MediaWiki 1.43.9</generator>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Quantitative_finance_DSBA&amp;diff=74195</id>
		<title>Quantitative finance DSBA</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Quantitative_finance_DSBA&amp;diff=74195"/>
		<updated>2022-11-18T10:52:17Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Teachers &amp;amp; assistants ==&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Group !! 1 !! 2&lt;br /&gt;
|-&lt;br /&gt;
|| Lecturer &lt;br /&gt;
| colspan=&amp;quot;2&amp;quot; |  Zhitlukhin M.V. &lt;br /&gt;
tg: [https://tlgg.ru/mzhitlukhin @mzhitlukhin]&lt;br /&gt;
|- &lt;br /&gt;
|| Workshop Instructor &lt;br /&gt;
|| Antipov V. &amp;lt;br&amp;gt; tg: [https://t.me/v_antipov @v_antipov] &amp;lt;br&amp;gt;&lt;br /&gt;
|| Novozhilov F. &amp;lt;br&amp;gt; tg: [https://t.me/fnovozhilov @fnovozhilov] &amp;lt;br&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;2&amp;quot; | Assistant &lt;br /&gt;
| colspan=&amp;quot;2&amp;quot; | Buzilov G. &amp;lt;br&amp;gt; tg: [https://t.me/GBuzilov @GBuzilov]&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Reference to the folder with course materials ==&lt;br /&gt;
&lt;br /&gt;
The link with the relevant materials may be observed here: [https://1drv.ms/u/s!Ap0hrtgHCg5OgZwZkBZ2cbeP5MR6Dw?e=BLwh0m source].&lt;br /&gt;
&lt;br /&gt;
== Telegram chat link ==&lt;br /&gt;
&lt;br /&gt;
Join the course group via: [https://t.me/+13N3mw0fwIIyMTQy link].&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Quantitative_finance_DSBA&amp;diff=74143</id>
		<title>Quantitative finance DSBA</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Quantitative_finance_DSBA&amp;diff=74143"/>
		<updated>2022-11-16T20:19:35Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Reference to the folder with course materials ==&lt;br /&gt;
&lt;br /&gt;
The link with the relevant materials may be observed here: [https://1drv.ms/u/s!Ap0hrtgHCg5OgZwZkBZ2cbeP5MR6Dw?e=BLwh0m source].&lt;br /&gt;
&lt;br /&gt;
== Telegram chat link ==&lt;br /&gt;
&lt;br /&gt;
Join the course group via: [https://t.me/+13N3mw0fwIIyMTQy link].&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Quantitative_finance_DSBA&amp;diff=74142</id>
		<title>Quantitative finance DSBA</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Quantitative_finance_DSBA&amp;diff=74142"/>
		<updated>2022-11-16T20:19:09Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Link to the folder with course materials ==&lt;br /&gt;
&lt;br /&gt;
The link with the relevant materials may be observed here: [https://1drv.ms/u/s!Ap0hrtgHCg5OgZwZkBZ2cbeP5MR6Dw?e=BLwh0m source].&lt;br /&gt;
&lt;br /&gt;
== Telegram chat link ==&lt;br /&gt;
&lt;br /&gt;
Join the course group via: [https://t.me/+13N3mw0fwIIyMTQy link].&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Quantitative_finance_DSBA&amp;diff=74141</id>
		<title>Quantitative finance DSBA</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Quantitative_finance_DSBA&amp;diff=74141"/>
		<updated>2022-11-16T20:18:48Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: Новая страница: «== Link to the folder with course materials ==  The link with the relevant materials may be observed here: [https://1drv.ms/u/s!Ap0hrtgHCg5OgZwZkBZ2cbeP5MR6Dw?e=B…»&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Link to the folder with course materials ==&lt;br /&gt;
&lt;br /&gt;
The link with the relevant materials may be observed here: [https://1drv.ms/u/s!Ap0hrtgHCg5OgZwZkBZ2cbeP5MR6Dw?e=BLwh0m source].&lt;br /&gt;
&lt;br /&gt;
== Telegram chat link ==&lt;br /&gt;
&lt;br /&gt;
Join the course group via: [https://t.me/+13N3mw0fwIIyMTQy chat link].&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Wiki_%D0%A4%D0%9A%D0%9D&amp;diff=74140</id>
		<title>Wiki ФКН</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Wiki_%D0%A4%D0%9A%D0%9D&amp;diff=74140"/>
		<updated>2022-11-16T20:15:22Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__ &lt;br /&gt;
&lt;br /&gt;
= Учебные курсы факультета компьютерных наук =&lt;br /&gt;
&lt;br /&gt;
== Курсы за 2022/23 учебный год ==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
&lt;br /&gt;
! 1 курс !! 2 курс !! 3 курс !! 4 курс  !! майноры и факультативы&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
&#039;&#039;&#039;ПМИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Линейная_алгебра_и_геометрия_на_ПМИ_2022/2023_(пилотный_поток) | Линейная алгебра и геометрия (пилотный поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Линейная_алгебра_и_геометрия_на_ПМИ_2022/2023_(основной_поток) | Линейная алгебра и геометрия (основной поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Математический_анализ_1_2022/2023_(основной_поток) | Математический анализ-1 (основной поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Математический_анализ_1_2022/2023_(пилотный_поток) | Математический анализ-1 (пилотный поток)]]&lt;br /&gt;
&lt;br /&gt;
[[DM1base-2022-23 | Дискретная математика (ПМИ основной поток + ЭАД)]]&lt;br /&gt;
&lt;br /&gt;
[[Дискретная_математика_(пилотный_поток) | Дискретная математика (пилотный поток)]]&lt;br /&gt;
&lt;br /&gt;
[http://wiki.cs.hse.ru/Язык_программирования_Python_2022/2023_(основной_поток) Язык программирования Python 2022/2023 (основной_поток)]&lt;br /&gt;
&lt;br /&gt;
[[Алгоритмы_и_структуры_данных_1_(основной_поток) | Алгоритмы и структуры данных 1 (основной поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Алгоритмы_и_структуры_данных_пилотный_поток_2022/2023 | Алгоритмы и структуры данных (пилотный поток)]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Дискретная математика 2022-2023 | Дискретная математика ]]&lt;br /&gt;
&lt;br /&gt;
[[Алгебра ПИ 2022-2023 | Алгебра]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПАД&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Calculus DSBA 2022/2023 | Calculus (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
[[English_DSBA_2022/2023 | English DSBA (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
[[LAaG DSBA 2022/2023 | LAaG (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
[[Discrete Mathematics DSBA 2022/2023 | Discrete Mathematics ]]&lt;br /&gt;
&lt;br /&gt;
[[Introduction to Programming DSBA 2022/2023 | Introduction to Programming (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
[[Foundations_of_Law_DSBA_2022/2023 | Foundations of Law (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;КНАД&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Дискретная_математика_КНАД 22/23| Дискретная математика (КНАД) ]]&lt;br /&gt;
&lt;br /&gt;
[[Математический_анализ_КНАД 22/23| Математический анализ (КНАД) ]]&lt;br /&gt;
&lt;br /&gt;
[[Линейная_алгебра_КНАД 22/23| Линейная алгебра (КНАД) ]]&lt;br /&gt;
&lt;br /&gt;
[[Программирование_на_Python_КНАД 22/23| Программирование на Python (КНАД) ]]&lt;br /&gt;
&lt;br /&gt;
[[Алгоритмы и структуры данных - 1 2022/2023 2 модуль (ЭАД КНАД ВСН) | Алгоритмы и структуры данных 2022/2023 2 модуль (ЭАД КНАД ВСН)]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПМИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Теория_вероятностей_2022/2023_(пилотный_поток)| Теория вероятностей (пилотный поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Теория_вероятностей_2022/2023_(основной_поток)| Теория вероятностей (основной поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Математический_Анализ_2_на_ПМИ_2022/2023_(пилотный_поток) | Математический анализ - 2 (пилотный поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Математический_анализ_-_2_(2022/23) | Математический анализ - 2 (основной поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Язык_программирования_C%2B%2B_(углубленный_курс)_2022 | Язык программирования C++ (углубленный курс)]]&lt;br /&gt;
&lt;br /&gt;
[[Математическая_логика_ПМИ_22/23 | Математическая логика ]]&lt;br /&gt;
&lt;br /&gt;
[[Продвинутый_Python_2022/2023 | Продвинутый Python ]]&lt;br /&gt;
&lt;br /&gt;
[[Алгоритмы_и_структуры_данных_2_2022/2023 | Алгоритмы и структуры данных - 2 ]]&lt;br /&gt;
&lt;br /&gt;
[[Язык_программирования_Rust | Язык программирования Rust ]]&lt;br /&gt;
&lt;br /&gt;
[[Инструменты_промышленной_разработки_2022/2023 | Инструменты промышленной разработки 2022/2023 ]]&lt;br /&gt;
&lt;br /&gt;
[[CAOS-2022 | Архитектура компьютеров и операционные системы]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Алгоритмы_и_структуры_данных_на_ПИ_2022/2023 | Алгоритмы и структуры данных на ПИ]]&lt;br /&gt;
&lt;br /&gt;
[[Теория вероятностей и математическая статистика 2022-2023 | Теория вероятностей и математическая статистика]]&lt;br /&gt;
&lt;br /&gt;
[[НИС_Методы_и_алгоритмы_защиты_информации_2022/2023 | НИС Методы и алгоритмы защиты информации ]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПАД&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Discrete Mathematics 2 DSBA 2022/2023 | Discrete Mathematics 2 (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
[[Business_and_Management_in_Global_Context_22/23 | Business and Management in Global Context 22/23]]&lt;br /&gt;
&lt;br /&gt;
[[Calculus-2]]&lt;br /&gt;
&lt;br /&gt;
[[Algorithms and Data Structures DSBA 2022/2023 | Algorithms and Data Structures]]&lt;br /&gt;
&lt;br /&gt;
[[Probability and Statistics (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
[[Introduction to Micro and Macroeconomics DSBA 2022/2023]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;КНАД&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Алгебра КНАД 2022/2023 | Алгебра]]&lt;br /&gt;
&lt;br /&gt;
[[Математический_анализ -- 2 (2022/23) | Математический анализ -- 2]]&lt;br /&gt;
&lt;br /&gt;
[[Алгоритмы_и_структуры_данных_2_КНАД 22/23 | Алгоритмы и структуры данных 2]]&lt;br /&gt;
&lt;br /&gt;
[[Теория_вероятностей_КНАД 22/23 | Теория вероятностей ]]&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПМИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Машинное_обучение_1 | Машинное обучение 1]]&lt;br /&gt;
&lt;br /&gt;
[[Компьютерные_сети_2022/2023 | Компьютерные сети 2022/2023]]&lt;br /&gt;
&lt;br /&gt;
[[ Operation Research and Game Theory | Operation Research and Game Theory]]&lt;br /&gt;
&lt;br /&gt;
[[ Statistical learning theory 2022 | Statistical Learning Theory]]&lt;br /&gt;
&lt;br /&gt;
[[ Функциональное_программирование_22-23 | Функциональное программирование ]]&lt;br /&gt;
&lt;br /&gt;
[[ Основы_тензорных_вычислений_(2022/2023) | Основы тензорных вычислений ]]&lt;br /&gt;
&lt;br /&gt;
[[Глубинное обучение 1 22/23 | Введение в глубинное обучение 22/23]]&lt;br /&gt;
&lt;br /&gt;
[[Математическое_моделирование_2022  | Математическое моделирование 2022]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПМИ / МОП&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Прикладная_статистика_в_машинном_обучении_22/23 | Прикладная статистика в машинном обучении 22/23]]&lt;br /&gt;
&lt;br /&gt;
[[НИС_Машинное_обучение_и_приложения_3_курс_2022/2023 | НИС Машинное обучение и приложения 3 курс]]&lt;br /&gt;
&lt;br /&gt;
[[Глубинное обучение 1 22/23 | Глубинное обучение 1 22/23]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПМИ / РС&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://osukhoroslov-hse.notion.site/a35a6a40088b44a7a9e374727a0f2548 Распределенные системы]&lt;br /&gt;
&lt;br /&gt;
[https://osukhoroslov-hse.notion.site/dbce4f5101ed47dca0b363122f139aac НИС Распределенные системы]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПМИ / ТИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Theory of Computation 2022 | Theory of Computation]]&lt;br /&gt;
&lt;br /&gt;
[[ NIS-TCS-22-23 | НИС Теоретическая информатика ]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[ SPA_2022 |Принципы статического анализа исходного кода ]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПАД&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[tssp-2022-23 | Time series and stochastic processes 2022-23]]&lt;br /&gt;
&lt;br /&gt;
[https://github.com/xenakas/dsba_ecm_2022 Elements of Econometrics]&lt;br /&gt;
&lt;br /&gt;
[[BAFE-2022-23 | Business Analytics and Financial Engineering 2022-2023]]&lt;br /&gt;
&lt;br /&gt;
[[Machine learning 1 DSBA 2022/2023]]&lt;br /&gt;
&lt;br /&gt;
[[Databases]]&lt;br /&gt;
&lt;br /&gt;
[[Optimisation methods]]&lt;br /&gt;
&lt;br /&gt;
[[ MACE1_DSBA_22-23 | Research Seminar &amp;quot;Mathematical and Computational Engineering in Science and Business 1&amp;quot;]]&lt;br /&gt;
&lt;br /&gt;
[[ DAF1_DSBA_22-23 | Research Seminar &amp;quot;Data Analysis in Finance 1&amp;quot;]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПМИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://www.notion.so/2022-2023-12475421ada6400c8bd5bf24a2a30c01  ВКР]&lt;br /&gt;
&lt;br /&gt;
[[ Функциональное_программирование_22-23 | Функциональное программирование ]]&lt;br /&gt;
&lt;br /&gt;
[[ Основы_тензорных_вычислений_(2022/2023) | Основы тензорных вычислений ]]&lt;br /&gt;
&lt;br /&gt;
[[ Глубинное_обучение_в_обработке_звука_22/23 | Глубинное обучение в обработке звука ]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПМИ / МОП&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[НИС_Машинное_обучение_и_приложения_4_курс_2022/2023 | НИС Машинное обучение и приложения 4 курс]]  &lt;br /&gt;
&lt;br /&gt;
[[Глубинное_обучение_2022 | Глубинное обучение]]&lt;br /&gt;
&lt;br /&gt;
[[Глубинное_обучение_в_анализе_графовых_данных_22/23 | Глубинное обучение в анализе графовых данных]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПМИ / ТИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[OWF2022 | Односторонние функции и их применения]]&lt;br /&gt;
&lt;br /&gt;
[[InfTheory2022 | Теория информации]]&lt;br /&gt;
&lt;br /&gt;
[[ NIS-TCS-22-23 | НИС Теоретическая информатика ]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПАД&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[ Statistics4MR-2022-23 | Statistics for Market Research 2022-23]]&lt;br /&gt;
&lt;br /&gt;
[[ Strategy_22-23_DSBA  | Decision Making Strategy 2022-2023]]&lt;br /&gt;
&lt;br /&gt;
[[ APFM_22-23 | Asset Pricing and Financial Markets 2022-2023]]&lt;br /&gt;
&lt;br /&gt;
[[ CMC_DSBA_22-23 | Core management concepts ]]&lt;br /&gt;
&lt;br /&gt;
[[Machine learning 2 DSBA 2022/2023]]&lt;br /&gt;
&lt;br /&gt;
[[ MACE2_DSBA_22-23 | Research Seminar &amp;quot;Mathematical and Computational Engineering in Science and Business 2&amp;quot;]]&lt;br /&gt;
&lt;br /&gt;
[[ DAF2_DSBA_22-23 | Research Seminar &amp;quot;Data Analysis in Finance 2&amp;quot;]]&lt;br /&gt;
&lt;br /&gt;
[[ DANS_DSBA_22-23 | Research Seminar &amp;quot;Data Analysis in the Natural Sciences&amp;quot; ]]&lt;br /&gt;
&lt;br /&gt;
[[Risk-Management_DSBA_22-23 | Research Seminar &amp;quot;Risk-Management&amp;quot; ]]&lt;br /&gt;
&lt;br /&gt;
[[Quantitative finance DSBA]]&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
[[Случайные_графы_2022 | Случайные графы]]&lt;br /&gt;
&lt;br /&gt;
[[Майнор_Биоинформатика_1_год_2022/23 | Биоинформатика 1 год 2022/23]]&lt;br /&gt;
&lt;br /&gt;
[[Майнор Биоинформатика 2 год 2022/23 | Биоинформатика 2 год]]&lt;br /&gt;
&lt;br /&gt;
[[Основы_глубинного_обучения | Основы глубинного обучения (майнор ИАД)]]&lt;br /&gt;
&lt;br /&gt;
[[Введение_в_программирование_22/23_(майнор_ИАД) | Введение в программирование 22/23 (майнор ИАД)]]&lt;br /&gt;
&lt;br /&gt;
[[Базы данных 22/23 (майнор ИАД)| Базы данных 22/23 (майнор ИАД)]]&lt;br /&gt;
&lt;br /&gt;
[[Adaptation course in Discrete Math (факультатив)]]&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Курсы в рамках проекта [https://www.hse.ru/dataculture/ Data Culture]==&lt;br /&gt;
&lt;br /&gt;
=== 1 семестр ===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-  &lt;br /&gt;
! Дисциплина !! Образовательная программа !! Курс !! Модули &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| [[Цифровая грамотность для международных отношений 22/23 | Цифровая грамотность для международных отношений 22/23]]&amp;lt;br /&amp;gt; || Международных отношения || 1 курс || 1-2 модуль&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%9E%D1%81%D0%BD%D0%BE%D0%B2%D1%8B_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%D0%B0_%D0%B4%D0%B0%D0%BD%D0%BD%D1%8B%D1%85_%D0%B2_%D0%BC%D0%B5%D0%B6%D0%B4%D1%83%D0%BD%D0%B0%D1%80%D0%BE%D0%B4%D0%BD%D1%8B%D1%85_%D0%BE%D1%82%D0%BD%D0%BE%D1%88%D0%B5%D0%BD%D0%B8%D1%8F%D1%85_22/23#.D0.9D.D0.B5.D0.BE.D0.B1.D1.85.D0.BE.D0.B4.D0.B8.D0.BC.D1.8B.D0.B5_.D1.81.D1.81.D1.8B.D0.BB.D0.BA.D0.B8 Основы анализа данных для международных отношений 22/23] || Международных отношения || 2 курс || 1-2 модуль&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%9E%D1%81%D0%BD%D0%BE%D0%B2%D1%8B_%D0%BF%D1%80%D0%BE%D0%B3%D1%80%D0%B0%D0%BC%D0%BC%D0%B8%D1%80%D0%BE%D0%B2%D0%B0%D0%BD%D0%B8%D1%8F_%D0%BD%D0%B0_Python_%D0%BE%D1%81%D0%B5%D0%BD%D1%8C_2022_%D0%BC%D0%B0%D1%82%D1%84%D0%B0%D0%BA#.D0.9F.D1.80.D0.B0.D0.B2.D0.B8.D0.BB.D0.B0_.D0.B4.D0.B5.D0.B4.D0.BB.D0.B0.D0.B9.D0.BD.D0.BE.D0.B2 Основы программирования на Python осень 2022 матфак] || Математика&amp;lt;br \&amp;gt;Совместная бакалавриат НИУ ВШЭ и ЦПМ&amp;lt;br \&amp;gt;Совместная магистратура НИУ ВШЭ и ЦПМ&amp;lt;br \&amp;gt;Математика и математическая физика|| 2-4 курс бакалавриата &amp;lt;br /&amp;gt; 1-2 курс магистратуры || 1-2 модуль &lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| [[Анализ данных 2022 (ОП &amp;quot;Журналистика&amp;quot; и &amp;quot;Медиакоммуникации&amp;quot;) | Анализ данных]] || Журналистика&amp;lt;br /&amp;gt;Медиакоммуникации || 2 курс || 1-2 модуль&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%9C%D0%B0%D1%88%D0%B8%D0%BD%D0%BD%D0%BE%D0%B5_%D0%BE%D0%B1%D1%83%D1%87%D0%B5%D0%BD%D0%B8%D0%B5_(%D0%A4%D0%AD%D0%9D)_-_2022-2023 Машинное обучение] || Экономика || 3,4 курс || 1-2 модули&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Курсы магистратуры ФКН ==&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; &lt;br /&gt;
|-&lt;br /&gt;
| [[Ликбез_разработчика_(2022) | Ликбез разработчика]] || Машинное обучение и высоконагруженные системы|| 1 year&lt;br /&gt;
|-&lt;br /&gt;
| [[RecSys_2022_2023 | Рекомендательные системы]] || ФТИАД || 2 year&lt;br /&gt;
|-&lt;br /&gt;
| [[Linear_Algebra_for_Data_Science_(2022) | Linear Algebra for Data Science]] || Data Science || 1 year&lt;br /&gt;
|-&lt;br /&gt;
| [[Ordered_Sets_in_Data_Analysis_(2022) | Ordered Sets in Data Analysis]] || Data Science || 1 year&lt;br /&gt;
|-&lt;br /&gt;
| [[ NIS-TCS-22-23 | НИС Теоретическая информатика ]] || Науки о данных, специализация ТИ || &lt;br /&gt;
|-&lt;br /&gt;
| [[Mathematical Foundations of Probability theory | Mathematical foundations of probability theory]] || Math of Machine Learning || 1 year &lt;br /&gt;
|-&lt;br /&gt;
| [[Reinforcement_learning_2022_2023 | Математические основы обучения с подкреплением ]] || Math of Machine Learning || 2 year&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Курсы других факультетов ==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; &lt;br /&gt;
|-&lt;br /&gt;
! Дисциплина !! Курс !! Период&lt;br /&gt;
|-&lt;br /&gt;
| [[econ_probability_2022-23|Теория вероятностей и математическая статистика]] || фэн, 2 курс || 1-4 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [[econ_metrics_2022-23|Эконометрика ип 2022-23]] || фэн, 3 курс || 1-4 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [[econ_dynamic_opt_2022-23|Динамическая оптимизация в экономике и финансах]] || фэн, 3-4 курс || 1-2 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [[icef-dse-2022-23|Data Science for Economics 2022-23]] ||icef, 3-4 year || 1-2 module&lt;br /&gt;
|-&lt;br /&gt;
| [[Лицей ВШЭ. Практикум по программированию 10 класс 2022-23 | Лицей ВШЭ. Практикум по программированию 10 класс]] || Лицей ВШЭ || 10 класс&lt;br /&gt;
|-&lt;br /&gt;
| [[icef-scalc-2022-fall|Stochastic Calculus Fall 2022]] ||icef, master 1 year || 2 module&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
= Архив =&lt;br /&gt;
&lt;br /&gt;
== Курсы за 2021/22 учебный год ==&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
&lt;br /&gt;
! 1 курс !! 2 курс !! 3 курс !! 4 курс  !! майноры и факультативы&lt;br /&gt;
|-&lt;br /&gt;
|&lt;br /&gt;
&#039;&#039;&#039;ПМИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Линейная_алгебра_и_геометрия_на_ПМИ_2021/2022_(пилотный_поток) | Линейная алгебра и геометрия (пилотный поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Линейная_алгебра_и_геометрия_на_ПМИ_2021/2022_(основной_поток) | Линейная алгебра и геометрия (основной поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Алгебра_на_ПМИ_2021/2022_(пилотный_поток) | Алгебра (пилотный поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Алгебра_на_ПМИ_2021/2022_(основной_поток) | Алгебра (основной поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Математический_Анализ_1_на_ПМИ_2021/2022_(пилотный_поток) | Математический анализ 1 (пилотный поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Математический_анализ_1_2021/2022_(основной_поток) | Математический анализ-1 (основной поток)]]&lt;br /&gt;
&lt;br /&gt;
[[DM1-2021-22 | Дискретная математика]]&lt;br /&gt;
&lt;br /&gt;
[http://wiki.cs.hse.ru/Основы_и_методология_программирования_на_ПМИ_2021/2022_(основной_поток) Основы и методология программирования 2021/2022 (основной поток)]&lt;br /&gt;
&lt;br /&gt;
[[Алгоритмы и структуры данных пилотный поток 2021/2022 | Алгоритмы и структуры данных пилотный поток 2021/2022]]&lt;br /&gt;
&lt;br /&gt;
[[Алгоритмы и структуры данных 1 основной поток 2021/2022 (4 модуль) | Алгоритмы и структуры данных 1 основной поток 2021/2022 (4 модуль)]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[DM1-SE-2021-22 | Дискретная математика-1 ПИ]]&lt;br /&gt;
&lt;br /&gt;
[http://hsealgebra22.wikidot.com/ Алгебра 2021/2022 ПИ wikidot]&lt;br /&gt;
&lt;br /&gt;
[[Алгебра 2021/2022 ПИ | Алгебра 2021/2022 ПИ]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПАД&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Algebra_DSBA_2021/2022 | Algebra DSBA]]&lt;br /&gt;
&lt;br /&gt;
[[Discrete Mathematics DSBA 2021/2022 | Discrete Mathematics (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
[[LAaG DSBA 2021/2022 | LAaG (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
[[Calculus DSBA 2021/2022 | Calculus (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
[[Introduction to Programming DSBA 2021/2022 | Introduction to Programming (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;КНАД&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Математический_анализ_(КНАД) | Математический анализ (КНАД)]]&lt;br /&gt;
&lt;br /&gt;
[[Линейная алгебра_(КНАД) | Линейная алгебра (КНАД)]]&lt;br /&gt;
&lt;br /&gt;
[[Программирование_на_Python | Программирование на Python  (КНАД)]]&lt;br /&gt;
&lt;br /&gt;
[[Дискретная_математика_КНАД | Дискретная математика (КНАД)]]&lt;br /&gt;
&lt;br /&gt;
[[Алгоритмы и структуры данных-1 2021/2022 4 модуль (КНАД) | Алгоритмы и структуры данных (КНАД)]]&lt;br /&gt;
&lt;br /&gt;
[[Программирование_на_С++_КНАД | Программирование на С++ (КНАД)]]&lt;br /&gt;
&lt;br /&gt;
[[Python_для_сбора_и_анализа_данных_КНАД | Python для сбора и анализа данных (КНАД)]]&lt;br /&gt;
&lt;br /&gt;
[[ИПР_КНАД_22 | Инструменты промышленной разработки (КНАД)]]&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПМИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Теория_вероятностей_и_математическая_статистика_2021/2022_(пилотный_поток)| ТВиМС (пилотный поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Теория_вероятностей_2021/2022_(основной_поток)| ТВиМС (основной поток)]]&lt;br /&gt;
&lt;br /&gt;
[[Математический анализ 2021/2022 (пилотный поток) | Математический анализ - 2 (пилотный поток)]]&lt;br /&gt;
&lt;br /&gt;
[http://wiki.cs.hse.ru/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B8%D0%B9_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7_-_2.1_(2021/22) Математический анализ - 2.1 (основной поток)]&lt;br /&gt;
&lt;br /&gt;
[[Математический_анализ_-_2.2_(2021/22) | Математический анализ - 2.2 (основной поток)]]&lt;br /&gt;
&lt;br /&gt;
[[MissingSemester2021/2022 | Инструменты промышленной разработки (The Missing Semester of your CS education)]]&lt;br /&gt;
&lt;br /&gt;
[[Язык программирования C++ (углубленный курс) | Язык программирования C++ (углубленный курс)]]&lt;br /&gt;
&lt;br /&gt;
[[Математическая логика | Математическая логика]]&lt;br /&gt;
&lt;br /&gt;
[[Дифференциальные уравнения (ПМИ)]]&lt;br /&gt;
&lt;br /&gt;
[[Алгоритмы и структуры данных 2 2021 | Алгоритмы и структуры данных 2]]&lt;br /&gt;
&lt;br /&gt;
[[Алгоритмы_и_структуры_данных_пилотный_поток_2020/2021 | Алгоритмы и структуры данных – 2 на ПМИ (пилотный поток)]]&lt;br /&gt;
&lt;br /&gt;
[[CAOS-2021 | Архитектура компьютеров и операционные системы]]&lt;br /&gt;
&lt;br /&gt;
[[Основы_матричных_вычислений_2021/2022| Основы матричных вычислений 2021/2022]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Алгоритмы и структуры данных на ПИ 2021/2022 | Алгоритмы и структуры данных на ПИ]]&lt;br /&gt;
&lt;br /&gt;
[[НИС Методы и алгоритмы защиты информации | НИС Методы и алгоритмы защиты информации]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПАД&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Discrete Mathematics 2 DSBA 2021/2022 | Discrete Mathematics 2 (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
[[Business_and_Management_in_Global_Context_2021/22 | Business and Management in Global Context (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
[[Statistics_DSBA_2021/2022 | Probability and Statistics (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
[[Differential_Equations_2021 | Differential Equations ]]&lt;br /&gt;
&lt;br /&gt;
[[ACOS_DSBA_2021/2022 | Computer Architecture and Operating Systems (DSBA)]]&lt;br /&gt;
&lt;br /&gt;
||&lt;br /&gt;
&lt;br /&gt;
[https://www.notion.so/2021-2022-7374a6eeced2434288226a339bd5037f Курсовая работа]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПМИ&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[[Intro_to_DL_21/22 | Introduction to Deep Learning 21/22 ]]&lt;br /&gt;
&lt;br /&gt;
[[Безопасность_компьютерных_систем_21/22 | Безопасность компьютерных систем 21/22]]&lt;br /&gt;
&lt;br /&gt;
[http://wiki.cs.hse.ru/%D0%A7%D0%B8%D1%81%D0%BB%D0%B5%D0%BD%D0%BD%D1%8B%D0%B5_%D0%9C%D0%B5%D1%82%D0%BE%D0%B4%D1%8B_2022#.D0.A3.D1.87.D0.B5.D0.B1.D0.BD.D1.8B.D0.B9_.D0.BF.D0.BB.D0.B0.D0.BD Численные методы (2022)]&lt;br /&gt;
&lt;br /&gt;
[[Методы_оптимизации_21/22 | Методы оптимизации 21/22]]&lt;br /&gt;
&lt;br /&gt;
[http://wiki.cs.hse.ru/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%BE%D0%B5_%D0%BC%D0%BE%D0%B4%D0%B5%D0%BB%D0%B8%D1%80%D0%BE%D0%B2%D0%B0%D0%BD%D0%B8%D0%B5_22 Математическое моделирование]&lt;br /&gt;
&lt;br /&gt;
[http://wiki.cs.hse.ru/NIS-TCS-20-21 НИС Теоретическая информатика]&lt;br /&gt;
&lt;br /&gt;
[[time_series_modelling_21_22 | Моделирование временных рядов 21/22]]&lt;br /&gt;
&lt;br /&gt;
[[Анализ данных в бизнесе (Кафедра SAS) 21/22 | Анализ данных в бизнесе (Кафедра SAS) 21/22]]&lt;br /&gt;
&lt;br /&gt;
[[Comb2021_2022 | Комбинаторные конструкции в теоретической информатике]]&lt;br /&gt;
&lt;br /&gt;
[[Машинное_обучение_1/2021_2022 | Машинное обучение 1]]&lt;br /&gt;
&lt;br /&gt;
[[Theory of Computation 2021 | Theory of Computation]]&lt;br /&gt;
&lt;br /&gt;
[http://math-info.hse.ru/s21/8 Прикладные дифференциальные уравнения]&lt;br /&gt;
&lt;br /&gt;
[[Сбор_и_разметка_данных_для_машинного_обучения_21/22 | Сбор и разметка данных для машинного обучения 21/22]]&lt;br /&gt;
&lt;br /&gt;
[[Промышленное_программирование_на_языке_Java/2022 | Промышленное программирование на языке Java]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ПМИ / PC&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://osukhoroslov-hse.notion.site/5ca71a3b2b17452599f169468df43408 НИС Распределенные системы]&lt;br /&gt;
&lt;br /&gt;
[[Database_Systems_2022 | Database Systems 2022]]&lt;br /&gt;
&lt;br /&gt;
[https://osukhoroslov-hse.notion.site/082aef7073a844afa4c1bf718a773d77 Распределенные системы]&lt;br /&gt;
&lt;br /&gt;
[https://naorlov.notion.site/naorlov/Nets-2021-51931594039e40aeb9102b784d7a8e70 Компьютерные сети]&lt;br /&gt;
&lt;br /&gt;
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[[Технологии прикладного анализа данных SAS | Технологии прикладного анализа данных SAS]]&lt;br /&gt;
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[[SAS Technologies for Data Mining | SAS Technologies for Data Mining]]&lt;br /&gt;
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||&lt;br /&gt;
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[[Введение_в_дифференциальную_геометрию_2022 | Введение в дифференциальную геометрию 2022]]&lt;br /&gt;
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[[Символьные_вычисления_21/22 | Символьные вычисления 21/22]]&lt;br /&gt;
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[[Теория_и_практика_онлайн-экспериментов_21/22 | Теория и практика онлайн-экспериментов 21/22]]&lt;br /&gt;
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[[Безопасность_компьютерных_систем_21/22 | Безопасность компьютерных систем 21/22]]&lt;br /&gt;
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[http://wiki.cs.hse.ru/%D0%94%D0%B8%D0%B7%D0%B0%D0%B9%D0%BD_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC_21/22 Дизайн систем]&lt;br /&gt;
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[http://wiki.cs.hse.ru/%D0%9E%D1%81%D0%BD%D0%BE%D0%B2%D1%8B_%D1%82%D0%B5%D0%BD%D0%B7%D0%BE%D1%80%D0%BD%D1%8B%D1%85_%D0%B2%D1%8B%D1%87%D0%B8%D1%81%D0%BB%D0%B5%D0%BD%D0%B8%D0%B9 Основы тензорых вычислений]&lt;br /&gt;
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[[Сбор_и_разметка_данных_для_машинного_обучения_21/22 | Сбор и разметка данных для машинного обучения 21/22]]&lt;br /&gt;
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[[Байесовские_методы_машинного_обучения_2021 | Байесовские методы машинного обучения]]&lt;br /&gt;
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[[НИС_Машинное_обучение_и_приложения_4_курс_2021/2022 | НИС Машинное обучение и приложения 4 курс]]&lt;br /&gt;
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[https://artemova.notion.site/artemova/c88a68750cff4b509699fa127be11801 Глубинное обучение для текстовых данных 2021/2022]&lt;br /&gt;
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[http://wiki.cs.hse.ru/LSML_2021/2022 Машинное обучение для больших данных 21/22]&lt;br /&gt;
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[[Эффективные системы глубинного обучения 21/22|Эффективные системы глубинного обучения]]&lt;br /&gt;
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&#039;&#039;&#039;ПМИ / РС&#039;&#039;&#039;&lt;br /&gt;
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[https://osukhoroslov-hse.notion.site/2-0cd36b67b9f64182bfeabcda9ede647a НИС Распределенные системы 2]&lt;br /&gt;
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[[msbdp_21 | Методы и системы обработки больших данных]]&lt;br /&gt;
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[https://osukhoroslov-hse.notion.site/cee4a50ac8cf4e328cefbd35cf822fa5 Облачные вычисления]&lt;br /&gt;
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[[InfTheory2021 | Теория информации]]&lt;br /&gt;
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[[OWF2021 | Односторонние функции и их применения]]&lt;br /&gt;
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[[ConvAppr22 | Выпуклое программирование и аппроксимационные алгоритмы ]]&lt;br /&gt;
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[[Statistics 4mr 2021-22 | Statistical Methods for Market Research (DSBA)]]&lt;br /&gt;
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[[Decision Making Strategy]]&lt;br /&gt;
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||&lt;br /&gt;
&lt;br /&gt;
[[Дополнительные_главы_теории_вероятностей_2022|ДГТВ]]&lt;br /&gt;
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[[Дополнительные_главы_теории_вероятностей-2_2021/2022|ДГТВ-2]]&lt;br /&gt;
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[[NonClassicalLogics|Факультатив &amp;quot;Неклассические логики&amp;quot; (3 модуль)]]&lt;br /&gt;
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[[Криптография_на_решётках_21/22| Криптография на решётках]]&lt;br /&gt;
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[http://wiki.cs.hse.ru/%D0%9C%D0%B0%D0%B9%D0%BD%D0%BE%D1%80_%D0%91%D0%B8%D0%BE%D0%B8%D0%BD%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0_1_%D0%B3%D0%BE%D0%B4_2021/22 Майнор Биоинформатика 1 год 2021/22]&lt;br /&gt;
&lt;br /&gt;
[[Майнор_Биоинформатика_2_год_2021/22|Майнор Биоинформатика 2 год 2021/22]]&lt;br /&gt;
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[[Введение_в_программирование_21/22_(майнор_ИАД) | Введение в программирование 21/22 (майнор ИАД)]]&lt;br /&gt;
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[[Основы_машинного_обучения | Основы машинного обучения (майнор ИАД)]]&lt;br /&gt;
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[[Основы_глубинного_обучения/2021_2022 | Основы глубинного обучения (майнор ИАД)]]&lt;br /&gt;
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[[Прикладные_задачи_анализа_данных | Прикладные задачи анализа данных (майнор ИАД)]]&lt;br /&gt;
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[[Функциональное_программирование_2019 | Функциональное программирование 2021]]&lt;br /&gt;
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[[KotlinElective|Факультатив &amp;quot;Язык Kotlin&amp;quot; (ноя-дек 2021)]]&lt;br /&gt;
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[[Dopglavy_DM_2022| Дополнительные главы дискретной математики]]&lt;br /&gt;
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[[Факультатив_Data_Science_в_игровой_индустрии_(SAS) | Факультатив Data Science в игровой индустрии (SAS)]]&lt;br /&gt;
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[[Факультатив_Анализ_данных_на_платформе_SAS | Факультатив Анализ данных на платформе SAS]]&lt;br /&gt;
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[https://rroll.to/2D8yXl Основы и методология пикапа на ПМИ 2021/2022]&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Курсы в рамках проекта [https://www.hse.ru/dataculture/ Data Culture]==&lt;br /&gt;
&lt;br /&gt;
=== 2 семестр ===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-  &lt;br /&gt;
! Дисциплина !! Образовательная программа !! Курс !! Модули &lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%9F%D1%80%D0%BE%D0%B3%D1%80%D0%B0%D0%BC%D0%BC%D0%B8%D1%80%D0%BE%D0%B2%D0%B0%D0%BD%D0%B8%D0%B5_%D0%BD%D0%B0_%D1%8F%D0%B7%D1%8B%D0%BA%D0%B5_Python,_%D0%B6%D1%83%D1%80%D0%BD%D0%B0%D0%BB%D0%B8%D1%81%D1%82%D0%B8%D0%BA%D0%B0_2022 Программирование на языке Python] || Журналистика || 2 курс || 4 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/Программирование_на_Python_деп_медиа_2022 Программирование на языке Python] || Журналистика и Медиакоммуникации || 1 курс || 3 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/Python_для_ОП_%22Психология%22_2021/2022 Программирование на языке Python] ||Психология || 1 курс || 3-4 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/Python_для_ОП_%22Экономика_и_статистика%22_и_ОП_%22География_глобальных_изменений%22_2021/2022 Программирование на языке Python] ||Экономика и статистика; География глобальных изменений || 2 курс || 3 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [[Культура работы с данными]] ||Иностранные языки и межкультурная коммуникация || 1 курс || 3-4 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [[Машинное обучение на матфаке 2022|Машинное обучение]] || Математика || 3-4 модули || 3-4 модули &lt;br /&gt;
|-&lt;br /&gt;
| [[Введение_в_МО_БИ_21/22| Введение в машинное обучение]] || Бизнес-информатика || 3 курс || 3-4 модули &lt;br /&gt;
|-&lt;br /&gt;
| [[Excel для анализа данных 21-22]] || Иностранные языки и межкультурная коммуникация || 4 курс || 3 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [[Введение в Data Science 21-22]] || УБ и МиРА || 2 курс || 4 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [[Основы программирования в Python (Мирэк) 2022 | Основы программирования в Python]] || Мировая экономика || 2 курс || 3-4 модуль&lt;br /&gt;
|-&lt;br /&gt;
|[http://wiki.cs.hse.ru/Python_%D0%B4%D0%BB%D1%8F_%D0%B8%D0%B7%D0%B2%D0%BB%D0%B5%D1%87%D0%B5%D0%BD%D0%B8%D1%8F_%D0%B8_%D0%BE%D0%B1%D1%80%D0%B0%D0%B1%D0%BE%D1%82%D0%BA%D0%B8_%D0%B4%D0%B0%D0%BD%D0%BD%D1%8B%D1%85_%D0%A5%D0%B8%D0%BC%D0%B8%D1%8F Python для извлечения и обработки данных] || Химия || 2 курс || 4 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/Цифровая_грамотность_Городское_планирование_2021-2022 Цифровая грамотность] || Городское планирование || 1 курс || 4 модуль&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== 1 семестр ===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-  &lt;br /&gt;
! Дисциплина !! Образовательная программа !! Курс !! Модули &lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%A6%D0%B8%D1%84%D1%80%D0%BE%D0%B2%D0%B0%D1%8F_%D0%B3%D1%80%D0%B0%D0%BC%D0%BE%D1%82%D0%BD%D0%BE%D1%81%D1%82%D1%8C_%D0%93%D0%B5%D0%BE%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D1%8F_2020/21 Цифровая грамотность] || География глобальных измерений и геоинформационные технологии || 1 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [[Цифровая грамотность, Востоковедение 2021/2022| Цифровая грамотность]] || Востоковедение || 1 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
|[[Цифровая Грамотность ИКВиА 2021/2022 | Цифровая грамотность]] || ИКВиА || 1 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%98%D0%BD%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%86%D0%B8%D0%BE%D0%BD%D0%BD%D1%8B%D0%B5_%D1%82%D0%B5%D1%85%D0%BD%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D0%B8_%D0%B2_%D0%B4%D0%B5%D1%8F%D1%82%D0%B5%D0%BB%D1%8C%D0%BD%D0%BE%D1%81%D1%82%D0%B8_%D1%8E%D1%80%D0%B8%D1%81%D1%82%D0%B0_2018-2019 Цифровая грамотность] || Юриспруденция || 1 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%98%D0%BD%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%86%D0%B8%D0%BE%D0%BD%D0%BD%D1%8B%D0%B5_%D1%82%D0%B5%D1%85%D0%BD%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D0%B8_%D0%B2_%D0%B4%D0%B5%D1%8F%D1%82%D0%B5%D0%BB%D1%8C%D0%BD%D0%BE%D1%81%D1%82%D0%B8_%D1%8E%D1%80%D0%B8%D1%81%D1%82%D0%B0_2018-2019 Цифровая грамотность] || Юриспруденция:частное право || 1 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%A6%D0%B8%D1%84%D1%80%D0%BE%D0%B2%D0%B0%D1%8F_%D0%B3%D1%80%D0%B0%D0%BC%D0%BE%D1%82%D0%BD%D0%BE%D1%81%D1%82%D1%8C_%D0%98%D1%81%D1%82%D0%BE%D1%80%D0%B8%D1%8F_2021/2022 Цифровая грамотность] ||История || 1 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/Цифровая_грамотность_Филология_2021/2022 Цифровая грамотность] || Филология || 1 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%A6%D0%B8%D1%84%D1%80%D0%BE%D0%B2%D0%B0%D1%8F_%D0%B3%D1%80%D0%B0%D0%BC%D0%BE%D1%82%D0%BD%D0%BE%D1%81%D1%82%D1%8C_2020-21_(%D0%9A%D1%83%D0%BB%D1%8C%D1%82%D1%83%D1%80%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%8F) Цифровая грамотность] || Культурология || 1 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%A6%D0%B8%D1%84%D1%80%D0%BE%D0%B2%D0%B0%D1%8F_%D0%B3%D1%80%D0%B0%D0%BC%D0%BE%D1%82%D0%BD%D0%BE%D1%81%D1%82%D1%8C_%D0%94%D0%B5%D0%BF%D0%B0%D1%80%D1%82%D0%B0%D0%BC%D0%B5%D0%BD%D1%82_%D0%9C%D0%B5%D0%B4%D0%B8%D0%B0_2021-2022 Цифровая грамотность] || Медиакоммуникации и Журналистика || 1 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/Цифровая_грамотность_Философия_2021/2022 Цифровая грамотность] || Философия || 1 курс || 1-2 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/Основы_программирования_на_Python_осень_2021_матфак Основы программирования на Python] || Математика || 3 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%90%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7_%D0%B4%D0%B0%D0%BD%D0%BD%D1%8B%D1%85_%D0%B2_R,_%D0%A1%D0%BE%D1%86%D0%B8%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%8F Анализ данных в R] || Социология || 4 курс || 1-2 модули&lt;br /&gt;
|- &lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%9F%D0%9C%D0%A1%D0%90%D0%A0-2_2020 Методы анализа больших данных в исследованиях поведения покупателя] || Прикладные методы социального анализа рынков (магистратура) || 2 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%9C%D0%B0%D1%88%D0%B8%D0%BD%D0%BD%D0%BE%D0%B5_%D0%BE%D0%B1%D1%83%D1%87%D0%B5%D0%BD%D0%B8%D0%B5_(%D0%A4%D0%AD%D0%9D)_-_2021-2022 Машинное обучение] || Экономика || 3,4 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [[Программирование_ЭкСтат_ГП | Программирование на языке Python ]] || Городское планирование, Экономика и статистика || 3 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [[Основы анализа данных в международных отношениях 2021/2022 | Основы анализа данных в международных отношениях]] || Международные отношения || 2 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/Python_%D0%B4%D0%BB%D1%8F_%D0%B8%D0%B7%D0%B2%D0%BB%D0%B5%D1%87%D0%B5%D0%BD%D0%B8%D1%8F_%D0%B8_%D0%BE%D0%B1%D1%80%D0%B0%D0%B1%D0%BE%D1%82%D0%BA%D0%B8_%D0%B4%D0%B0%D0%BD%D0%BD%D1%8B%D1%85 Python извлечение и обработка данных] || Клеточная и молекулярная биотехнология || 1 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%9E%D1%81%D0%BD%D0%BE%D0%B2%D1%8B_%D0%BF%D1%80%D0%BE%D0%B3%D1%80%D0%B0%D0%BC%D0%BC%D0%B8%D1%80%D0%BE%D0%B2%D0%B0%D0%BD%D0%B8%D1%8F_%D0%B2_Python_(%D0%9F%D0%BE%D0%BB%D0%B8%D1%82%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%8F_2020) Основы программирования в Python ] || Политология || 3 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/Основы_работы_с_данными:_сбор,_анализ,_визуализация_(ОП_%22Журналистика%22) Основы работы с данными: сбор, анализ, визуализация] || Журналистика || 3 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%92%D0%B2%D0%B5%D0%B4%D0%B5%D0%BD%D0%B8%D0%B5_%D0%B2_Data_Science Data Science] || Экономика впечатлений: менеджмент в индустрии гостеприимства и туризме (магистратура) || 1 курс || 2 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%9C%D0%B0%D1%88%D0%B8%D0%BD%D0%BD%D0%BE%D0%B5_%D0%BE%D0%B1%D1%83%D1%87%D0%B5%D0%BD%D0%B8%D0%B5_(%D1%81%D0%BE%D0%B2._%D0%B1%D0%B0%D0%BA._%D0%92%D0%A8%D0%AD-%D0%A0%D0%AD%D0%A8_2021) Машинное обучение] || Совместный бакалавриат НИУ ВШЭ и РЭШ || 3 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
|  &lt;br /&gt;
|| Бакалавриат НИУ ВШЭ и Лондонского университета || 3 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
|  [http://wiki.cs.hse.ru/Data_Analysis_in_Economics_and_Finance_2020-2021 Data Analysis in Economics and Finance] || Бакалавриат НИУ ВШЭ и Лондонского университета || 3 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
|  [http://wiki.cs.hse.ru/Data_Analysis_in_Journalism_and_Political_Science_2020-2021 Data Analysis in Journalism and Political Science]|| Бакалавриат НИУ ВШЭ и Лондонского университета || 3 курс || 1-2 модули&lt;br /&gt;
|-&lt;br /&gt;
|  [http://wiki.cs.hse.ru/%D0%9F%D1%80%D0%B8%D0%BA%D0%BB%D0%B0%D0%B4%D0%BD%D1%8B%D0%B5_%D0%B8%D1%81%D1%81%D0%BB%D0%B5%D0%B4%D0%BE%D0%B2%D0%B0%D0%BD%D0%B8%D1%8F_%D0%B2_%D0%BA%D1%83%D0%BB%D1%8C%D1%82%D1%83%D1%80%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D0%B8_2020_1%D0%BC%D0%BE%D0%B4%D1%83%D0%BB%D1%8C Прикладные исследования в культурологии] || Прикладная культурология (магистратура) || 1 курс || 1 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%9F%D1%80%D0%BE%D0%B3%D1%80%D0%B0%D0%BC%D0%BC%D0%B8%D1%80%D0%BE%D0%B2%D0%B0%D0%BD%D0%B8%D0%B5_%D0%B8_%D0%BA%D0%BE%D0%BC%D0%BF%D1%8C%D1%8E%D1%82%D0%B5%D1%80%D0%BD%D1%8B%D0%B5_%D0%B8%D0%BD%D1%81%D1%82%D1%80%D1%83%D0%BC%D0%B5%D0%BD%D1%82%D1%8B_%D0%BB%D0%B8%D0%BD%D0%B3%D0%B2%D0%B8%D1%81%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%BE%D0%B3%D0%BE_%D0%B8%D1%81%D1%81%D0%BB%D0%B5%D0%B4%D0%BE%D0%B2%D0%B0%D0%BD%D0%B8%D1%8F Программирование и лингвистические данные] || Фундаментальная и компьютерная лингвистика || 1 курс || 1, 2, 3, 4 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%9F%D1%80%D0%BE%D0%B3%D1%80%D0%B0%D0%BC%D0%BC%D0%B8%D1%80%D0%BE%D0%B2%D0%B0%D0%BD%D0%B8%D0%B5_%D0%B8_%D0%BA%D0%BE%D0%BC%D0%BF%D1%8C%D1%8E%D1%82%D0%B5%D1%80%D0%BD%D1%8B%D0%B5_%D0%B8%D0%BD%D1%81%D1%82%D1%80%D1%83%D0%BC%D0%B5%D0%BD%D1%82%D1%8B_%D0%BB%D0%B8%D0%BD%D0%B3%D0%B2%D0%B8%D1%81%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%BE%D0%B3%D0%BE_%D0%B8%D1%81%D1%81%D0%BB%D0%B5%D0%B4%D0%BE%D0%B2%D0%B0%D0%BD%D0%B8%D1%8F Программирование и лингвистические данные] || Фундаментальная и компьютерная лингвистика || 1 курс || 1, 2, 3 модули&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/%D0%9A%D0%BE%D0%BC%D0%BF%D1%8C%D1%8E%D1%82%D0%B5%D1%80%D0%BD%D0%B0%D1%8F_%D0%BB%D0%B8%D0%BD%D0%B3%D0%B2%D0%B8%D1%81%D1%82%D0%B8%D0%BA%D0%B0_%D0%B8_%D0%B8%D0%BD%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%86%D0%B8%D0%BE%D0%BD%D0%BD%D1%8B%D0%B5_%D1%82%D0%B5%D1%85%D0%BD%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D0%B8 Программирование и теория алгоритмов] || Фундаментальная и компьютерная лингвистика || 3 курс || 2, 3, 4 модули&lt;br /&gt;
|-&lt;br /&gt;
| [https://github.com/daria-sa/NNmethods_ba_hse21-22/ Нейросетевые методы в обработке текстов] || Фундаментальная и компьютерная лингвистика || 4 курс || 1, 2, 3 модули&lt;br /&gt;
|-&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Курсы магистратуры ФКН ==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| [[Modern_Data_Analysis_2021_2022 | Modern Data Analysis]] || Data Science (Науки о данных) || 2 year&lt;br /&gt;
|-&lt;br /&gt;
| [[Project_Seminar_2021_2022 | Проектный семинар специализации ТИ]] || Науки о данных, специализация ТИ || 1 year&lt;br /&gt;
|-&lt;br /&gt;
| [[Theory of Computation 2021 | Theory of Computation]] || Науки о данных, специализация ТИ || 1 year&lt;br /&gt;
|-&lt;br /&gt;
| [[ConvAppr22 | Выпуклое программирование и аппроксимационные алгоритмы ]] || Науки о данных, специализация ТИ ||  1 year&lt;br /&gt;
|-&lt;br /&gt;
| [[RecSys_2021_2022 | Рекомендательные системы]] || ФТИАД || 2 year&lt;br /&gt;
|-&lt;br /&gt;
| [[Stochastic_analysis_2021_2022 | Стохастический анализ 2021-2022]] || Math of Machine Learning || 1 year&lt;br /&gt;
|-&lt;br /&gt;
| [[Reinforcement_learning_2021_2022 | Математические основы обучения с подкреплением 2021-2022]] || Math of Machine Learning || 2 year&lt;br /&gt;
|-&lt;br /&gt;
| [[Theoretical_Computer_Science_2022 | Theoretical computer science 2021-2022]] || Theoretical computer science || PhD&lt;br /&gt;
|-&lt;br /&gt;
| [[Машинное_обучение_(современные_методы)-МОиВС-2021-2022 | Машинное обучение (современные методы)]] || Машинное обучение и высоконагруженные системы|| 1 year&lt;br /&gt;
|-&lt;br /&gt;
| [[Алгоритмы_и_структуры_данных-МОиВС-2021-2022 | Алгоритмы и структуры данных]] || Машинное обучение и высоконагруженные системы|| 1 year&lt;br /&gt;
|-&lt;br /&gt;
| [[Основы_промышленной_разработки-МОиВС-2021-2022 | Основы промышленной разработки]] || Машинное обучение и высоконагруженные системы|| 1 year&lt;br /&gt;
|-&lt;br /&gt;
| [[Глубинное обучение-МОиВС-2022-2023 | Глубинное обучение]] || Машинное обучение и высоконагруженные системы|| 1 year&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Курсы других факультетов ==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; &lt;br /&gt;
|-&lt;br /&gt;
! Дисциплина !! Курс !! Период&lt;br /&gt;
|-&lt;br /&gt;
| [http://wiki.cs.hse.ru/Econ_probability_2021-22 Теория вероятностей и математическая статистика] || фэн, 2 курс || 1-4 модуль&lt;br /&gt;
|-&lt;br /&gt;
| [[Динамическая оптимизация в экономике и финансах, фэн, 2021/22|Динамическая оптимизация в экономике и финансах]] || фэн, 3-4 курс || 1-2 модуль&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
= Архив до 2020/21 учебного года включительно =&lt;br /&gt;
[[Wiki ФКН/Архив]]&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Machine_learning_2_DSBA_2022/2023&amp;diff=73955</id>
		<title>Machine learning 2 DSBA 2022/2023</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Machine_learning_2_DSBA_2022/2023&amp;diff=73955"/>
		<updated>2022-11-10T07:17:18Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Teachers &amp;amp; assistants ==&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Group !! 191 !! 192 !! 193&lt;br /&gt;
|-&lt;br /&gt;
|| Lecturer &lt;br /&gt;
| colspan=&amp;quot;3&amp;quot; | [https://www.hse.ru/en/staff/atsvigun Tsvigun A.O.]&lt;br /&gt;
[mailto:atsvigun@hse.ru atsvigun@hse.ru] , tg: [https://tlgg.ru/aktsvigun @aktsvigun]&lt;br /&gt;
|- &lt;br /&gt;
|| Workshop Instructor &lt;br /&gt;
|| Tsvigun A. &amp;lt;br&amp;gt; [mailto:atsvigun@hse.ru atsvigun@hse.ru] &amp;lt;br&amp;gt; tg: [https://tlgg.ru/aktsvigun @aktsvigun] &amp;lt;br&amp;gt;&lt;br /&gt;
|| Sanochkin L. &amp;lt;br&amp;gt; [mailto:lsanochkin@hse.ru  lsanochkin@hse.ru ] &amp;lt;br&amp;gt; tg: [https://tlgg.ru/lsanochkin @lsanochkin] &amp;lt;br&amp;gt;&lt;br /&gt;
|| Vazhentsev A. &amp;lt;br&amp;gt; [mailto:aavazhentsev@hse.ru aavazhentsev@hse.ru] &amp;lt;br&amp;gt; tg: [https://t.me/artemvazh @artemvazh] &amp;lt;br&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;3&amp;quot; | Assistant &lt;br /&gt;
|| Garshin S. &amp;lt;br&amp;gt; tg: [https://t.me/SeregaEFD @SeregaEFD]&lt;br /&gt;
|| Matyash D. &amp;lt;br&amp;gt; tg: [https://t.me/bwdare @bwdare]&lt;br /&gt;
|| Buzilov G. &amp;lt;br&amp;gt; tg: [https://t.me/GBuzilov @GBuzilov]&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Grading system ==&lt;br /&gt;
&lt;br /&gt;
The ultimate grade G for the whole course is calculated as: &#039;&#039;&#039;G = 0.25 · module_1 + 0.25 · module_2 + 0.5 ·  module_3 &#039;&#039;&#039; &amp;lt;br&amp;gt;&lt;br /&gt;
where &#039;&#039;&#039;module_1&#039;&#039;&#039; is calculated as 0.4 ·  КР + 0.3 · ПР + 0.3 · ДЗ,  &#039;&#039;&#039;module_2&#039;&#039;&#039; is calculated as 0.4 · ПР + 0.6 · ДЗ and &#039;&#039;&#039;module_3&#039;&#039;&#039; is calculated as 0.2 · ПР + 0.3 · ДЗ + 0.5 · ЭКЗ. &amp;lt;br&amp;gt;&lt;br /&gt;
Grade &#039;&#039;&#039;G&#039;&#039;&#039; is rounded (up or down) to an integer number of points before entering them into records. Grades for &#039;&#039;&#039;each module&#039;&#039;&#039; are also rounded.&lt;br /&gt;
&lt;br /&gt;
== Results ==&lt;br /&gt;
&lt;br /&gt;
The results table can be found by [https://docs.google.com/spreadsheets/d/1AQAtJjFn10KqKAIib5NHTT9g3nNUdINOlvHgHH8WPW8/edit#gid=0 this link].&lt;br /&gt;
&lt;br /&gt;
== Smart LMS Course link ==&lt;br /&gt;
&lt;br /&gt;
The link for the course may be observed here: [https://smartedu.hse.ru/course/0/133346 source].&lt;br /&gt;
&lt;br /&gt;
== GitHub source ==&lt;br /&gt;
&lt;br /&gt;
[https://github.com/Aktsvigun/ml-2 link].&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Machine_learning_2_DSBA_2022/2023&amp;diff=73308</id>
		<title>Machine learning 2 DSBA 2022/2023</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Machine_learning_2_DSBA_2022/2023&amp;diff=73308"/>
		<updated>2022-10-14T15:28:12Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: Новая страница: «== Teachers &amp;amp; assistants == {| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot; |- ! Group !! 191 !! 192 !! 193 |- || Lecturer  | colspan=&amp;quot;3&amp;quot; | [https://www.hse.ru/en/…»&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Teachers &amp;amp; assistants ==&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Group !! 191 !! 192 !! 193&lt;br /&gt;
|-&lt;br /&gt;
|| Lecturer &lt;br /&gt;
| colspan=&amp;quot;3&amp;quot; | [https://www.hse.ru/en/staff/atsvigun Tsvigun A.O.]&lt;br /&gt;
[mailto:atsvigun@hse.ru atsvigun@hse.ru] , tg: [https://tlgg.ru/aktsvigun @aktsvigun]&lt;br /&gt;
|- &lt;br /&gt;
|| Workshop Instructor &lt;br /&gt;
|| Tsvigun A. &amp;lt;br&amp;gt; [mailto:atsvigun@hse.ru atsvigun@hse.ru] &amp;lt;br&amp;gt; tg: [https://tlgg.ru/aktsvigun @aktsvigun] &amp;lt;br&amp;gt;&lt;br /&gt;
|| Sanochkin L. &amp;lt;br&amp;gt; [mailto:lsanochkin@hse.ru  lsanochkin@hse.ru ] &amp;lt;br&amp;gt; tg: [https://tlgg.ru/lsanochkin @lsanochkin] &amp;lt;br&amp;gt;&lt;br /&gt;
|| Vazhentsev A. &amp;lt;br&amp;gt; [mailto:aavazhentsev@hse.ru aavazhentsev@hse.ru] &amp;lt;br&amp;gt; tg: [https://t.me/artemvazh @artemvazh] &amp;lt;br&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
|-&lt;br /&gt;
| rowspan=&amp;quot;3&amp;quot; | Assistant &lt;br /&gt;
|| Garshin S. &amp;lt;br&amp;gt; tg: [https://t.me/SeregaEFD @SeregaEFD]&lt;br /&gt;
|| Matyash D. &amp;lt;br&amp;gt; tg: [https://t.me/bwdare @bwdare]&lt;br /&gt;
|| Buzilov G. &amp;lt;br&amp;gt; tg: [https://t.me/GBuzilov @GBuzilov]&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70595</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70595"/>
		<updated>2022-06-08T09:55:37Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 25.04.2022&#039;&#039;&#039; Systems of difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/GhYf_igqN3mTrieM_C9SR5QnjihkozRt2lJiiWSVOGQuu6V0Xb5YJnx3qTWtA2w.sLxyofjeV2jRR7Am Passcode: !@fz=Yt1], [https://youtu.be/3sR8sgsyfGw Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 30.05.2022&#039;&#039;&#039; Autonomous systems and types of equilibria.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/e9BKimG158ZBxoEEM9rQ8GAHbKoytvSu3QMR_Y63VRpIs5iRcYwWZlfnyZ1f_-Ah.GySDV-9DZzQ7qt7N Passcode: 1r$m3Yc3], [https://youtu.be/W6okCpU8Xbw Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 01.06.2022&#039;&#039;&#039; Equilibria of nonlinear systems.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/I9F1dl6y8i-n8j5AftIKsbSrjROoXos0v0gglaFUtNZ55rhQjV8YxIUPZJS6-1qa.OYcy4xXG2n_BdjaX Passcode: PG=5%NB$]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 06.06.2022&#039;&#039;&#039; Liapounov&#039;s function.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/WYroPm0n88bzwGnXI1C3Wy-mE4OfVFPljv5w9UfJLEXkbdRxCsMYRW1jFbXHHET5.hbuKkOT-KDRFWWGk Passcode: #!1Yx^11], [https://youtu.be/iKdT7ACv9ZE Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 08.06.2022&#039;&#039;&#039; Exam preparation.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/d9vrB_8Nl9bDB6UJcXa9T7w5f8gF8n-lSJIo---9JCkuB_E-jeO_Ud5-srxWRVer.7U9apJUTONxcq9b0 Passcode: Md7e!SWH], [https://youtu.be/itPdn9xQx-o Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039; ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Last year exam&#039;&#039;: [https://disk.yandex.ru/i/UCRJUw-KNVHicg]&lt;br /&gt;
&lt;br /&gt;
==== Final exam is set on Monday June 20 at 9.30 and it will last till 11.30 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/UbRyGmal5FvwcQ Home assignment 6], due on &amp;quot;June 12th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F_(%D0%9F%D0%9C%D0%98)_2022/23&amp;diff=70571</id>
		<title>Дифференциальные уравнения (ПМИ) 2022/23</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F_(%D0%9F%D0%9C%D0%98)_2022/23&amp;diff=70571"/>
		<updated>2022-06-07T10:20:01Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Объявления ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Внимание, это важно!&lt;br /&gt;
Начало контрольной в оффлайне и онлайне в 13:00. Она длится 80 минут. Просьба прийти на 15 минут раньше и войти в зум (кто в онлайне) тоже в 12:45.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
В аудитории R401 пишут группы 1,2,3. А группы 4 и 5 пишут в R404.&lt;br /&gt;
&lt;br /&gt;
Вход в зум по лекционной ссылке. Она такая: https://us06web.zoom.us/j/96572307700?pwd=dm50Wmk4ZnYvSWVKeFkwOGNZdWcrdz09 пароль на вход (если потребуется) 668114.&lt;br /&gt;
&lt;br /&gt;
Работы в онлайне будут загружаться в гугл-форму или, если не получится, то на почту лектора kbukin@hse.ru . Списки пишущих в онлайне предоставлены учебным офисом. Требования к пишущим в онлайне обычные, важно иметь с собою студбилет или паспорт.&lt;br /&gt;
&lt;br /&gt;
Ссылка на форму для загрузки решений:&lt;br /&gt;
&lt;br /&gt;
https://docs.google.com/forms/d/e/1FAIpQLSef5LnehsMeGejuWhpvzU0B9KXloWuZspbfETu8sYk-GRrhgQ/viewform&lt;br /&gt;
&lt;br /&gt;
Контрольная будет проведена 1 апреля (без шуток). Она считается экзаменом за третий модуль. Таков регламент учебного процесса. Важно к ней хорошо подготовиться, чтобы написать на положительную оценку. В нее войдут темы первых трех домашек курса, а также системы линейных уравнений с постоянными коэффициентами. Демо версия контрольной размещена ниже.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Оценка за третий модуль вычисляется по формуле: max(оценка за контрольную, среднее из оценок за первые три домашки).&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;Это означает, что при высоких баллах за домашки контрольная может быть пропущена.&#039;&#039; &#039;&#039;&#039;Формула итоговой оценки тогда рассчитывается как: 0,4*Экзамен+0,3*оценка за третий модуль+0,3*оценка за домашки.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Следите за объявлениями учебного офиса и расписанием.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== О курсе ==&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Разработчики:&#039;&#039;&#039;	Букин Кирилл Александрович - лектор. &lt;br /&gt;
* &#039;&#039;&#039;Число кредитов:&#039;&#039;&#039;	5&lt;br /&gt;
* &#039;&#039;&#039;Контактная работа (час.):&#039;&#039;&#039;	80 (лекции: 40; семинары: 40)&lt;br /&gt;
* &#039;&#039;&#039;Самостоятельная работа (час.):&#039;&#039;&#039;	110&lt;br /&gt;
* &#039;&#039;&#039;Образовательная программа:&#039;&#039;&#039;	Прикладная математика и информатика (2 курс)&lt;br /&gt;
* &#039;&#039;&#039;Язык преподавания:&#039;&#039;&#039;	Русский&lt;br /&gt;
* &#039;&#039;&#039;Формат изучения:&#039;&#039;&#039;	без онлайн-курса&lt;br /&gt;
* &#039;&#039;&#039;Формат промежуточного контроля:&#039;&#039;&#039; Контрольная работа (80 минут)=приравнивается экзамену за третий модуль&lt;br /&gt;
* &#039;&#039;&#039;Формат экзамена:&#039;&#039;&#039;	Очный (оффлайн) (120 минут)&lt;br /&gt;
&lt;br /&gt;
== Презентация курса ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:1000px; overflow: hidden;&amp;quot;&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
=== Цель освоения дисциплины ===&lt;br /&gt;
* Обучить студентов методам решения и исследования качественного поведения решений дифференциальных уравнений, составляющих основу математических моделей различных теоретических и практических инженерно-экономических задач&lt;br /&gt;
* Выработать навыки математического исследования прикладных вопросов и умения перевести инженерно-экономическую задачу на математический язык&lt;br /&gt;
* Повысить общий уровень математической культуры&lt;br /&gt;
* Научить самостоятельно изучать учебную и научную литературу по дифференциальным уравнениям&lt;br /&gt;
&lt;br /&gt;
=== Планируемые результаты обучения ===&lt;br /&gt;
* Владеть навыками анализа естественнонаучных задач с помощью дифференциальных уравнений&lt;br /&gt;
* Владеть навыками численного решения дифференциальных уравнений&lt;br /&gt;
* Знать доказательства основных теорем теории дифференциальных уравнений&lt;br /&gt;
* Знать определения основных понятий теории дифференциальных уравнений&lt;br /&gt;
* Знать примеры приложения теории дифференциальных уравнений к экономическим и естественнонаучным задачам&lt;br /&gt;
* Уметь исследовать качественные свойства дифференциальных уравнений&lt;br /&gt;
* Уметь решать основные типы дифференциальных уравнений&lt;br /&gt;
* Уметь строить фазовые портреты дифференциальных уравнений&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Преподаватели ===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Лектор:&#039;&#039;&#039; [https://www.hse.ru/org/persons/65522 Букин Кирилл Александрович]&lt;br /&gt;
&lt;br /&gt;
Группа в ТГ: https://t.me/+FbsGTlXKzyRiYTEy&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группы и семинаристы:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 1&#039;&#039;&#039;: [https://t.me/+eIKkI88IKOYxMjQy чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/staff/ansidiana Оноприенко Анастасия Александровна]&lt;br /&gt;
&lt;br /&gt;
Электронная почта ansidiana@yandex.ru. Телеграм: [https://t.me/ansidiana @ansidiana]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Григорьева Анастасия [https://t.me/weifoll Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 2&#039;&#039;&#039;: [https://t.me/+BxkTBfmQqr04MDAy чат в ТГ] &lt;br /&gt;
&lt;br /&gt;
Семинарист: Оноприенко Анастасия Александровна&lt;br /&gt;
&lt;br /&gt;
Электронная почта ansidiana@yandex.ru. Телеграм: [https://t.me/ansidiana @ansidiana]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Северенкова Анастасия [https://t.me/oleander_twig Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 3&#039;&#039;&#039;: [https://t.me/+IJ6i8XLB0Kc1ZTcy чат в ТГ] &lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/org/persons/218355200 Запрягаев Александр Александрович]&lt;br /&gt;
&lt;br /&gt;
Электронная почта azapryagaev@hse.ru. Телеграм (там ответы быстрее): [https://t.me/azapryagaev @azapryagaev]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Лисицына Анна [https://t.me/ammiya Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 4&#039;&#039;&#039;: [https://t.me/+sNRPdjLjHC8wY2Ni чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
[https://github.com/bdemeshev/pmi_de_spring_2022 Репка с конспектами.]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/staff/bbd Демешев Борис Борисович]&lt;br /&gt;
&lt;br /&gt;
Электронная почта boris.demeshev@gmail.com. Телеграм: [https://t.me/boris_demeshev @boris_demeshev]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Сизова Валерия [https://t.me/valerias_13 Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 5&#039;&#039;&#039;: [https://t.me/+8b5XMygTkEQ4ZTMy чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/org/persons/305969388 Лимонченко Иван Юрьевич]&lt;br /&gt;
&lt;br /&gt;
Электронная почта ilimonchenko@hse.ru. Телеграм: [https://t.me/ilimonchenko @ilimonchenko]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Козлов Алексей [https://t.me/futbol44k Телеграм]&lt;br /&gt;
&lt;br /&gt;
== Лекции ==&lt;br /&gt;
&amp;lt;big&amp;gt;Плейлист с записями &#039;&#039;&#039;лекций и семинаров группы 3&#039;&#039;&#039; на ютуб [https://youtube.com/playlist?list=PLEwK9wdS5g0o5zaPvrlXTGCpnPtbMIyMs тут].&amp;lt;/big&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Лекция 1. ДУ первого порядка. Запись можно открыть по ссылке: https://zoom.us/rec/share/Xc3XHh_ozGHEYHUpYqPQCnTBEI4pnHwPMm0ptCdmg9eFQWKQ1vZ_IMCB1Y5DMpf4.gxlSRwqNwjTyZAJf Passcode: 0@x7G%J&amp;amp;&lt;br /&gt;
&lt;br /&gt;
Лекция 2. Фундаментальная теорема существования и единственности решения задачи Коши. Запись можно открыть по ссылке: https://zoom.us/rec/share/hn3UQJNlMicGh4lX0chFZ_m63tUVVCgwqQEEZH5R301tw-i_GCa9flhGNGKXvX2F.cOjR-KVWFdXU9gSv Passcode: R%fD4^!1&lt;br /&gt;
&lt;br /&gt;
Лекция 3. Понятие равновесия. Модель Солоу в макро. Линейные уравнения с постоянными коэффициентами. Ссылка: &lt;br /&gt;
https://zoom.us/rec/share/vYk9tJIGsmtrQ7a4MFuabiTDZe9LZ5j5I62dbFuko0DsShEVd-CjrMcucuy9Cxoi.InoKZFXUoqf6QgSe (Passcode: U$b.5rpT)&lt;br /&gt;
&lt;br /&gt;
Лекция 4. Рассказана теория с доказательствами по решению линейных диффуров. &lt;br /&gt;
ссылка:&lt;br /&gt;
https://zoom.us/rec/share/I1R2pOIfd3kpf4ScdkAxvpDmfjLnRV50zfiwvTxbnpYBruQ0LzoQPaPkCzoTHGgf.oWq80Gyky4ay_RBS (Passcode: f&amp;amp;?xsa7H)&lt;br /&gt;
&lt;br /&gt;
Лекция 5. Метод неопределенных коэффициентов решения неоднородных уравнений. ссылка: https://zoom.us/rec/share/mrCyCpNIJNjwT_cCfrCUxh0SyC2rK2j_2WrGV3JmYG5WSOFOwtinns7YvN14YhMQ.Brl3Qa1poqVqWqFY (Passcode: %DV%1B^s)&lt;br /&gt;
&lt;br /&gt;
Лекция 6. Решение линейных систем ДУ с постоянными коэффициентами (начало). Уравнение Эйлера. ссылка: https://zoom.us/rec/share/84tC8-fNM_-LZHbCpOvM2tzNaERo7xt8i7A04Ry5sF1XkmIdlBlFOQ3OrcBp01Qb.7uDAXE8FXyCMA3ol (Passcode: +6e&amp;amp;6hY#)&lt;br /&gt;
&lt;br /&gt;
Лекция 7. Решение систем, используя жорданову нормальную форму. ссылка: https://zoom.us/rec/share/8UpLS_OpWt1JJ3byBLmZeE6Qefes82ZMd6ifjRFZs7fl_sMvYuAr55uliUoQ76Em.V9GJYxrz0ZrTBL4F (Passcode: Fg08Z6e%)&lt;br /&gt;
&lt;br /&gt;
Лекция 8. Решение неоднородных систем и преобразование Лапласа (начало): ссылка https://zoom.us/rec/share/nPbXj4nj5qD8SnbYaR4JHQCnc4iIYVdXUp8J30d3zndJeVdMK0ou2jc02SY2TGYO.ZDtczcYF3VwYWcsO Passcode: rgz+H0?f&lt;br /&gt;
&lt;br /&gt;
Лекция 9. Завершение преобразования Лапласа. Системы с переменными коэффициентами. ссылка&lt;br /&gt;
&lt;br /&gt;
https://zoom.us/rec/share/OE8NNaEsjvYl2--7l4nubQzyqBSwamPXL0GwPAWvx3VGu5eK3aiY6-iv6tNv6wMA.avbiqdAqFhElEcb9 Passcode: *e2JG^y3&lt;br /&gt;
&lt;br /&gt;
Вместо лекции посмотрите полный и детальный разбор контрольной прошлого года .&lt;br /&gt;
ссылка: https://zoom.us/rec/share/scMuYxg4PQs0CaZzj9dW2fAq86B10NwFpaYySesQC9zsa6fWELsdesD3k9hlJKe2.oszMcbjoT1BzO-mf Passcode: +XX.BL59&lt;br /&gt;
&lt;br /&gt;
Консультация: [https://youtu.be/K9eKHS1f1Jo Youtube]&lt;br /&gt;
&lt;br /&gt;
Лекция 10. Матричная экспонента и линейные системы.&lt;br /&gt;
ссылка: https://zoom.us/rec/share/fCH6mzTwpSfx9Y5e4pTnYy1h-F4QbZEmbPRZzP6meFkuoJ1RJ52ssNUaHT4qCPht.JmLH3QnTUGLvmVQP Passcode: %dZ+Vm8n&lt;br /&gt;
&lt;br /&gt;
Лекция 11. Формула Лиувилля. &lt;br /&gt;
ссылка: https://us06web.zoom.us/rec/share/YrUT-ZhAnAR_xqrd1FsayfyffdWN6MxDVvCVmjG2Rr3GDh6RqHsC2vF7kR0l-0LM.M7_3GNEjSjAmfdBp Passcode: tz^@4yt&amp;amp;&lt;br /&gt;
&lt;br /&gt;
Лекция 12. Теорема Штурма&lt;br /&gt;
&lt;br /&gt;
ссылка: https://us06web.zoom.us/rec/share/RtYOL8RFjvJiNxUlFxEZa2opK9XMWtwIRYxaq8cwYyecMMn5pPJM1LfUzqQALPw.PqGbAq3SynMrbXU_ Passcode: 8g#y$Wzq&lt;br /&gt;
&lt;br /&gt;
Лекция 13. Классификация положений равновесия линейной системы второго порядка.&lt;br /&gt;
Ссылка: https://us06web.zoom.us/rec/share/CL2akNYQWM0TwzH2lH38e-hS4mRS4xbbEVY5qxCWDDQclgZ25oaIPd8gfQaFSNjn.VblybMATkI9Vn6_Y&lt;br /&gt;
Passcode: gqv5#N$p&lt;br /&gt;
&lt;br /&gt;
Лекция 14. Функция Ляпунова.&lt;br /&gt;
&lt;br /&gt;
https://us06web.zoom.us/rec/share/B0xbV5rUaPP-LmFjgtFb5vnNYvsi4VARjenWqYF2cH6R51hgz_w5vW394T1Wrtk.uZ1FdGInNtWJAx7b&lt;br /&gt;
Passcode: V?2FmCfy&lt;br /&gt;
&lt;br /&gt;
Лекция 15. Первые интегралы автономных систем.&lt;br /&gt;
ссылка: https://us06web.zoom.us/rec/share/iv0D3OFk5421RushbUUEybo4iKUcZfFvOrmFKFPVX30knGyvc4VLjqcBaRCZ2zL5.swZyLwFwHKQAQyw0&lt;br /&gt;
Passcode: V$=Hv.A6&lt;br /&gt;
&lt;br /&gt;
Лекция 16. Уравнения в частных производных первого порядка&lt;br /&gt;
ссылка: https://us06web.zoom.us/rec/share/mwxGzO0nQeJXsnPjhY3lX9ZErM782OLUtlAPJ7mI5DnqD0XCZwjGCEehjAo-VBdY.Zxs67Lj6_pRIpeed&lt;br /&gt;
Passcode: 6*q3WbTt&lt;br /&gt;
&lt;br /&gt;
Лекция 17. Линейные разностные уравнения произвольного порядка. ссылка: https://us06web.zoom.us/rec/share/DWIe-YwcuTxDVRHH-G78QfSG507dDg1OvfsVFWMAWw8hlkYWWG8KVDPuGQ1cFBx3.u526lGNoWoPNhzuD&lt;br /&gt;
Passcode: zp*F7f.?&lt;br /&gt;
&lt;br /&gt;
Лекция 18. Системы разностных уравнений. ссылка: https://us06web.zoom.us/rec/share/-CdHlMdNv6oUoCUQchtZl1PbjAXBrRyjrk2qFqQ9eaFmtlMX3H9LzWZTxHBlr_Cu.MYbfwVwPK6Ruy-3e&lt;br /&gt;
Passcode: 4d4rb@af&lt;br /&gt;
&lt;br /&gt;
== Семинары ==&lt;br /&gt;
&lt;br /&gt;
Папка слайдов с семинаров А. Запрягаева (группа 3):&lt;br /&gt;
&lt;br /&gt;
https://drive.google.com/drive/folders/1G2gqzToHoc2cTE1wHBzxFM-rsgaq-71_?usp=sharing&lt;br /&gt;
&lt;br /&gt;
Плейлист с семинарами А.А.Оноприенко 2021 года:&lt;br /&gt;
https://www.youtube.com/playlist?list=PLjrwHlbwrMF9xQvUH24R_cLLSOGfM-wxn&lt;br /&gt;
&lt;br /&gt;
== Домашние задания ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Таблицы преобразований Лапласа:&#039;&#039;&#039; [https://drive.google.com/file/d/13bNtM42ovHhMIkwf1ELE6F53GO2nRi2V/view?usp=sharing Таблица 1] [https://drive.google.com/file/d/13hVVeRqmoE_2na6YTKTVjCxX56y3ncW3/view?usp=sharing Таблица 2]&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgmmZfM-qW3ZPO5mA?e=21g6Ii Домашняя работа 1 по ДУ]. Дедлайн: &#039;&#039;пн, 7 февраля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgm3qyaNwrCqGrs-T Домашняя работа 2 по ДУ]. Дедлайн:&#039;&#039;пн, 21 февраля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgm-5MTdaeIiDPs_G Домашняя работа 3 по ДУ]. Дедлайн: &#039;&#039;пн, 7 марта, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/de-G_YiYx4Dk4A Домашняя работа 4 по ДУ]. Дедлайн: &#039;&#039;вт, 22 марта, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/mT77AbmueN8Flg Домашняя работа 5 по ДУ]. Дедлайн: &#039;&#039;чт, 21 апреля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/ylyS6t7NepMY5Q Домашняя работа 6 по ДУ]. Старый Дедлайн: &#039;&#039;чт, 26 мая, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039; Внимание! Дедлайн перенесен на 29 мая, воскресенье, 21.00 МСК&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/ZHGHWTQm4SQWWA Домашняя работа 7 по ДУ]. Дедлайн: &#039;&#039;вс, 12 июня, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
=== Формат сдачи домашних заданий ===&lt;br /&gt;
&lt;br /&gt;
Группа 1: https://classroom.google.com/c/NDU4MTcxNDk3MDMy?cjc=i6cixl3&lt;br /&gt;
&lt;br /&gt;
Группа 2: https://classroom.google.com/c/NDQ4NTYzNTAyMjM0?cjc=ygkbbgf&lt;br /&gt;
&lt;br /&gt;
Группа 3: https://classroom.google.com/c/NDQ4NDM1ODM0NDY2?cjc=dwfjnl7&lt;br /&gt;
&lt;br /&gt;
Группа 4: https://classroom.google.com/c/NDQ4NTQ0NjA0MDQ1?cjc=3eftxq7&lt;br /&gt;
&lt;br /&gt;
Группа 5: https://classroom.google.com/c/NDQ4NTQ0NTgyNDE3?cjc=ncdha5f&lt;br /&gt;
&lt;br /&gt;
== Порядок формирования итоговой оценки ==&lt;br /&gt;
&lt;br /&gt;
=== Домашние задания ===&lt;br /&gt;
&lt;br /&gt;
Домашние задания выдаются каждые 2 недели. Для каждого пункта в домашнем задании указано, сколько баллов получает студент при его полностью корректном выполнении. Итоговая оценка за работу вычисляется как сумма набранных баллов или по правилам, прописанным в тексте работы, при их наличии. За задания могут выставляться частичные баллы в соответствие с долей выполненного задания, если критерии сформулированы в тексте задания. Возможности пересдачи нет.&lt;br /&gt;
&lt;br /&gt;
=== Контрольная работа===&lt;br /&gt;
&lt;br /&gt;
Контрольная работа проводится в конце третьего модуля. Длительность - 80 минут. Для каждого вопроса указано, сколько баллов получает студент при полностью корректном ответе. Итоговая оценка за работу вычисляется как сумма набранных баллов. За ответ может выставляться частичное количество баллов в соответствии с долей правильно изложенного материала. Возможность написать позже при уважительном пропуске есть. Оценка переводится в 10-балльную шкалу по опубликованной таблице.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Оценка формируется по формуле max(оценка за контрольную, среднее значение оценок за первые три домашки)&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/file/d/1rgM907hT1Z1jafLWJ-j3Yvmt62-BBRR5/view?usp=sharing Нулевой вариант контрольной работы.]&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/kMgUwIAUq4ffoA Контрольная 2021.]&lt;br /&gt;
&lt;br /&gt;
Контрольная 2022: [https://github.com/bdemeshev/pmi_de_spring_2022/raw/main/midterm/de_mid_a.pdf вар. А], [https://github.com/bdemeshev/pmi_de_spring_2022/raw/main/midterm/de_mid_b.pdf вар. Б].&lt;br /&gt;
&lt;br /&gt;
=== Экзамен === &lt;br /&gt;
&lt;br /&gt;
Экзамен проводится в конце четвертого модуля. Длительность - 120 минут. Для каждого вопроса указано, сколько баллов получает студент при полностью корректном ответе. Итоговая оценка за работу вычисляется как сумма набранных баллов. За ответ может выставляться частичное количество баллов в соответствии с долей правильно изложенного материала. Пересдача запланирована на сентябрь-октябрь будущего учебного года. Экзамен письменный.&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/file/d/1etqw_LvaONqaplV9pSrv1Op7IftzEJPQ/view?usp=sharing &#039;&#039;&#039;Пробный вариант экзамена&#039;&#039;&#039;]&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/g8D6SS1NpyAVuw &#039;&#039;&#039;Вариант прошлого года&#039;&#039;&#039;]&lt;br /&gt;
&lt;br /&gt;
=== Итоговая формула ===&lt;br /&gt;
&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/1_9ZTxC2X_-7jy8aRq7vNswlannv4rvh8iJmEo0bisP4/edit?usp=sharing Ссылка на таблицу с результатами]&lt;br /&gt;
&lt;br /&gt;
Итоговая оценка (по стобалльной шкале) вычисляется по формуле 0.4*ЭКЗ + 0.3*ДЗ + 0.3*(оценка за третий модуль)&lt;br /&gt;
&lt;br /&gt;
ЭКЗ - оценка за экзамен.&lt;br /&gt;
&lt;br /&gt;
ДЗ - оценка за домашние задания.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Перевод из стобалльной шкалы в десятибалльную происходит в конце учебного года в соответствии со следующей таблицей:&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| 0-19,99 || 1&lt;br /&gt;
|-&lt;br /&gt;
| 20-29,99 || 2&lt;br /&gt;
|-&lt;br /&gt;
| 30-39,99 || 3&lt;br /&gt;
|-&lt;br /&gt;
| 40-46,99 || 4&lt;br /&gt;
|-&lt;br /&gt;
| 47-53,99 || 5&lt;br /&gt;
|-&lt;br /&gt;
| 54-61,99 || 6&lt;br /&gt;
|-&lt;br /&gt;
| 62-69,99 || 7&lt;br /&gt;
|-&lt;br /&gt;
| 70-77,99 || 8&lt;br /&gt;
|-&lt;br /&gt;
| 78-85,99 || 9&lt;br /&gt;
|-&lt;br /&gt;
| 86-100 || 10&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая основная литература ==&lt;br /&gt;
&lt;br /&gt;
* Романко В.К. - Курс дифференциальных уравнений и вариационного исчисления. Москва: Лаборатория базовых знаний, 2001.&lt;br /&gt;
* [https://e.lanbook.com/book/56392%20 Арнольд В.И. - Обыкновенные дифференциальные уравнения - Московский центр непрерывного математического образования - 2012 - 341с. - ISBN: 978-5-4439-2007-8 - Текст электронный // ЭБС ЛАНЬ]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A little bit more :)&lt;br /&gt;
&lt;br /&gt;
* [https://www.math.hkust.edu.hk/~machas/differential-equations.pdf Jeffrey R. Chasnov, Differential Equations]&lt;br /&gt;
* [https://www.math.toronto.edu/selick/B44.pdf Toronto University DE course]&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая дополнительная литература ==&lt;br /&gt;
* [https://new.znanium.com/catalog/product/1028709 Высшая математика для экономистов: учебник для студентов вузов, обучающихся по экономическим специальностям / Н.Ш. Кремер (и др.) ; под ред. проф. Н.Ш. Кремера. - 3-е изд. - М. : ЮНИТИ-ДАНА, 2017. - 479 с. — (Серия «Золотой фонд российских учебников») - ISBN 978-5-238-00991-9.]&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70570</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70570"/>
		<updated>2022-06-07T10:17:30Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 25.04.2022&#039;&#039;&#039; Systems of difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/GhYf_igqN3mTrieM_C9SR5QnjihkozRt2lJiiWSVOGQuu6V0Xb5YJnx3qTWtA2w.sLxyofjeV2jRR7Am Passcode: !@fz=Yt1], [https://youtu.be/3sR8sgsyfGw Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 30.05.2022&#039;&#039;&#039; Autonomous systems and types of equilibria.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/e9BKimG158ZBxoEEM9rQ8GAHbKoytvSu3QMR_Y63VRpIs5iRcYwWZlfnyZ1f_-Ah.GySDV-9DZzQ7qt7N Passcode: 1r$m3Yc3], [https://youtu.be/W6okCpU8Xbw Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 01.06.2022&#039;&#039;&#039; Equilibria of nonlinear systems.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/I9F1dl6y8i-n8j5AftIKsbSrjROoXos0v0gglaFUtNZ55rhQjV8YxIUPZJS6-1qa.OYcy4xXG2n_BdjaX Passcode: PG=5%NB$]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 06.06.2022&#039;&#039;&#039; Liapounov&#039;s function.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/WYroPm0n88bzwGnXI1C3Wy-mE4OfVFPljv5w9UfJLEXkbdRxCsMYRW1jFbXHHET5.hbuKkOT-KDRFWWGk Passcode: #!1Yx^11] [https://youtu.be/iKdT7ACv9ZE Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039; ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Last year exam&#039;&#039;: [https://disk.yandex.ru/i/UCRJUw-KNVHicg]&lt;br /&gt;
&lt;br /&gt;
==== Final exam is set on Monday June 20 at 9.30 and it will last till 11.30 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/UbRyGmal5FvwcQ Home assignment 6], due on &amp;quot;June 12th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70569</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70569"/>
		<updated>2022-06-07T10:17:13Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 25.04.2022&#039;&#039;&#039; Systems of difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/GhYf_igqN3mTrieM_C9SR5QnjihkozRt2lJiiWSVOGQuu6V0Xb5YJnx3qTWtA2w.sLxyofjeV2jRR7Am Passcode: !@fz=Yt1], [https://youtu.be/3sR8sgsyfGw Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 30.05.2022&#039;&#039;&#039; Autonomous systems and types of equilibria.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/e9BKimG158ZBxoEEM9rQ8GAHbKoytvSu3QMR_Y63VRpIs5iRcYwWZlfnyZ1f_-Ah.GySDV-9DZzQ7qt7N Passcode: 1r$m3Yc3], [https://youtu.be/W6okCpU8Xbw Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 01.06.2022&#039;&#039;&#039; Equilibria of nonlinear systems.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/I9F1dl6y8i-n8j5AftIKsbSrjROoXos0v0gglaFUtNZ55rhQjV8YxIUPZJS6-1qa.OYcy4xXG2n_BdjaX Passcode: PG=5%NB$]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 06.06.2022&#039;&#039;&#039; Liapounov&#039;s function.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/WYroPm0n88bzwGnXI1C3Wy-mE4OfVFPljv5w9UfJLEXkbdRxCsMYRW1jFbXHHET5.hbuKkOT-KDRFWWGk Passcode: #!1Yx^11] [https://youtu.be/iKdT7ACv9ZE Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039; ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
&#039;&#039;Last year exam&#039;&#039;: [https://disk.yandex.ru/i/UCRJUw-KNVHicg]&lt;br /&gt;
==== Final exam is set on Monday June 20 at 9.30 and it will last till 11.30 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/UbRyGmal5FvwcQ Home assignment 6], due on &amp;quot;June 12th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70527</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70527"/>
		<updated>2022-06-06T13:46:32Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 25.04.2022&#039;&#039;&#039; Systems of difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/GhYf_igqN3mTrieM_C9SR5QnjihkozRt2lJiiWSVOGQuu6V0Xb5YJnx3qTWtA2w.sLxyofjeV2jRR7Am Passcode: !@fz=Yt1], [https://youtu.be/3sR8sgsyfGw Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 30.05.2022&#039;&#039;&#039; Autonomous systems and types of equilibria.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/e9BKimG158ZBxoEEM9rQ8GAHbKoytvSu3QMR_Y63VRpIs5iRcYwWZlfnyZ1f_-Ah.GySDV-9DZzQ7qt7N Passcode: 1r$m3Yc3], [https://youtu.be/W6okCpU8Xbw Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 01.06.2022&#039;&#039;&#039; Equilibria of nonlinear systems.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/I9F1dl6y8i-n8j5AftIKsbSrjROoXos0v0gglaFUtNZ55rhQjV8YxIUPZJS6-1qa.OYcy4xXG2n_BdjaX Passcode: PG=5%NB$]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 06.06.2022&#039;&#039;&#039; Liapounov&#039;s function.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/WYroPm0n88bzwGnXI1C3Wy-mE4OfVFPljv5w9UfJLEXkbdRxCsMYRW1jFbXHHET5.hbuKkOT-KDRFWWGk Passcode: #!1Yx^11]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039; ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/UbRyGmal5FvwcQ Home assignment 6], due on &amp;quot;June 12th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70338</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70338"/>
		<updated>2022-06-01T18:08:01Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 25.04.2022&#039;&#039;&#039; Systems of difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/GhYf_igqN3mTrieM_C9SR5QnjihkozRt2lJiiWSVOGQuu6V0Xb5YJnx3qTWtA2w.sLxyofjeV2jRR7Am Passcode: !@fz=Yt1], [https://youtu.be/3sR8sgsyfGw Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 30.05.2022&#039;&#039;&#039; Autonomous systems and types of equilibria.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/e9BKimG158ZBxoEEM9rQ8GAHbKoytvSu3QMR_Y63VRpIs5iRcYwWZlfnyZ1f_-Ah.GySDV-9DZzQ7qt7N Passcode: 1r$m3Yc3], [https://youtu.be/W6okCpU8Xbw Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 01.06.2022&#039;&#039;&#039; Equilibria of nonlinear systems.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/I9F1dl6y8i-n8j5AftIKsbSrjROoXos0v0gglaFUtNZ55rhQjV8YxIUPZJS6-1qa.OYcy4xXG2n_BdjaX Passcode: PG=5%NB$]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039; ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/UbRyGmal5FvwcQ Home assignment 6], due on &amp;quot;June 12th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70337</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70337"/>
		<updated>2022-06-01T18:07:37Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 25.04.2022&#039;&#039;&#039; Systems of difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/GhYf_igqN3mTrieM_C9SR5QnjihkozRt2lJiiWSVOGQuu6V0Xb5YJnx3qTWtA2w.sLxyofjeV2jRR7Am Passcode: !@fz=Yt1], [https://youtu.be/3sR8sgsyfGw Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 30.05.2022&#039;&#039;&#039; Autonomous systems and types of equilibria.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/e9BKimG158ZBxoEEM9rQ8GAHbKoytvSu3QMR_Y63VRpIs5iRcYwWZlfnyZ1f_-Ah.GySDV-9DZzQ7qt7N Passcode: 1r$m3Yc3], [https://youtu.be/W6okCpU8Xbw Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 01.06.2022&#039;&#039;&#039; Equilibria of nonlinear systems.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/I9F1dl6y8i-n8j5AftIKsbSrjROoXos0v0gglaFUtNZ55rhQjV8YxIUPZJS6-1qa.OYcy4xXG2n_BdjaX Passcode: PG=5%NB$]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/UbRyGmal5FvwcQ Home assignment 6], due on &amp;quot;June 12th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70219</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70219"/>
		<updated>2022-05-30T15:08:30Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 25.04.2022&#039;&#039;&#039; Systems of difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/GhYf_igqN3mTrieM_C9SR5QnjihkozRt2lJiiWSVOGQuu6V0Xb5YJnx3qTWtA2w.sLxyofjeV2jRR7Am Passcode: !@fz=Yt1], [https://youtu.be/3sR8sgsyfGw Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 30.09.2022&#039;&#039;&#039; Autonomous systems and types of equilibria.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/e9BKimG158ZBxoEEM9rQ8GAHbKoytvSu3QMR_Y63VRpIs5iRcYwWZlfnyZ1f_-Ah.GySDV-9DZzQ7qt7N Passcode: 1r$m3Yc3]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/UbRyGmal5FvwcQ Home assignment 6], due on &amp;quot;June 12th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F_(%D0%9F%D0%9C%D0%98)_2022/23&amp;diff=70202</id>
		<title>Дифференциальные уравнения (ПМИ) 2022/23</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F_(%D0%9F%D0%9C%D0%98)_2022/23&amp;diff=70202"/>
		<updated>2022-05-30T09:55:32Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Объявления ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Внимание, это важно!&lt;br /&gt;
Начало контрольной в оффлайне и онлайне в 13:00. Она длится 80 минут. Просьба прийти на 15 минут раньше и войти в зум (кто в онлайне) тоже в 12:45.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
В аудитории R401 пишут группы 1,2,3. А группы 4 и 5 пишут в R404.&lt;br /&gt;
&lt;br /&gt;
Вход в зум по лекционной ссылке. Она такая: https://us06web.zoom.us/j/96572307700?pwd=dm50Wmk4ZnYvSWVKeFkwOGNZdWcrdz09 пароль на вход (если потребуется) 668114.&lt;br /&gt;
&lt;br /&gt;
Работы в онлайне будут загружаться в гугл-форму или, если не получится, то на почту лектора kbukin@hse.ru . Списки пишущих в онлайне предоставлены учебным офисом. Требования к пишущим в онлайне обычные, важно иметь с собою студбилет или паспорт.&lt;br /&gt;
&lt;br /&gt;
Ссылка на форму для загрузки решений:&lt;br /&gt;
&lt;br /&gt;
https://docs.google.com/forms/d/e/1FAIpQLSef5LnehsMeGejuWhpvzU0B9KXloWuZspbfETu8sYk-GRrhgQ/viewform&lt;br /&gt;
&lt;br /&gt;
Контрольная будет проведена 1 апреля (без шуток). Она считается экзаменом за третий модуль. Таков регламент учебного процесса. Важно к ней хорошо подготовиться, чтобы написать на положительную оценку. В нее войдут темы первых трех домашек курса, а также системы линейных уравнений с постоянными коэффициентами. Демо версия контрольной размещена ниже.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Оценка за третий модуль вычисляется по формуле: max(оценка за контрольную, среднее из оценок за первые три домашки).&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;Это означает, что при высоких баллах за домашки контрольная может быть пропущена.&#039;&#039; &#039;&#039;&#039;Формула итоговой оценки тогда рассчитывается как: 0,4*Экзамен+0,3*оценка за третий модуль+0,3*оценка за домашки.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Следите за объявлениями учебного офиса и расписанием.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== О курсе ==&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Разработчики:&#039;&#039;&#039;	Букин Кирилл Александрович - лектор. &lt;br /&gt;
* &#039;&#039;&#039;Число кредитов:&#039;&#039;&#039;	5&lt;br /&gt;
* &#039;&#039;&#039;Контактная работа (час.):&#039;&#039;&#039;	80 (лекции: 40; семинары: 40)&lt;br /&gt;
* &#039;&#039;&#039;Самостоятельная работа (час.):&#039;&#039;&#039;	110&lt;br /&gt;
* &#039;&#039;&#039;Образовательная программа:&#039;&#039;&#039;	Прикладная математика и информатика (2 курс)&lt;br /&gt;
* &#039;&#039;&#039;Язык преподавания:&#039;&#039;&#039;	Русский&lt;br /&gt;
* &#039;&#039;&#039;Формат изучения:&#039;&#039;&#039;	без онлайн-курса&lt;br /&gt;
* &#039;&#039;&#039;Формат промежуточного контроля:&#039;&#039;&#039; Контрольная работа (80 минут)=приравнивается экзамену за третий модуль&lt;br /&gt;
* &#039;&#039;&#039;Формат экзамена:&#039;&#039;&#039;	Очный (оффлайн) (120 минут)&lt;br /&gt;
&lt;br /&gt;
== Презентация курса ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:1000px; overflow: hidden;&amp;quot;&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
=== Цель освоения дисциплины ===&lt;br /&gt;
* Обучить студентов методам решения и исследования качественного поведения решений дифференциальных уравнений, составляющих основу математических моделей различных теоретических и практических инженерно-экономических задач&lt;br /&gt;
* Выработать навыки математического исследования прикладных вопросов и умения перевести инженерно-экономическую задачу на математический язык&lt;br /&gt;
* Повысить общий уровень математической культуры&lt;br /&gt;
* Научить самостоятельно изучать учебную и научную литературу по дифференциальным уравнениям&lt;br /&gt;
&lt;br /&gt;
=== Планируемые результаты обучения ===&lt;br /&gt;
* Владеть навыками анализа естественнонаучных задач с помощью дифференциальных уравнений&lt;br /&gt;
* Владеть навыками численного решения дифференциальных уравнений&lt;br /&gt;
* Знать доказательства основных теорем теории дифференциальных уравнений&lt;br /&gt;
* Знать определения основных понятий теории дифференциальных уравнений&lt;br /&gt;
* Знать примеры приложения теории дифференциальных уравнений к экономическим и естественнонаучным задачам&lt;br /&gt;
* Уметь исследовать качественные свойства дифференциальных уравнений&lt;br /&gt;
* Уметь решать основные типы дифференциальных уравнений&lt;br /&gt;
* Уметь строить фазовые портреты дифференциальных уравнений&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Преподаватели ===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Лектор:&#039;&#039;&#039; [https://www.hse.ru/org/persons/65522 Букин Кирилл Александрович]&lt;br /&gt;
&lt;br /&gt;
Группа в ТГ: https://t.me/+FbsGTlXKzyRiYTEy&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группы и семинаристы:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 1&#039;&#039;&#039;: [https://t.me/+eIKkI88IKOYxMjQy чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/staff/ansidiana Оноприенко Анастасия Александровна]&lt;br /&gt;
&lt;br /&gt;
Электронная почта ansidiana@yandex.ru. Телеграм: [https://t.me/ansidiana @ansidiana]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Григорьева Анастасия [https://t.me/weifoll Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 2&#039;&#039;&#039;: [https://t.me/+BxkTBfmQqr04MDAy чат в ТГ] &lt;br /&gt;
&lt;br /&gt;
Семинарист: Оноприенко Анастасия Александровна&lt;br /&gt;
&lt;br /&gt;
Электронная почта ansidiana@yandex.ru. Телеграм: [https://t.me/ansidiana @ansidiana]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Северенкова Анастасия [https://t.me/oleander_twig Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 3&#039;&#039;&#039;: [https://t.me/+IJ6i8XLB0Kc1ZTcy чат в ТГ] &lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/org/persons/218355200 Запрягаев Александр Александрович]&lt;br /&gt;
&lt;br /&gt;
Электронная почта azapryagaev@hse.ru. Телеграм (там ответы быстрее): [https://t.me/azapryagaev @azapryagaev]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Лисицына Анна [https://t.me/ammiya Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 4&#039;&#039;&#039;: [https://t.me/+sNRPdjLjHC8wY2Ni чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
[https://github.com/bdemeshev/pmi_de_spring_2022 Репка с конспектами.]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/staff/bbd Демешев Борис Борисович]&lt;br /&gt;
&lt;br /&gt;
Электронная почта boris.demeshev@gmail.com. Телеграм: [https://t.me/boris_demeshev @boris_demeshev]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Сизова Валерия [https://t.me/valerias_13 Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 5&#039;&#039;&#039;: [https://t.me/+8b5XMygTkEQ4ZTMy чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/org/persons/305969388 Лимонченко Иван Юрьевич]&lt;br /&gt;
&lt;br /&gt;
Электронная почта ilimonchenko@hse.ru. Телеграм: [https://t.me/ilimonchenko @ilimonchenko]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Козлов Алексей [https://t.me/futbol44k Телеграм]&lt;br /&gt;
&lt;br /&gt;
== Лекции ==&lt;br /&gt;
&amp;lt;big&amp;gt;Плейлист с записями &#039;&#039;&#039;лекций и семинаров группы 3&#039;&#039;&#039; на ютуб [https://youtube.com/playlist?list=PLEwK9wdS5g0o5zaPvrlXTGCpnPtbMIyMs тут].&amp;lt;/big&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Лекция 1. ДУ первого порядка. Запись можно открыть по ссылке: https://zoom.us/rec/share/Xc3XHh_ozGHEYHUpYqPQCnTBEI4pnHwPMm0ptCdmg9eFQWKQ1vZ_IMCB1Y5DMpf4.gxlSRwqNwjTyZAJf Passcode: 0@x7G%J&amp;amp;&lt;br /&gt;
&lt;br /&gt;
Лекция 2. Фундаментальная теорема существования и единственности решения задачи Коши. Запись можно открыть по ссылке: https://zoom.us/rec/share/hn3UQJNlMicGh4lX0chFZ_m63tUVVCgwqQEEZH5R301tw-i_GCa9flhGNGKXvX2F.cOjR-KVWFdXU9gSv Passcode: R%fD4^!1&lt;br /&gt;
&lt;br /&gt;
Лекция 3. Понятие равновесия. Модель Солоу в макро. Линейные уравнения с постоянными коэффициентами. Ссылка: &lt;br /&gt;
https://zoom.us/rec/share/vYk9tJIGsmtrQ7a4MFuabiTDZe9LZ5j5I62dbFuko0DsShEVd-CjrMcucuy9Cxoi.InoKZFXUoqf6QgSe (Passcode: U$b.5rpT)&lt;br /&gt;
&lt;br /&gt;
Лекция 4. Рассказана теория с доказательствами по решению линейных диффуров. &lt;br /&gt;
ссылка:&lt;br /&gt;
https://zoom.us/rec/share/I1R2pOIfd3kpf4ScdkAxvpDmfjLnRV50zfiwvTxbnpYBruQ0LzoQPaPkCzoTHGgf.oWq80Gyky4ay_RBS (Passcode: f&amp;amp;?xsa7H)&lt;br /&gt;
&lt;br /&gt;
Лекция 5. Метод неопределенных коэффициентов решения неоднородных уравнений. ссылка: https://zoom.us/rec/share/mrCyCpNIJNjwT_cCfrCUxh0SyC2rK2j_2WrGV3JmYG5WSOFOwtinns7YvN14YhMQ.Brl3Qa1poqVqWqFY (Passcode: %DV%1B^s)&lt;br /&gt;
&lt;br /&gt;
Лекция 6. Решение линейных систем ДУ с постоянными коэффициентами (начало). Уравнение Эйлера. ссылка: https://zoom.us/rec/share/84tC8-fNM_-LZHbCpOvM2tzNaERo7xt8i7A04Ry5sF1XkmIdlBlFOQ3OrcBp01Qb.7uDAXE8FXyCMA3ol (Passcode: +6e&amp;amp;6hY#)&lt;br /&gt;
&lt;br /&gt;
Лекция 7. Решение систем, используя жорданову нормальную форму. ссылка: https://zoom.us/rec/share/8UpLS_OpWt1JJ3byBLmZeE6Qefes82ZMd6ifjRFZs7fl_sMvYuAr55uliUoQ76Em.V9GJYxrz0ZrTBL4F (Passcode: Fg08Z6e%)&lt;br /&gt;
&lt;br /&gt;
Лекция 8. Решение неоднородных систем и преобразование Лапласа (начало): ссылка https://zoom.us/rec/share/nPbXj4nj5qD8SnbYaR4JHQCnc4iIYVdXUp8J30d3zndJeVdMK0ou2jc02SY2TGYO.ZDtczcYF3VwYWcsO Passcode: rgz+H0?f&lt;br /&gt;
&lt;br /&gt;
Лекция 9. Завершение преобразования Лапласа. Системы с переменными коэффициентами. ссылка&lt;br /&gt;
&lt;br /&gt;
https://zoom.us/rec/share/OE8NNaEsjvYl2--7l4nubQzyqBSwamPXL0GwPAWvx3VGu5eK3aiY6-iv6tNv6wMA.avbiqdAqFhElEcb9 Passcode: *e2JG^y3&lt;br /&gt;
&lt;br /&gt;
Вместо лекции посмотрите полный и детальный разбор контрольной прошлого года .&lt;br /&gt;
ссылка: https://zoom.us/rec/share/scMuYxg4PQs0CaZzj9dW2fAq86B10NwFpaYySesQC9zsa6fWELsdesD3k9hlJKe2.oszMcbjoT1BzO-mf Passcode: +XX.BL59&lt;br /&gt;
&lt;br /&gt;
Консультация: [https://youtu.be/K9eKHS1f1Jo Youtube]&lt;br /&gt;
&lt;br /&gt;
Лекция 10. Матричная экспонента и линейные системы.&lt;br /&gt;
ссылка: https://zoom.us/rec/share/fCH6mzTwpSfx9Y5e4pTnYy1h-F4QbZEmbPRZzP6meFkuoJ1RJ52ssNUaHT4qCPht.JmLH3QnTUGLvmVQP Passcode: %dZ+Vm8n&lt;br /&gt;
&lt;br /&gt;
Лекция 11. Формула Лиувилля. &lt;br /&gt;
ссылка: https://us06web.zoom.us/rec/share/YrUT-ZhAnAR_xqrd1FsayfyffdWN6MxDVvCVmjG2Rr3GDh6RqHsC2vF7kR0l-0LM.M7_3GNEjSjAmfdBp Passcode: tz^@4yt&amp;amp;&lt;br /&gt;
&lt;br /&gt;
Лекция 12. Теорема Штурма&lt;br /&gt;
&lt;br /&gt;
ссылка: https://us06web.zoom.us/rec/share/RtYOL8RFjvJiNxUlFxEZa2opK9XMWtwIRYxaq8cwYyecMMn5pPJM1LfUzqQALPw.PqGbAq3SynMrbXU_ Passcode: 8g#y$Wzq&lt;br /&gt;
&lt;br /&gt;
Лекция 13. Классификация положений равновесия линейной системы второго порядка.&lt;br /&gt;
Ссылка: https://us06web.zoom.us/rec/share/CL2akNYQWM0TwzH2lH38e-hS4mRS4xbbEVY5qxCWDDQclgZ25oaIPd8gfQaFSNjn.VblybMATkI9Vn6_Y&lt;br /&gt;
Passcode: gqv5#N$p&lt;br /&gt;
&lt;br /&gt;
Лекция 14. Функция Ляпунова.&lt;br /&gt;
&lt;br /&gt;
https://us06web.zoom.us/rec/share/B0xbV5rUaPP-LmFjgtFb5vnNYvsi4VARjenWqYF2cH6R51hgz_w5vW394T1Wrtk.uZ1FdGInNtWJAx7b&lt;br /&gt;
Passcode: V?2FmCfy&lt;br /&gt;
&lt;br /&gt;
Лекция 15. Первые интегралы автономных систем.&lt;br /&gt;
ссылка: https://us06web.zoom.us/rec/share/iv0D3OFk5421RushbUUEybo4iKUcZfFvOrmFKFPVX30knGyvc4VLjqcBaRCZ2zL5.swZyLwFwHKQAQyw0&lt;br /&gt;
Passcode: V$=Hv.A6&lt;br /&gt;
&lt;br /&gt;
Лекция 16. Уравнения в частных производных первого порядка&lt;br /&gt;
ссылка: https://us06web.zoom.us/rec/share/mwxGzO0nQeJXsnPjhY3lX9ZErM782OLUtlAPJ7mI5DnqD0XCZwjGCEehjAo-VBdY.Zxs67Lj6_pRIpeed&lt;br /&gt;
Passcode: 6*q3WbTt&lt;br /&gt;
&lt;br /&gt;
Лекция 17. Линейные разностные уравнения произвольного порядка. ссылка: https://us06web.zoom.us/rec/share/DWIe-YwcuTxDVRHH-G78QfSG507dDg1OvfsVFWMAWw8hlkYWWG8KVDPuGQ1cFBx3.u526lGNoWoPNhzuD&lt;br /&gt;
Passcode: zp*F7f.?&lt;br /&gt;
&lt;br /&gt;
== Семинары ==&lt;br /&gt;
&lt;br /&gt;
Папка слайдов с семинаров А. Запрягаева (группа 3):&lt;br /&gt;
&lt;br /&gt;
https://drive.google.com/drive/folders/1G2gqzToHoc2cTE1wHBzxFM-rsgaq-71_?usp=sharing&lt;br /&gt;
&lt;br /&gt;
Плейлист с семинарами А.А.Оноприенко 2021 года:&lt;br /&gt;
https://www.youtube.com/playlist?list=PLjrwHlbwrMF9xQvUH24R_cLLSOGfM-wxn&lt;br /&gt;
&lt;br /&gt;
== Домашние задания ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Таблицы преобразований Лапласа:&#039;&#039;&#039; [https://drive.google.com/file/d/13bNtM42ovHhMIkwf1ELE6F53GO2nRi2V/view?usp=sharing Таблица 1] [https://drive.google.com/file/d/13hVVeRqmoE_2na6YTKTVjCxX56y3ncW3/view?usp=sharing Таблица 2]&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgmmZfM-qW3ZPO5mA?e=21g6Ii Домашняя работа 1 по ДУ]. Дедлайн: &#039;&#039;пн, 7 февраля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgm3qyaNwrCqGrs-T Домашняя работа 2 по ДУ]. Дедлайн:&#039;&#039;пн, 21 февраля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgm-5MTdaeIiDPs_G Домашняя работа 3 по ДУ]. Дедлайн: &#039;&#039;пн, 7 марта, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/de-G_YiYx4Dk4A Домашняя работа 4 по ДУ]. Дедлайн: &#039;&#039;вт, 22 марта, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/mT77AbmueN8Flg Домашняя работа 5 по ДУ]. Дедлайн: &#039;&#039;чт, 21 апреля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/ylyS6t7NepMY5Q Домашняя работа 6 по ДУ]. Старый Дедлайн: &#039;&#039;чт, 26 мая, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039; Внимание! Дедлайн перенесен на 29 мая, воскресенье, 21.00 МСК&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/ZHGHWTQm4SQWWA Домашняя работа 7 по ДУ]. Дедлайн: &#039;&#039;вс, 12 июня, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
=== Формат сдачи домашних заданий ===&lt;br /&gt;
&lt;br /&gt;
Группа 1: https://classroom.google.com/c/NDU4MTcxNDk3MDMy?cjc=i6cixl3&lt;br /&gt;
&lt;br /&gt;
Группа 2: https://classroom.google.com/c/NDQ4NTYzNTAyMjM0?cjc=ygkbbgf&lt;br /&gt;
&lt;br /&gt;
Группа 3: https://classroom.google.com/c/NDQ4NDM1ODM0NDY2?cjc=dwfjnl7&lt;br /&gt;
&lt;br /&gt;
Группа 4: https://classroom.google.com/c/NDQ4NTQ0NjA0MDQ1?cjc=3eftxq7&lt;br /&gt;
&lt;br /&gt;
Группа 5: https://classroom.google.com/c/NDQ4NTQ0NTgyNDE3?cjc=ncdha5f&lt;br /&gt;
&lt;br /&gt;
== Порядок формирования итоговой оценки ==&lt;br /&gt;
&lt;br /&gt;
=== Домашние задания ===&lt;br /&gt;
&lt;br /&gt;
Домашние задания выдаются каждые 2 недели. Для каждого пункта в домашнем задании указано, сколько баллов получает студент при его полностью корректном выполнении. Итоговая оценка за работу вычисляется как сумма набранных баллов или по правилам, прописанным в тексте работы, при их наличии. За задания могут выставляться частичные баллы в соответствие с долей выполненного задания, если критерии сформулированы в тексте задания. Возможности пересдачи нет.&lt;br /&gt;
&lt;br /&gt;
=== Контрольная работа===&lt;br /&gt;
&lt;br /&gt;
Контрольная работа проводится в конце третьего модуля. Длительность - 80 минут. Для каждого вопроса указано, сколько баллов получает студент при полностью корректном ответе. Итоговая оценка за работу вычисляется как сумма набранных баллов. За ответ может выставляться частичное количество баллов в соответствии с долей правильно изложенного материала. Возможность написать позже при уважительном пропуске есть. Оценка переводится в 10-балльную шкалу по опубликованной таблице.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Оценка формируется по формуле max(оценка за контрольную, среднее значение оценок за первые три домашки)&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/file/d/1rgM907hT1Z1jafLWJ-j3Yvmt62-BBRR5/view?usp=sharing Нулевой вариант контрольной работы.]&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/kMgUwIAUq4ffoA Контрольная 2021.]&lt;br /&gt;
&lt;br /&gt;
Контрольная 2022: [https://github.com/bdemeshev/pmi_de_spring_2022/raw/main/midterm/de_mid_a.pdf вар. А], [https://github.com/bdemeshev/pmi_de_spring_2022/raw/main/midterm/de_mid_b.pdf вар. Б].&lt;br /&gt;
&lt;br /&gt;
=== Экзамен === &lt;br /&gt;
&lt;br /&gt;
Экзамен проводится в конце четвертого модуля. Длительность - 120 минут. Для каждого вопроса указано, сколько баллов получает студент при полностью корректном ответе. Итоговая оценка за работу вычисляется как сумма набранных баллов. За ответ может выставляться частичное количество баллов в соответствии с долей правильно изложенного материала. Пересдача запланирована на сентябрь-октябрь будущего учебного года. Экзамен письменный.&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/file/d/1etqw_LvaONqaplV9pSrv1Op7IftzEJPQ/view?usp=sharing &#039;&#039;&#039;Пробный вариант экзамена&#039;&#039;&#039;]&lt;br /&gt;
&lt;br /&gt;
=== Итоговая формула ===&lt;br /&gt;
&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/1_9ZTxC2X_-7jy8aRq7vNswlannv4rvh8iJmEo0bisP4/edit?usp=sharing Ссылка на таблицу с результатами]&lt;br /&gt;
&lt;br /&gt;
Итоговая оценка (по стобалльной шкале) вычисляется по формуле 0.4*ЭКЗ + 0.3*ДЗ + 0.3*(оценка за третий модуль)&lt;br /&gt;
&lt;br /&gt;
ЭКЗ - оценка за экзамен.&lt;br /&gt;
&lt;br /&gt;
ДЗ - оценка за домашние задания.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Перевод из стобалльной шкалы в десятибалльную происходит в конце учебного года в соответствии со следующей таблицей:&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| 0-19,99 || 1&lt;br /&gt;
|-&lt;br /&gt;
| 20-29,99 || 2&lt;br /&gt;
|-&lt;br /&gt;
| 30-39,99 || 3&lt;br /&gt;
|-&lt;br /&gt;
| 40-46,99 || 4&lt;br /&gt;
|-&lt;br /&gt;
| 47-53,99 || 5&lt;br /&gt;
|-&lt;br /&gt;
| 54-61,99 || 6&lt;br /&gt;
|-&lt;br /&gt;
| 62-69,99 || 7&lt;br /&gt;
|-&lt;br /&gt;
| 70-77,99 || 8&lt;br /&gt;
|-&lt;br /&gt;
| 78-85,99 || 9&lt;br /&gt;
|-&lt;br /&gt;
| 86-100 || 10&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая основная литература ==&lt;br /&gt;
&lt;br /&gt;
* Романко В.К. - Курс дифференциальных уравнений и вариационного исчисления. Москва: Лаборатория базовых знаний, 2001.&lt;br /&gt;
* [https://e.lanbook.com/book/56392%20 Арнольд В.И. - Обыкновенные дифференциальные уравнения - Московский центр непрерывного математического образования - 2012 - 341с. - ISBN: 978-5-4439-2007-8 - Текст электронный // ЭБС ЛАНЬ]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A little bit more :)&lt;br /&gt;
&lt;br /&gt;
* [https://www.math.hkust.edu.hk/~machas/differential-equations.pdf Jeffrey R. Chasnov, Differential Equations]&lt;br /&gt;
* [https://www.math.toronto.edu/selick/B44.pdf Toronto University DE course]&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая дополнительная литература ==&lt;br /&gt;
* [https://new.znanium.com/catalog/product/1028709 Высшая математика для экономистов: учебник для студентов вузов, обучающихся по экономическим специальностям / Н.Ш. Кремер (и др.) ; под ред. проф. Н.Ш. Кремера. - 3-е изд. - М. : ЮНИТИ-ДАНА, 2017. - 479 с. — (Серия «Золотой фонд российских учебников») - ISBN 978-5-238-00991-9.]&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70173</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=70173"/>
		<updated>2022-05-29T21:23:38Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 25.04.2022&#039;&#039;&#039; Systems of difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/GhYf_igqN3mTrieM_C9SR5QnjihkozRt2lJiiWSVOGQuu6V0Xb5YJnx3qTWtA2w.sLxyofjeV2jRR7Am Passcode: !@fz=Yt1], [https://youtu.be/3sR8sgsyfGw Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/UbRyGmal5FvwcQ Home assignment 6], due on &amp;quot;June 12th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=69504</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=69504"/>
		<updated>2022-05-12T11:14:25Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 25.04.2022&#039;&#039;&#039; Systems of difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/GhYf_igqN3mTrieM_C9SR5QnjihkozRt2lJiiWSVOGQuu6V0Xb5YJnx3qTWtA2w.sLxyofjeV2jRR7Am Passcode: !@fz=Yt1], [https://youtu.be/3sR8sgsyfGw Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F_(%D0%9F%D0%9C%D0%98)_2022/23&amp;diff=69503</id>
		<title>Дифференциальные уравнения (ПМИ) 2022/23</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F_(%D0%9F%D0%9C%D0%98)_2022/23&amp;diff=69503"/>
		<updated>2022-05-12T11:13:43Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Объявления ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Внимание, это важно!&lt;br /&gt;
Начало контрольной в оффлайне и онлайне в 13:00. Она длится 80 минут. Просьба прийти на 15 минут раньше и войти в зум (кто в онлайне) тоже в 12:45.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
В аудитории R401 пишут группы 1,2,3. А группы 4 и 5 пишут в R404.&lt;br /&gt;
&lt;br /&gt;
Вход в зум по лекционной ссылке. Она такая: https://us06web.zoom.us/j/96572307700?pwd=dm50Wmk4ZnYvSWVKeFkwOGNZdWcrdz09 пароль на вход (если потребуется) 668114.&lt;br /&gt;
&lt;br /&gt;
Работы в онлайне будут загружаться в гугл-форму или, если не получится, то на почту лектора kbukin@hse.ru . Списки пишущих в онлайне предоставлены учебным офисом. Требования к пишущим в онлайне обычные, важно иметь с собою студбилет или паспорт.&lt;br /&gt;
&lt;br /&gt;
Ссылка на форму для загрузки решений:&lt;br /&gt;
&lt;br /&gt;
https://docs.google.com/forms/d/e/1FAIpQLSef5LnehsMeGejuWhpvzU0B9KXloWuZspbfETu8sYk-GRrhgQ/viewform&lt;br /&gt;
&lt;br /&gt;
Контрольная будет проведена 1 апреля (без шуток). Она считается экзаменом за третий модуль. Таков регламент учебного процесса. Важно к ней хорошо подготовиться, чтобы написать на положительную оценку. В нее войдут темы первых трех домашек курса, а также системы линейных уравнений с постоянными коэффициентами. Демо версия контрольной размещена ниже.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Оценка за третий модуль вычисляется по формуле: max(оценка за контрольную, среднее из оценок за первые три домашки).&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;Это означает, что при высоких баллах за домашки контрольная может быть пропущена.&#039;&#039; &#039;&#039;&#039;Формула итоговой оценки тогда рассчитывается как: 0,4*Экзамен+0,3*оценка за третий модуль+0,3*оценка за домашки.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Следите за объявлениями учебного офиса и расписанием.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== О курсе ==&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Разработчики:&#039;&#039;&#039;	Букин Кирилл Александрович - лектор. &lt;br /&gt;
* &#039;&#039;&#039;Число кредитов:&#039;&#039;&#039;	5&lt;br /&gt;
* &#039;&#039;&#039;Контактная работа (час.):&#039;&#039;&#039;	80 (лекции: 40; семинары: 40)&lt;br /&gt;
* &#039;&#039;&#039;Самостоятельная работа (час.):&#039;&#039;&#039;	110&lt;br /&gt;
* &#039;&#039;&#039;Образовательная программа:&#039;&#039;&#039;	Прикладная математика и информатика (2 курс)&lt;br /&gt;
* &#039;&#039;&#039;Язык преподавания:&#039;&#039;&#039;	Русский&lt;br /&gt;
* &#039;&#039;&#039;Формат изучения:&#039;&#039;&#039;	без онлайн-курса&lt;br /&gt;
* &#039;&#039;&#039;Формат промежуточного контроля:&#039;&#039;&#039; Контрольная работа (80 минут)=приравнивается экзамену за третий модуль&lt;br /&gt;
* &#039;&#039;&#039;Формат экзамена:&#039;&#039;&#039;	Очный (оффлайн) (120 минут)&lt;br /&gt;
&lt;br /&gt;
== Презентация курса ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:1000px; overflow: hidden;&amp;quot;&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
=== Цель освоения дисциплины ===&lt;br /&gt;
* Обучить студентов методам решения и исследования качественного поведения решений дифференциальных уравнений, составляющих основу математических моделей различных теоретических и практических инженерно-экономических задач&lt;br /&gt;
* Выработать навыки математического исследования прикладных вопросов и умения перевести инженерно-экономическую задачу на математический язык&lt;br /&gt;
* Повысить общий уровень математической культуры&lt;br /&gt;
* Научить самостоятельно изучать учебную и научную литературу по дифференциальным уравнениям&lt;br /&gt;
&lt;br /&gt;
=== Планируемые результаты обучения ===&lt;br /&gt;
* Владеть навыками анализа естественнонаучных задач с помощью дифференциальных уравнений&lt;br /&gt;
* Владеть навыками численного решения дифференциальных уравнений&lt;br /&gt;
* Знать доказательства основных теорем теории дифференциальных уравнений&lt;br /&gt;
* Знать определения основных понятий теории дифференциальных уравнений&lt;br /&gt;
* Знать примеры приложения теории дифференциальных уравнений к экономическим и естественнонаучным задачам&lt;br /&gt;
* Уметь исследовать качественные свойства дифференциальных уравнений&lt;br /&gt;
* Уметь решать основные типы дифференциальных уравнений&lt;br /&gt;
* Уметь строить фазовые портреты дифференциальных уравнений&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Преподаватели ===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Лектор:&#039;&#039;&#039; [https://www.hse.ru/org/persons/65522 Букин Кирилл Александрович]&lt;br /&gt;
&lt;br /&gt;
Группа в ТГ: https://t.me/+FbsGTlXKzyRiYTEy&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группы и семинаристы:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 1&#039;&#039;&#039;: [https://t.me/+eIKkI88IKOYxMjQy чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/staff/ansidiana Оноприенко Анастасия Александровна]&lt;br /&gt;
&lt;br /&gt;
Электронная почта ansidiana@yandex.ru. Телеграм: [https://t.me/ansidiana @ansidiana]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Григорьева Анастасия [https://t.me/weifoll Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 2&#039;&#039;&#039;: [https://t.me/+BxkTBfmQqr04MDAy чат в ТГ] &lt;br /&gt;
&lt;br /&gt;
Семинарист: Оноприенко Анастасия Александровна&lt;br /&gt;
&lt;br /&gt;
Электронная почта ansidiana@yandex.ru. Телеграм: [https://t.me/ansidiana @ansidiana]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Северенкова Анастасия [https://t.me/oleander_twig Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 3&#039;&#039;&#039;: [https://t.me/+IJ6i8XLB0Kc1ZTcy чат в ТГ] &lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/org/persons/218355200 Запрягаев Александр Александрович]&lt;br /&gt;
&lt;br /&gt;
Электронная почта azapryagaev@hse.ru. Телеграм (там ответы быстрее): [https://t.me/azapryagaev @azapryagaev]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Лисицына Анна [https://t.me/ammiya Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 4&#039;&#039;&#039;: [https://t.me/+sNRPdjLjHC8wY2Ni чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
[https://github.com/bdemeshev/pmi_de_spring_2022 Репка с конспектами.]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/staff/bbd Демешев Борис Борисович]&lt;br /&gt;
&lt;br /&gt;
Электронная почта boris.demeshev@gmail.com. Телеграм: [https://t.me/boris_demeshev @boris_demeshev]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Сизова Валерия [https://t.me/valerias_13 Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 5&#039;&#039;&#039;: [https://t.me/+8b5XMygTkEQ4ZTMy чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/org/persons/305969388 Лимонченко Иван Юрьевич]&lt;br /&gt;
&lt;br /&gt;
Электронная почта ilimonchenko@hse.ru. Телеграм: [https://t.me/ilimonchenko @ilimonchenko]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Козлов Алексей [https://t.me/futbol44k Телеграм]&lt;br /&gt;
&lt;br /&gt;
== Лекции ==&lt;br /&gt;
&amp;lt;big&amp;gt;Плейлист с записями &#039;&#039;&#039;лекций и семинаров группы 3&#039;&#039;&#039; на ютуб [https://youtube.com/playlist?list=PLEwK9wdS5g0o5zaPvrlXTGCpnPtbMIyMs тут].&amp;lt;/big&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Лекция 1. ДУ первого порядка. Запись можно открыть по ссылке: https://zoom.us/rec/share/Xc3XHh_ozGHEYHUpYqPQCnTBEI4pnHwPMm0ptCdmg9eFQWKQ1vZ_IMCB1Y5DMpf4.gxlSRwqNwjTyZAJf Passcode: 0@x7G%J&amp;amp;&lt;br /&gt;
&lt;br /&gt;
Лекция 2. Фундаментальная теорема существования и единственности решения задачи Коши. Запись можно открыть по ссылке: https://zoom.us/rec/share/hn3UQJNlMicGh4lX0chFZ_m63tUVVCgwqQEEZH5R301tw-i_GCa9flhGNGKXvX2F.cOjR-KVWFdXU9gSv Passcode: R%fD4^!1&lt;br /&gt;
&lt;br /&gt;
Лекция 3. Понятие равновесия. Модель Солоу в макро. Линейные уравнения с постоянными коэффициентами. Ссылка: &lt;br /&gt;
https://zoom.us/rec/share/vYk9tJIGsmtrQ7a4MFuabiTDZe9LZ5j5I62dbFuko0DsShEVd-CjrMcucuy9Cxoi.InoKZFXUoqf6QgSe (Passcode: U$b.5rpT)&lt;br /&gt;
&lt;br /&gt;
Лекция 4. Рассказана теория с доказательствами по решению линейных диффуров. &lt;br /&gt;
ссылка:&lt;br /&gt;
https://zoom.us/rec/share/I1R2pOIfd3kpf4ScdkAxvpDmfjLnRV50zfiwvTxbnpYBruQ0LzoQPaPkCzoTHGgf.oWq80Gyky4ay_RBS (Passcode: f&amp;amp;?xsa7H)&lt;br /&gt;
&lt;br /&gt;
Лекция 5. Метод неопределенных коэффициентов решения неоднородных уравнений. ссылка: https://zoom.us/rec/share/mrCyCpNIJNjwT_cCfrCUxh0SyC2rK2j_2WrGV3JmYG5WSOFOwtinns7YvN14YhMQ.Brl3Qa1poqVqWqFY (Passcode: %DV%1B^s)&lt;br /&gt;
&lt;br /&gt;
Лекция 6. Решение линейных систем ДУ с постоянными коэффициентами (начало). Уравнение Эйлера. ссылка: https://zoom.us/rec/share/84tC8-fNM_-LZHbCpOvM2tzNaERo7xt8i7A04Ry5sF1XkmIdlBlFOQ3OrcBp01Qb.7uDAXE8FXyCMA3ol (Passcode: +6e&amp;amp;6hY#)&lt;br /&gt;
&lt;br /&gt;
Лекция 7. Решение систем, используя жорданову нормальную форму. ссылка: https://zoom.us/rec/share/8UpLS_OpWt1JJ3byBLmZeE6Qefes82ZMd6ifjRFZs7fl_sMvYuAr55uliUoQ76Em.V9GJYxrz0ZrTBL4F (Passcode: Fg08Z6e%)&lt;br /&gt;
&lt;br /&gt;
Лекция 8. Решение неоднородных систем и преобразование Лапласа (начало): ссылка https://zoom.us/rec/share/nPbXj4nj5qD8SnbYaR4JHQCnc4iIYVdXUp8J30d3zndJeVdMK0ou2jc02SY2TGYO.ZDtczcYF3VwYWcsO Passcode: rgz+H0?f&lt;br /&gt;
&lt;br /&gt;
Лекция 9. Завершение преобразования Лапласа. Системы с переменными коэффициентами. ссылка&lt;br /&gt;
&lt;br /&gt;
https://zoom.us/rec/share/OE8NNaEsjvYl2--7l4nubQzyqBSwamPXL0GwPAWvx3VGu5eK3aiY6-iv6tNv6wMA.avbiqdAqFhElEcb9 Passcode: *e2JG^y3&lt;br /&gt;
&lt;br /&gt;
Вместо лекции посмотрите полный и детальный разбор контрольной прошлого года .&lt;br /&gt;
ссылка: https://zoom.us/rec/share/scMuYxg4PQs0CaZzj9dW2fAq86B10NwFpaYySesQC9zsa6fWELsdesD3k9hlJKe2.oszMcbjoT1BzO-mf Passcode: +XX.BL59&lt;br /&gt;
&lt;br /&gt;
Консультация: [https://youtu.be/K9eKHS1f1Jo Youtube]&lt;br /&gt;
&lt;br /&gt;
Лекция 10. Матричная экспонента и линейные системы.&lt;br /&gt;
ссылка: https://zoom.us/rec/share/fCH6mzTwpSfx9Y5e4pTnYy1h-F4QbZEmbPRZzP6meFkuoJ1RJ52ssNUaHT4qCPht.JmLH3QnTUGLvmVQP Passcode: %dZ+Vm8n&lt;br /&gt;
&lt;br /&gt;
Лекция 11. Формула Лиувилля. &lt;br /&gt;
ссылка: https://us06web.zoom.us/rec/share/YrUT-ZhAnAR_xqrd1FsayfyffdWN6MxDVvCVmjG2Rr3GDh6RqHsC2vF7kR0l-0LM.M7_3GNEjSjAmfdBp Passcode: tz^@4yt&amp;amp;&lt;br /&gt;
&lt;br /&gt;
Лекция 12. Теорема Штурма&lt;br /&gt;
&lt;br /&gt;
ссылка: https://us06web.zoom.us/rec/share/RtYOL8RFjvJiNxUlFxEZa2opK9XMWtwIRYxaq8cwYyecMMn5pPJM1LfUzqQALPw.PqGbAq3SynMrbXU_ Passcode: 8g#y$Wzq&lt;br /&gt;
&lt;br /&gt;
Лекция 13. Классификация положений равновесия линейной системы второго порядка.&lt;br /&gt;
Ссылка: https://us06web.zoom.us/rec/share/CL2akNYQWM0TwzH2lH38e-hS4mRS4xbbEVY5qxCWDDQclgZ25oaIPd8gfQaFSNjn.VblybMATkI9Vn6_Y&lt;br /&gt;
Passcode: gqv5#N$p&lt;br /&gt;
&lt;br /&gt;
Лекция 14. Функция Ляпунова.&lt;br /&gt;
&lt;br /&gt;
https://us06web.zoom.us/rec/share/B0xbV5rUaPP-LmFjgtFb5vnNYvsi4VARjenWqYF2cH6R51hgz_w5vW394T1Wrtk.uZ1FdGInNtWJAx7b&lt;br /&gt;
Passcode: V?2FmCfy&lt;br /&gt;
&lt;br /&gt;
== Семинары ==&lt;br /&gt;
&lt;br /&gt;
Папка слайдов с семинаров А. Запрягаева (группа 3):&lt;br /&gt;
&lt;br /&gt;
https://drive.google.com/drive/folders/1G2gqzToHoc2cTE1wHBzxFM-rsgaq-71_?usp=sharing&lt;br /&gt;
&lt;br /&gt;
Плейлист с семинарами А.А.Оноприенко 2021 года:&lt;br /&gt;
https://www.youtube.com/playlist?list=PLjrwHlbwrMF9xQvUH24R_cLLSOGfM-wxn&lt;br /&gt;
&lt;br /&gt;
== Домашние задания ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Таблицы преобразований Лапласа:&#039;&#039;&#039; [https://drive.google.com/file/d/13bNtM42ovHhMIkwf1ELE6F53GO2nRi2V/view?usp=sharing Таблица 1] [https://drive.google.com/file/d/13hVVeRqmoE_2na6YTKTVjCxX56y3ncW3/view?usp=sharing Таблица 2]&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgmmZfM-qW3ZPO5mA?e=21g6Ii Домашняя работа 1 по ДУ]. Дедлайн: &#039;&#039;пн, 7 февраля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgm3qyaNwrCqGrs-T Домашняя работа 2 по ДУ]. Дедлайн:&#039;&#039;пн, 21 февраля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgm-5MTdaeIiDPs_G Домашняя работа 3 по ДУ]. Дедлайн: &#039;&#039;пн, 7 марта, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/de-G_YiYx4Dk4A Домашняя работа 4 по ДУ]. Дедлайн: &#039;&#039;вт, 22 марта, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/mT77AbmueN8Flg Домашняя работа 5 по ДУ]. Дедлайн: &#039;&#039;чт, 21 апреля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/ylyS6t7NepMY5Q Домашняя работа 6 по ДУ]. Дедлайн: &#039;&#039;чт, 26 мая, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
=== Формат сдачи домашних заданий ===&lt;br /&gt;
&lt;br /&gt;
Группа 1: https://classroom.google.com/c/NDU4MTcxNDk3MDMy?cjc=i6cixl3&lt;br /&gt;
&lt;br /&gt;
Группа 2: https://classroom.google.com/c/NDQ4NTYzNTAyMjM0?cjc=ygkbbgf&lt;br /&gt;
&lt;br /&gt;
Группа 3: https://classroom.google.com/c/NDQ4NDM1ODM0NDY2?cjc=dwfjnl7&lt;br /&gt;
&lt;br /&gt;
Группа 4: https://classroom.google.com/c/NDQ4NTQ0NjA0MDQ1?cjc=3eftxq7&lt;br /&gt;
&lt;br /&gt;
Группа 5: https://classroom.google.com/c/NDQ4NTQ0NTgyNDE3?cjc=ncdha5f&lt;br /&gt;
&lt;br /&gt;
== Порядок формирования итоговой оценки ==&lt;br /&gt;
&lt;br /&gt;
=== Домашние задания ===&lt;br /&gt;
&lt;br /&gt;
Домашние задания выдаются каждые 2 недели. Для каждого пункта в домашнем задании указано, сколько баллов получает студент при его полностью корректном выполнении. Итоговая оценка за работу вычисляется как сумма набранных баллов или по правилам, прописанным в тексте работы, при их наличии. За задания могут выставляться частичные баллы в соответствие с долей выполненного задания, если критерии сформулированы в тексте задания. Возможности пересдачи нет.&lt;br /&gt;
&lt;br /&gt;
=== Контрольная работа===&lt;br /&gt;
&lt;br /&gt;
Контрольная работа проводится в конце третьего модуля. Длительность - 80 минут. Для каждого вопроса указано, сколько баллов получает студент при полностью корректном ответе. Итоговая оценка за работу вычисляется как сумма набранных баллов. За ответ может выставляться частичное количество баллов в соответствии с долей правильно изложенного материала. Возможность написать позже при уважительном пропуске есть. Оценка переводится в 10-балльную шкалу по опубликованной таблице.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Оценка формируется по формуле max(оценка за контрольную, среднее значение оценок за первые три домашки)&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/file/d/1rgM907hT1Z1jafLWJ-j3Yvmt62-BBRR5/view?usp=sharing Нулевой вариант контрольной работы.]&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/kMgUwIAUq4ffoA Контрольная 2021.]&lt;br /&gt;
&lt;br /&gt;
Контрольная 2022: [https://github.com/bdemeshev/pmi_de_spring_2022/raw/main/midterm/de_mid_a.pdf вар. А], [https://github.com/bdemeshev/pmi_de_spring_2022/raw/main/midterm/de_mid_b.pdf вар. Б].&lt;br /&gt;
&lt;br /&gt;
=== Экзамен === &lt;br /&gt;
&lt;br /&gt;
Экзамен проводится в конце четвертого модуля. Длительность - 120 минут. Для каждого вопроса указано, сколько баллов получает студент при полностью корректном ответе. Итоговая оценка за работу вычисляется как сумма набранных баллов. За ответ может выставляться частичное количество баллов в соответствии с долей правильно изложенного материала. Пересдача запланирована на сентябрь-октябрь будущего учебного года. Экзамен письменный.&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/file/d/1etqw_LvaONqaplV9pSrv1Op7IftzEJPQ/view?usp=sharing &#039;&#039;&#039;Пробный вариант экзамена&#039;&#039;&#039;]&lt;br /&gt;
&lt;br /&gt;
=== Итоговая формула ===&lt;br /&gt;
&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/1_9ZTxC2X_-7jy8aRq7vNswlannv4rvh8iJmEo0bisP4/edit?usp=sharing Ссылка на таблицу с результатами]&lt;br /&gt;
&lt;br /&gt;
Итоговая оценка (по стобалльной шкале) вычисляется по формуле 0.4*ЭКЗ + 0.3*ДЗ + 0.3*(оценка за третий модуль)&lt;br /&gt;
&lt;br /&gt;
ЭКЗ - оценка за экзамен.&lt;br /&gt;
&lt;br /&gt;
ДЗ - оценка за домашние задания.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Перевод из стобалльной шкалы в десятибалльную происходит в конце учебного года в соответствии со следующей таблицей:&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| 0-19,99 || 1&lt;br /&gt;
|-&lt;br /&gt;
| 20-29,99 || 2&lt;br /&gt;
|-&lt;br /&gt;
| 30-39,99 || 3&lt;br /&gt;
|-&lt;br /&gt;
| 40-46,99 || 4&lt;br /&gt;
|-&lt;br /&gt;
| 47-53,99 || 5&lt;br /&gt;
|-&lt;br /&gt;
| 54-61,99 || 6&lt;br /&gt;
|-&lt;br /&gt;
| 62-69,99 || 7&lt;br /&gt;
|-&lt;br /&gt;
| 70-77,99 || 8&lt;br /&gt;
|-&lt;br /&gt;
| 78-85,99 || 9&lt;br /&gt;
|-&lt;br /&gt;
| 86-100 || 10&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая основная литература ==&lt;br /&gt;
&lt;br /&gt;
* Романко В.К. - Курс дифференциальных уравнений и вариационного исчисления. Москва: Лаборатория базовых знаний, 2001.&lt;br /&gt;
* [https://e.lanbook.com/book/56392%20 Арнольд В.И. - Обыкновенные дифференциальные уравнения - Московский центр непрерывного математического образования - 2012 - 341с. - ISBN: 978-5-4439-2007-8 - Текст электронный // ЭБС ЛАНЬ]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A little bit more :)&lt;br /&gt;
&lt;br /&gt;
* [https://www.math.hkust.edu.hk/~machas/differential-equations.pdf Jeffrey R. Chasnov, Differential Equations]&lt;br /&gt;
* [https://www.math.toronto.edu/selick/B44.pdf Toronto University DE course]&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая дополнительная литература ==&lt;br /&gt;
* [https://new.znanium.com/catalog/product/1028709 Высшая математика для экономистов: учебник для студентов вузов, обучающихся по экономическим специальностям / Н.Ш. Кремер (и др.) ; под ред. проф. Н.Ш. Кремера. - 3-е изд. - М. : ЮНИТИ-ДАНА, 2017. - 479 с. — (Серия «Золотой фонд российских учебников») - ISBN 978-5-238-00991-9.]&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=69493</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=69493"/>
		<updated>2022-05-12T07:18:27Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 25.04.2022&#039;&#039;&#039; Systems of difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/GhYf_igqN3mTrieM_C9SR5QnjihkozRt2lJiiWSVOGQuu6V0Xb5YJnx3qTWtA2w.sLxyofjeV2jRR7Am Passcode: !@fz=Yt1], [https://youtu.be/3sR8sgsyfGw Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/ylyS6t7NepMY5Q Home assignment 6], due on &amp;quot;May 26th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68929</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68929"/>
		<updated>2022-04-25T10:16:26Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 25.04.2022&#039;&#039;&#039; Systems of difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/GhYf_igqN3mTrieM_C9SR5QnjihkozRt2lJiiWSVOGQuu6V0Xb5YJnx3qTWtA2w.sLxyofjeV2jRR7Am Passcode: !@fz=Yt1], [ Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68928</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68928"/>
		<updated>2022-04-25T10:15:33Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 25.04.2022&#039;&#039;&#039; Systems of difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/GhYf_igqN3mTrieM_C9SR5QnjihkozRt2lJiiWSVOGQuu6V0Xb5YJnx3qTWtA2w.sLxyofjeV2jRR7Am &lt;br /&gt;
Passcode: !@fz=Yt1], [ Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68664</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68664"/>
		<updated>2022-04-18T08:56:02Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68663</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68663"/>
		<updated>2022-04-18T08:55:49Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68662</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68662"/>
		<updated>2022-04-18T08:55:07Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7], [https://youtu.be/hurKr5VYng4 Youtube]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 18.04.2022&#039;&#039;&#039; Linear difference equations.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/b0-ORv9PYcgGBKvCnJDDOqmKJfnFOLihYU-_a04be4f4nQXbQzAJWFXtAxjNfaZQ.kmcT4mj_sC4dBo4b&lt;br /&gt;
Passcode: #MZr=44M], [https://youtu.be/brOxsvjjs_k Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68310</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68310"/>
		<updated>2022-04-11T10:47:31Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68309</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68309"/>
		<updated>2022-04-11T10:47:20Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68308</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68308"/>
		<updated>2022-04-11T10:47:04Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68307</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68307"/>
		<updated>2022-04-11T10:46:19Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 11.04.2022&#039;&#039;&#039; Sturm theorem.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/M5L0pV41BVRk_cz_ecipt015yTAzdoj3FzmK5GUaoJnfuWdMUWpaxabkcDdq7BTI.2ao2EE1BdH2G1xIO Passcode: 3pkAKW.7]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F_(%D0%9F%D0%9C%D0%98)_2022/23&amp;diff=68084</id>
		<title>Дифференциальные уравнения (ПМИ) 2022/23</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F_(%D0%9F%D0%9C%D0%98)_2022/23&amp;diff=68084"/>
		<updated>2022-04-06T14:36:54Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Объявления ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Внимание, это важно!&lt;br /&gt;
Начало контрольной в оффлайне и онлайне в 13:00. Она длится 80 минут. Просьба прийти на 15 минут раньше и войти в зум (кто в онлайне) тоже в 12:45.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
В аудитории R401 пишут группы 1,2,3. А группы 4 и 5 пишут в R404.&lt;br /&gt;
&lt;br /&gt;
Вход в зум по лекционной ссылке. Она такая: https://us06web.zoom.us/j/96572307700?pwd=dm50Wmk4ZnYvSWVKeFkwOGNZdWcrdz09 пароль на вход (если потребуется) 668114.&lt;br /&gt;
&lt;br /&gt;
Работы в онлайне будут загружаться в гугл-форму или, если не получится, то на почту лектора kbukin@hse.ru . Списки пишущих в онлайне предоставлены учебным офисом. Требования к пишущим в онлайне обычные, важно иметь с собою студбилет или паспорт.&lt;br /&gt;
&lt;br /&gt;
Ссылка на форму для загрузки решений:&lt;br /&gt;
&lt;br /&gt;
https://docs.google.com/forms/d/e/1FAIpQLSef5LnehsMeGejuWhpvzU0B9KXloWuZspbfETu8sYk-GRrhgQ/viewform&lt;br /&gt;
&lt;br /&gt;
Контрольная будет проведена 1 апреля (без шуток). Она считается экзаменом за третий модуль. Таков регламент учебного процесса. Важно к ней хорошо подготовиться, чтобы написать на положительную оценку. В нее войдут темы первых трех домашек курса, а также системы линейных уравнений с постоянными коэффициентами. Демо версия контрольной размещена ниже.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Оценка за третий модуль вычисляется по формуле: max(оценка за контрольную, среднее из оценок за первые три домашки).&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;Это означает, что при высоких баллах за домашки контрольная может быть пропущена.&#039;&#039; &#039;&#039;&#039;Формула итоговой оценки тогда рассчитывается как: 0,4*Экзамен+0,3*оценка за третий модуль+0,3*оценка за домашки.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Следите за объявлениями учебного офиса и расписанием.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== О курсе ==&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Разработчики:&#039;&#039;&#039;	Букин Кирилл Александрович - лектор. &lt;br /&gt;
* &#039;&#039;&#039;Число кредитов:&#039;&#039;&#039;	5&lt;br /&gt;
* &#039;&#039;&#039;Контактная работа (час.):&#039;&#039;&#039;	80 (лекции: 40; семинары: 40)&lt;br /&gt;
* &#039;&#039;&#039;Самостоятельная работа (час.):&#039;&#039;&#039;	110&lt;br /&gt;
* &#039;&#039;&#039;Образовательная программа:&#039;&#039;&#039;	Прикладная математика и информатика (2 курс)&lt;br /&gt;
* &#039;&#039;&#039;Язык преподавания:&#039;&#039;&#039;	Русский&lt;br /&gt;
* &#039;&#039;&#039;Формат изучения:&#039;&#039;&#039;	без онлайн-курса&lt;br /&gt;
* &#039;&#039;&#039;Формат промежуточного контроля:&#039;&#039;&#039; Контрольная работа (80 минут)=приравнивается экзамену за третий модуль&lt;br /&gt;
* &#039;&#039;&#039;Формат экзамена:&#039;&#039;&#039;	Очный (оффлайн) (120 минут)&lt;br /&gt;
&lt;br /&gt;
== Презентация курса ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:1000px; overflow: hidden;&amp;quot;&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
=== Цель освоения дисциплины ===&lt;br /&gt;
* Обучить студентов методам решения и исследования качественного поведения решений дифференциальных уравнений, составляющих основу математических моделей различных теоретических и практических инженерно-экономических задач&lt;br /&gt;
* Выработать навыки математического исследования прикладных вопросов и умения перевести инженерно-экономическую задачу на математический язык&lt;br /&gt;
* Повысить общий уровень математической культуры&lt;br /&gt;
* Научить самостоятельно изучать учебную и научную литературу по дифференциальным уравнениям&lt;br /&gt;
&lt;br /&gt;
=== Планируемые результаты обучения ===&lt;br /&gt;
* Владеть навыками анализа естественнонаучных задач с помощью дифференциальных уравнений&lt;br /&gt;
* Владеть навыками численного решения дифференциальных уравнений&lt;br /&gt;
* Знать доказательства основных теорем теории дифференциальных уравнений&lt;br /&gt;
* Знать определения основных понятий теории дифференциальных уравнений&lt;br /&gt;
* Знать примеры приложения теории дифференциальных уравнений к экономическим и естественнонаучным задачам&lt;br /&gt;
* Уметь исследовать качественные свойства дифференциальных уравнений&lt;br /&gt;
* Уметь решать основные типы дифференциальных уравнений&lt;br /&gt;
* Уметь строить фазовые портреты дифференциальных уравнений&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Преподаватели ===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Лектор:&#039;&#039;&#039; [https://www.hse.ru/org/persons/65522 Букин Кирилл Александрович]&lt;br /&gt;
&lt;br /&gt;
Группа в ТГ: https://t.me/+FbsGTlXKzyRiYTEy&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группы и семинаристы:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 1&#039;&#039;&#039;: [https://t.me/+eIKkI88IKOYxMjQy чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/staff/ansidiana Оноприенко Анастасия Александровна]&lt;br /&gt;
&lt;br /&gt;
Электронная почта ansidiana@yandex.ru. Телеграм: [https://t.me/ansidiana @ansidiana]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Григорьева Анастасия [https://t.me/weifoll Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 2&#039;&#039;&#039;: [https://t.me/+BxkTBfmQqr04MDAy чат в ТГ] &lt;br /&gt;
&lt;br /&gt;
Семинарист: Оноприенко Анастасия Александровна&lt;br /&gt;
&lt;br /&gt;
Электронная почта ansidiana@yandex.ru. Телеграм: [https://t.me/ansidiana @ansidiana]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Северенкова Анастасия [https://t.me/oleander_twig Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 3&#039;&#039;&#039;: [https://t.me/+IJ6i8XLB0Kc1ZTcy чат в ТГ] &lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/org/persons/218355200 Запрягаев Александр Александрович]&lt;br /&gt;
&lt;br /&gt;
Электронная почта azapryagaev@hse.ru. Телеграм (там ответы быстрее): [https://t.me/azapryagaev @azapryagaev]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Лисицына Анна [https://t.me/ammiya Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 4&#039;&#039;&#039;: [https://t.me/+sNRPdjLjHC8wY2Ni чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
[https://github.com/bdemeshev/pmi_de_spring_2022 Репка с конспектами.]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/staff/bbd Демешев Борис Борисович]&lt;br /&gt;
&lt;br /&gt;
Электронная почта boris.demeshev@gmail.com. Телеграм: [https://t.me/boris_demeshev @boris_demeshev]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Сизова Валерия [https://t.me/valerias_13 Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 5&#039;&#039;&#039;: [https://t.me/+8b5XMygTkEQ4ZTMy чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/org/persons/305969388 Лимонченко Иван Юрьевич]&lt;br /&gt;
&lt;br /&gt;
Электронная почта ilimonchenko@hse.ru. Телеграм: [https://t.me/ilimonchenko @ilimonchenko]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Козлов Алексей [https://t.me/futbol44k Телеграм]&lt;br /&gt;
&lt;br /&gt;
== Лекции ==&lt;br /&gt;
&amp;lt;big&amp;gt;Плейлист с записями &#039;&#039;&#039;лекций и семинаров группы 3&#039;&#039;&#039; на ютуб [https://youtube.com/playlist?list=PLEwK9wdS5g0o5zaPvrlXTGCpnPtbMIyMs тут].&amp;lt;/big&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Лекция 1. ДУ первого порядка. Запись можно открыть по ссылке: https://zoom.us/rec/share/Xc3XHh_ozGHEYHUpYqPQCnTBEI4pnHwPMm0ptCdmg9eFQWKQ1vZ_IMCB1Y5DMpf4.gxlSRwqNwjTyZAJf Passcode: 0@x7G%J&amp;amp;&lt;br /&gt;
&lt;br /&gt;
Лекция 2. Фундаментальная теорема существования и единственности решения задачи Коши. Запись можно открыть по ссылке: https://zoom.us/rec/share/hn3UQJNlMicGh4lX0chFZ_m63tUVVCgwqQEEZH5R301tw-i_GCa9flhGNGKXvX2F.cOjR-KVWFdXU9gSv Passcode: R%fD4^!1&lt;br /&gt;
&lt;br /&gt;
Лекция 3. Понятие равновесия. Модель Солоу в макро. Линейные уравнения с постоянными коэффициентами. Ссылка: &lt;br /&gt;
https://zoom.us/rec/share/vYk9tJIGsmtrQ7a4MFuabiTDZe9LZ5j5I62dbFuko0DsShEVd-CjrMcucuy9Cxoi.InoKZFXUoqf6QgSe (Passcode: U$b.5rpT)&lt;br /&gt;
&lt;br /&gt;
Лекция 4. Рассказана теория с доказательствами по решению линейных диффуров. &lt;br /&gt;
ссылка:&lt;br /&gt;
https://zoom.us/rec/share/I1R2pOIfd3kpf4ScdkAxvpDmfjLnRV50zfiwvTxbnpYBruQ0LzoQPaPkCzoTHGgf.oWq80Gyky4ay_RBS (Passcode: f&amp;amp;?xsa7H)&lt;br /&gt;
&lt;br /&gt;
Лекция 5. Метод неопределенных коэффициентов решения неоднородных уравнений. ссылка: https://zoom.us/rec/share/mrCyCpNIJNjwT_cCfrCUxh0SyC2rK2j_2WrGV3JmYG5WSOFOwtinns7YvN14YhMQ.Brl3Qa1poqVqWqFY (Passcode: %DV%1B^s)&lt;br /&gt;
&lt;br /&gt;
Лекция 6. Решение линейных систем ДУ с постоянными коэффициентами (начало). Уравнение Эйлера. ссылка: https://zoom.us/rec/share/84tC8-fNM_-LZHbCpOvM2tzNaERo7xt8i7A04Ry5sF1XkmIdlBlFOQ3OrcBp01Qb.7uDAXE8FXyCMA3ol (Passcode: +6e&amp;amp;6hY#)&lt;br /&gt;
&lt;br /&gt;
Лекция 7. Решение систем, используя жорданову нормальную форму. ссылка: https://zoom.us/rec/share/8UpLS_OpWt1JJ3byBLmZeE6Qefes82ZMd6ifjRFZs7fl_sMvYuAr55uliUoQ76Em.V9GJYxrz0ZrTBL4F (Passcode: Fg08Z6e%)&lt;br /&gt;
&lt;br /&gt;
Лекция 8. Решение неоднородных систем и преобразование Лапласа (начало): ссылка https://zoom.us/rec/share/nPbXj4nj5qD8SnbYaR4JHQCnc4iIYVdXUp8J30d3zndJeVdMK0ou2jc02SY2TGYO.ZDtczcYF3VwYWcsO Passcode: rgz+H0?f&lt;br /&gt;
&lt;br /&gt;
Лекция 9. Завершение преобразования Лапласа. Системы с переменными коэффициентами. ссылка&lt;br /&gt;
https://zoom.us/rec/share/OE8NNaEsjvYl2--7l4nubQzyqBSwamPXL0GwPAWvx3VGu5eK3aiY6-iv6tNv6wMA.avbiqdAqFhElEcb9 Passcode: *e2JG^y3&lt;br /&gt;
&lt;br /&gt;
Вместо лекции посмотрите полный и детальный разбор контрольной прошлого года .&lt;br /&gt;
ссылка: https://zoom.us/rec/share/scMuYxg4PQs0CaZzj9dW2fAq86B10NwFpaYySesQC9zsa6fWELsdesD3k9hlJKe2.oszMcbjoT1BzO-mf Passcode: +XX.BL59&lt;br /&gt;
&lt;br /&gt;
Консультация: [https://youtu.be/K9eKHS1f1Jo Youtube]&lt;br /&gt;
&lt;br /&gt;
Лекция 10. Матричная экспонента и линейные системы.&lt;br /&gt;
ссылка: https://zoom.us/rec/share/fCH6mzTwpSfx9Y5e4pTnYy1h-F4QbZEmbPRZzP6meFkuoJ1RJ52ssNUaHT4qCPht.JmLH3QnTUGLvmVQP Passcode: %dZ+Vm8n&lt;br /&gt;
&lt;br /&gt;
== Семинары ==&lt;br /&gt;
&lt;br /&gt;
Папка слайдов с семинаров А. Запрягаева (группа 3):&lt;br /&gt;
&lt;br /&gt;
https://drive.google.com/drive/folders/1G2gqzToHoc2cTE1wHBzxFM-rsgaq-71_?usp=sharing&lt;br /&gt;
&lt;br /&gt;
Плейлист с семинарами А.А.Оноприенко 2021 года:&lt;br /&gt;
https://www.youtube.com/playlist?list=PLjrwHlbwrMF9xQvUH24R_cLLSOGfM-wxn&lt;br /&gt;
&lt;br /&gt;
== Домашние задания ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Таблицы преобразований Лапласа:&#039;&#039;&#039; [https://drive.google.com/file/d/13bNtM42ovHhMIkwf1ELE6F53GO2nRi2V/view?usp=sharing Таблица 1] [https://drive.google.com/file/d/13hVVeRqmoE_2na6YTKTVjCxX56y3ncW3/view?usp=sharing Таблица 2]&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgmmZfM-qW3ZPO5mA?e=21g6Ii Домашняя работа 1 по ДУ]. Дедлайн: &#039;&#039;пн, 7 февраля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgm3qyaNwrCqGrs-T Домашняя работа 2 по ДУ]. Дедлайн:&#039;&#039;пн, 21 февраля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgm-5MTdaeIiDPs_G Домашняя работа 3 по ДУ]. Дедлайн: &#039;&#039;пн, 7 марта, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/de-G_YiYx4Dk4A Домашняя работа 4 по ДУ]. Дедлайн: &#039;&#039;вт, 22 марта, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/mT77AbmueN8Flg Домашняя работа 5 по ДУ]. Дедлайн: &#039;&#039;чт, 21 апреля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
=== Формат сдачи домашних заданий ===&lt;br /&gt;
&lt;br /&gt;
Группа 1: https://classroom.google.com/c/NDU4MTcxNDk3MDMy?cjc=i6cixl3&lt;br /&gt;
&lt;br /&gt;
Группа 2: https://classroom.google.com/c/NDQ4NTYzNTAyMjM0?cjc=ygkbbgf&lt;br /&gt;
&lt;br /&gt;
Группа 3: https://classroom.google.com/c/NDQ4NDM1ODM0NDY2?cjc=dwfjnl7&lt;br /&gt;
&lt;br /&gt;
Группа 4: https://classroom.google.com/c/NDQ4NTQ0NjA0MDQ1?cjc=3eftxq7&lt;br /&gt;
&lt;br /&gt;
Группа 5: https://classroom.google.com/c/NDQ4NTQ0NTgyNDE3?cjc=ncdha5f&lt;br /&gt;
&lt;br /&gt;
== Порядок формирования итоговой оценки ==&lt;br /&gt;
&lt;br /&gt;
=== Домашние задания ===&lt;br /&gt;
&lt;br /&gt;
Домашние задания выдаются каждые 2 недели. Для каждого пункта в домашнем задании указано, сколько баллов получает студент при его полностью корректном выполнении. Итоговая оценка за работу вычисляется как сумма набранных баллов или по правилам, прописанным в тексте работы, при их наличии. За задания могут выставляться частичные баллы в соответствие с долей выполненного задания, если критерии сформулированы в тексте задания. Возможности пересдачи нет.&lt;br /&gt;
&lt;br /&gt;
=== Контрольная работа===&lt;br /&gt;
&lt;br /&gt;
Контрольная работа проводится в конце третьего модуля. Длительность - 80 минут. Для каждого вопроса указано, сколько баллов получает студент при полностью корректном ответе. Итоговая оценка за работу вычисляется как сумма набранных баллов. За ответ может выставляться частичное количество баллов в соответствии с долей правильно изложенного материала. Возможность написать позже при уважительном пропуске есть. Оценка переводится в 10-балльную шкалу по опубликованной таблице.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Оценка формируется по формуле max(оценка за контрольную, среднее значение оценок за первые три домашки)&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/file/d/1rgM907hT1Z1jafLWJ-j3Yvmt62-BBRR5/view?usp=sharing Нулевой вариант контрольной работы.]&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/kMgUwIAUq4ffoA Контрольная 2021.]&lt;br /&gt;
&lt;br /&gt;
Контрольная 2022: [https://github.com/bdemeshev/pmi_de_spring_2022/raw/main/midterm/de_mid_a.pdf вар. А], [https://github.com/bdemeshev/pmi_de_spring_2022/raw/main/midterm/de_mid_b.pdf вар. Б].&lt;br /&gt;
&lt;br /&gt;
=== Экзамен === &lt;br /&gt;
&lt;br /&gt;
Экзамен проводится в конце четвертого модуля. Длительность - 120 минут. Для каждого вопроса указано, сколько баллов получает студент при полностью корректном ответе. Итоговая оценка за работу вычисляется как сумма набранных баллов. За ответ может выставляться частичное количество баллов в соответствии с долей правильно изложенного материала. Пересдача запланирована на сентябрь-октябрь будущего учебного года. Экзамен письменный.&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/file/d/1etqw_LvaONqaplV9pSrv1Op7IftzEJPQ/view?usp=sharing &#039;&#039;&#039;Пробный вариант экзамена&#039;&#039;&#039;]&lt;br /&gt;
&lt;br /&gt;
=== Итоговая формула ===&lt;br /&gt;
&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/1_9ZTxC2X_-7jy8aRq7vNswlannv4rvh8iJmEo0bisP4/edit?usp=sharing Ссылка на таблицу с результатами]&lt;br /&gt;
&lt;br /&gt;
Итоговая оценка (по стобалльной шкале) вычисляется по формуле 0.4*ЭКЗ + 0.3*ДЗ + 0.3*(оценка за третий модуль)&lt;br /&gt;
&lt;br /&gt;
ЭКЗ - оценка за экзамен.&lt;br /&gt;
&lt;br /&gt;
ДЗ - оценка за домашние задания.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Перевод из стобалльной шкалы в десятибалльную происходит в конце учебного года в соответствии со следующей таблицей:&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| 0-19,99 || 1&lt;br /&gt;
|-&lt;br /&gt;
| 20-29,99 || 2&lt;br /&gt;
|-&lt;br /&gt;
| 30-39,99 || 3&lt;br /&gt;
|-&lt;br /&gt;
| 40-46,99 || 4&lt;br /&gt;
|-&lt;br /&gt;
| 47-53,99 || 5&lt;br /&gt;
|-&lt;br /&gt;
| 54-61,99 || 6&lt;br /&gt;
|-&lt;br /&gt;
| 62-69,99 || 7&lt;br /&gt;
|-&lt;br /&gt;
| 70-77,99 || 8&lt;br /&gt;
|-&lt;br /&gt;
| 78-85,99 || 9&lt;br /&gt;
|-&lt;br /&gt;
| 86-100 || 10&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая основная литература ==&lt;br /&gt;
&lt;br /&gt;
* Романко В.К. - Курс дифференциальных уравнений и вариационного исчисления. Москва: Лаборатория базовых знаний, 2001.&lt;br /&gt;
* [https://e.lanbook.com/book/56392%20 Арнольд В.И. - Обыкновенные дифференциальные уравнения - Московский центр непрерывного математического образования - 2012 - 341с. - ISBN: 978-5-4439-2007-8 - Текст электронный // ЭБС ЛАНЬ]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A little bit more :)&lt;br /&gt;
&lt;br /&gt;
* [https://www.math.hkust.edu.hk/~machas/differential-equations.pdf Jeffrey R. Chasnov, Differential Equations]&lt;br /&gt;
* [https://www.math.toronto.edu/selick/B44.pdf Toronto University DE course]&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая дополнительная литература ==&lt;br /&gt;
* [https://new.znanium.com/catalog/product/1028709 Высшая математика для экономистов: учебник для студентов вузов, обучающихся по экономическим специальностям / Н.Ш. Кремер (и др.) ; под ред. проф. Н.Ш. Кремера. - 3-е изд. - М. : ЮНИТИ-ДАНА, 2017. - 479 с. — (Серия «Золотой фонд российских учебников») - ISBN 978-5-238-00991-9.]&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68083</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=68083"/>
		<updated>2022-04-06T14:34:59Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [https://youtu.be/5BRrrwC-mVY Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;April 6th, 2022&#039;&lt;br /&gt;
&#039;&#039;&#039;Midterm will be held in R304 for the groups 201, 202, 203 and in R305 for the group 204.&lt;br /&gt;
Please come to test a bit earlier at 9.15. Calculators are not allowed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/CpnDxLgwxd46BQ Home assignment 5], due on &amp;quot;April 21st&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=67984</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=67984"/>
		<updated>2022-04-05T00:52:48Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 04.04.2022&#039;&#039;&#039; Liouville formula.&lt;br /&gt;
[https://us06web.zoom.us/rec/share/QRoMj8nQ-v9nGL60XSp3wnaeTVhlSgFsfbTU-4fELiaRUPkF8lf3pR3Li8WXD7mO.seS83H9FRQU4EOF9 Passcode: &amp;amp;p=h38l9], [ Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;&#039;: ... ====&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F_(%D0%9F%D0%9C%D0%98)_2022/23&amp;diff=67507</id>
		<title>Дифференциальные уравнения (ПМИ) 2022/23</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F_(%D0%9F%D0%9C%D0%98)_2022/23&amp;diff=67507"/>
		<updated>2022-03-24T07:27:07Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;Полужирное начертание&#039;&#039;&#039;== Объявления ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Внимание, это важно!&lt;br /&gt;
Контрольная будет проведена 1 апреля (без шуток). Она считается экзаменом за третий модуль.&lt;br /&gt;
Таков регламент учебного процесса. Важно к ней хорошо подготовиться, чтобы написать на положительную оценку.&lt;br /&gt;
В нее войдут темы первых трех домашек курса. Контрольная начнется в 13.00 и длится 80 минут. Демо версия контрольной размещена ниже.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Оценка за третий модуль вычисляется по формуле: max(оценка за контрольную, среднее из оценок за первые три домашки).&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;Это означает, что при высоких баллах за домашки контрольная может быть пропущена.&#039;&#039; &#039;&#039;&#039;Формула итоговой оценки тогда рассчитывается как: 0,4*Экзамен+0,3*оценка за третий модуль+0,3*оценка за домашки.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Следите за объявлениями учебного офиса и расписанием.&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== О курсе ==&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Разработчики:&#039;&#039;&#039;	Букин Кирилл Александрович - лектор. &lt;br /&gt;
* &#039;&#039;&#039;Число кредитов:&#039;&#039;&#039;	5&lt;br /&gt;
* &#039;&#039;&#039;Контактная работа (час.):&#039;&#039;&#039;	80 (лекции: 40; семинары: 40)&lt;br /&gt;
* &#039;&#039;&#039;Самостоятельная работа (час.):&#039;&#039;&#039;	110&lt;br /&gt;
* &#039;&#039;&#039;Образовательная программа:&#039;&#039;&#039;	Прикладная математика и информатика (2 курс)&lt;br /&gt;
* &#039;&#039;&#039;Язык преподавания:&#039;&#039;&#039;	Русский&lt;br /&gt;
* &#039;&#039;&#039;Формат изучения:&#039;&#039;&#039;	без онлайн-курса&lt;br /&gt;
* &#039;&#039;&#039;Формат промежуточного контроля:&#039;&#039;&#039; Контрольная работа (80 минут)=приравнивается экзамену за третий модуль&lt;br /&gt;
* &#039;&#039;&#039;Формат экзамена:&#039;&#039;&#039;	Очный (оффлайн) (120 минут)&lt;br /&gt;
&lt;br /&gt;
== Презентация курса ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:1000px; overflow: hidden;&amp;quot;&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
=== Цель освоения дисциплины ===&lt;br /&gt;
* Обучить студентов методам решения и исследования качественного поведения решений дифференциальных уравнений, составляющих основу математических моделей различных теоретических и практических инженерно-экономических задач&lt;br /&gt;
* Выработать навыки математического исследования прикладных вопросов и умения перевести инженерно-экономическую задачу на математический язык&lt;br /&gt;
* Повысить общий уровень математической культуры&lt;br /&gt;
* Научить самостоятельно изучать учебную и научную литературу по дифференциальным уравнениям&lt;br /&gt;
&lt;br /&gt;
=== Планируемые результаты обучения ===&lt;br /&gt;
* Владеть навыками анализа естественнонаучных задач с помощью дифференциальных уравнений&lt;br /&gt;
* Владеть навыками численного решения дифференциальных уравнений&lt;br /&gt;
* Знать доказательства основных теорем теории дифференциальных уравнений&lt;br /&gt;
* Знать определения основных понятий теории дифференциальных уравнений&lt;br /&gt;
* Знать примеры приложения теории дифференциальных уравнений к экономическим и естественнонаучным задачам&lt;br /&gt;
* Уметь исследовать качественные свойства дифференциальных уравнений&lt;br /&gt;
* Уметь решать основные типы дифференциальных уравнений&lt;br /&gt;
* Уметь строить фазовые портреты дифференциальных уравнений&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Преподаватели ===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Лектор:&#039;&#039;&#039; [https://www.hse.ru/org/persons/65522 Букин Кирилл Александрович]&lt;br /&gt;
&lt;br /&gt;
Группа в ТГ: https://t.me/+FbsGTlXKzyRiYTEy&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группы и семинаристы:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 1&#039;&#039;&#039;: [https://t.me/+eIKkI88IKOYxMjQy чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/staff/ansidiana Оноприенко Анастасия Александровна]&lt;br /&gt;
&lt;br /&gt;
Электронная почта ansidiana@yandex.ru. Телеграм: [https://t.me/ansidiana @ansidiana]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Григорьева Анастасия [https://t.me/weifoll Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 2&#039;&#039;&#039;: [https://t.me/+BxkTBfmQqr04MDAy чат в ТГ] &lt;br /&gt;
&lt;br /&gt;
Семинарист: Оноприенко Анастасия Александровна&lt;br /&gt;
&lt;br /&gt;
Электронная почта ansidiana@yandex.ru. Телеграм: [https://t.me/ansidiana @ansidiana]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Северенкова Анастасия [https://t.me/oleander_twig Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 3&#039;&#039;&#039;: [https://t.me/+IJ6i8XLB0Kc1ZTcy чат в ТГ] &lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/org/persons/218355200 Запрягаев Александр Александрович]&lt;br /&gt;
&lt;br /&gt;
Электронная почта azapryagaev@hse.ru. Телеграм (там ответы быстрее): [https://t.me/azapryagaev @azapryagaev]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Лисицына Анна [https://t.me/ammiya Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 4&#039;&#039;&#039;: [https://t.me/+sNRPdjLjHC8wY2Ni чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
[https://github.com/bdemeshev/pmi_de_spring_2022 Репка с конспектами.]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/staff/bbd Демешев Борис Борисович]&lt;br /&gt;
&lt;br /&gt;
Электронная почта boris.demeshev@gmail.com. Телеграм: [https://t.me/boris_demeshev @boris_demeshev]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Сизова Валерия [https://t.me/valerias_13 Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 5&#039;&#039;&#039;: [https://t.me/+8b5XMygTkEQ4ZTMy чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/org/persons/305969388 Лимонченко Иван Юрьевич]&lt;br /&gt;
&lt;br /&gt;
Электронная почта ilimonchenko@hse.ru. Телеграм: [https://t.me/ilimonchenko @ilimonchenko]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Козлов Алексей [https://t.me/futbol44k Телеграм]&lt;br /&gt;
&lt;br /&gt;
== Лекции ==&lt;br /&gt;
&amp;lt;big&amp;gt;Плейлист с записями &#039;&#039;&#039;лекций и семинаров группы 3&#039;&#039;&#039; на ютуб [https://youtube.com/playlist?list=PLEwK9wdS5g0o5zaPvrlXTGCpnPtbMIyMs тут].&amp;lt;/big&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Лекция 1. ДУ первого порядка. Запись можно открыть по ссылке: https://zoom.us/rec/share/Xc3XHh_ozGHEYHUpYqPQCnTBEI4pnHwPMm0ptCdmg9eFQWKQ1vZ_IMCB1Y5DMpf4.gxlSRwqNwjTyZAJf Passcode: 0@x7G%J&amp;amp;&lt;br /&gt;
&lt;br /&gt;
Лекция 2. Фундаментальная теорема существования и единственности решения задачи Коши. Запись можно открыть по ссылке: https://zoom.us/rec/share/hn3UQJNlMicGh4lX0chFZ_m63tUVVCgwqQEEZH5R301tw-i_GCa9flhGNGKXvX2F.cOjR-KVWFdXU9gSv Passcode: R%fD4^!1&lt;br /&gt;
&lt;br /&gt;
Лекция 3. Понятие равновесия. Модель Солоу в макро. Линейные уравнения с постоянными коэффициентами. Ссылка: &lt;br /&gt;
https://zoom.us/rec/share/vYk9tJIGsmtrQ7a4MFuabiTDZe9LZ5j5I62dbFuko0DsShEVd-CjrMcucuy9Cxoi.InoKZFXUoqf6QgSe (Passcode: U$b.5rpT)&lt;br /&gt;
&lt;br /&gt;
Лекция 4. Рассказана теория с доказательствами по решению линейных диффуров. &lt;br /&gt;
ссылка:&lt;br /&gt;
https://zoom.us/rec/share/I1R2pOIfd3kpf4ScdkAxvpDmfjLnRV50zfiwvTxbnpYBruQ0LzoQPaPkCzoTHGgf.oWq80Gyky4ay_RBS (Passcode: f&amp;amp;?xsa7H)&lt;br /&gt;
&lt;br /&gt;
Лекция 5. Метод неопределенных коэффициентов решения неоднородных уравнений. ссылка: https://zoom.us/rec/share/mrCyCpNIJNjwT_cCfrCUxh0SyC2rK2j_2WrGV3JmYG5WSOFOwtinns7YvN14YhMQ.Brl3Qa1poqVqWqFY (Passcode: %DV%1B^s)&lt;br /&gt;
&lt;br /&gt;
Лекция 6. Решение линейных систем ДУ с постоянными коэффициентами (начало). Уравнение Эйлера. ссылка: https://zoom.us/rec/share/84tC8-fNM_-LZHbCpOvM2tzNaERo7xt8i7A04Ry5sF1XkmIdlBlFOQ3OrcBp01Qb.7uDAXE8FXyCMA3ol (Passcode: +6e&amp;amp;6hY#)&lt;br /&gt;
&lt;br /&gt;
Лекция 7. Решение систем, используя жорданову нормальную форму. ссылка: https://zoom.us/rec/share/8UpLS_OpWt1JJ3byBLmZeE6Qefes82ZMd6ifjRFZs7fl_sMvYuAr55uliUoQ76Em.V9GJYxrz0ZrTBL4F (Passcode: Fg08Z6e%)&lt;br /&gt;
&lt;br /&gt;
Лекция 8. Решение неоднородных систем и прелобразованеи Лапласа (начало): ссылка https://zoom.us/rec/share/nPbXj4nj5qD8SnbYaR4JHQCnc4iIYVdXUp8J30d3zndJeVdMK0ou2jc02SY2TGYO.ZDtczcYF3VwYWcsO Passcode: rgz+H0?f&lt;br /&gt;
&lt;br /&gt;
Лекция 9. Завершение преобразования Лапласа. Системы с переменными коэффициентами. ссылка&lt;br /&gt;
https://zoom.us/rec/share/OE8NNaEsjvYl2--7l4nubQzyqBSwamPXL0GwPAWvx3VGu5eK3aiY6-iv6tNv6wMA.avbiqdAqFhElEcb9 Passcode: *e2JG^y3&lt;br /&gt;
&lt;br /&gt;
Вместо лекции посмотрите полный и детальный разбор контрольной прошлого года .&lt;br /&gt;
ссылка: https://zoom.us/rec/share/scMuYxg4PQs0CaZzj9dW2fAq86B10NwFpaYySesQC9zsa6fWELsdesD3k9hlJKe2.oszMcbjoT1BzO-mf Passcode: +XX.BL59&lt;br /&gt;
&lt;br /&gt;
Консультация: [https://youtu.be/K9eKHS1f1Jo Youtube]&lt;br /&gt;
&lt;br /&gt;
== Семинары ==&lt;br /&gt;
&lt;br /&gt;
Папка слайдов с семинаров А. Запрягаева (группа 3):&lt;br /&gt;
&lt;br /&gt;
https://drive.google.com/drive/folders/1G2gqzToHoc2cTE1wHBzxFM-rsgaq-71_?usp=sharing&lt;br /&gt;
&lt;br /&gt;
Плейлист с семинарами А.А.Оноприенко 2021 года:&lt;br /&gt;
https://www.youtube.com/playlist?list=PLjrwHlbwrMF9xQvUH24R_cLLSOGfM-wxn&lt;br /&gt;
&lt;br /&gt;
== Домашние задания ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Таблицы преобразований Лапласа:&#039;&#039;&#039; [https://drive.google.com/file/d/13bNtM42ovHhMIkwf1ELE6F53GO2nRi2V/view?usp=sharing Таблица 1] [https://drive.google.com/file/d/13hVVeRqmoE_2na6YTKTVjCxX56y3ncW3/view?usp=sharing Таблица 2]&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgmmZfM-qW3ZPO5mA?e=21g6Ii Домашняя работа 1 по ДУ]. Дедлайн: &#039;&#039;пн, 7 февраля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgm3qyaNwrCqGrs-T Домашняя работа 2 по ДУ]. Дедлайн:&#039;&#039;пн, 21 февраля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgm-5MTdaeIiDPs_G Домашняя работа 3 по ДУ]. Дедлайн: &#039;&#039;пн, 7 марта, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/de-G_YiYx4Dk4A Домашняя работа 4 по ДУ]. Дедлайн: &#039;&#039;вт, 22 марта, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
=== Формат сдачи домашних заданий ===&lt;br /&gt;
&lt;br /&gt;
Группа 1: https://classroom.google.com/c/NDU4MTcxNDk3MDMy?cjc=i6cixl3&lt;br /&gt;
&lt;br /&gt;
Группа 2: https://classroom.google.com/c/NDQ4NTYzNTAyMjM0?cjc=ygkbbgf&lt;br /&gt;
&lt;br /&gt;
Группа 3: https://classroom.google.com/c/NDQ4NDM1ODM0NDY2?cjc=dwfjnl7&lt;br /&gt;
&lt;br /&gt;
Группа 4: https://classroom.google.com/c/NDQ4NTQ0NjA0MDQ1?cjc=3eftxq7&lt;br /&gt;
&lt;br /&gt;
Группа 5: https://classroom.google.com/c/NDQ4NTQ0NTgyNDE3?cjc=ncdha5f&lt;br /&gt;
&lt;br /&gt;
== Порядок формирования итоговой оценки ==&lt;br /&gt;
&lt;br /&gt;
=== Домашние задания ===&lt;br /&gt;
&lt;br /&gt;
Домашние задания выдаются каждые 2 недели. Для каждого пункта в домашнем задании указано, сколько баллов получает студент при его полностью корректном выполнении. Итоговая оценка за работу вычисляется как сумма набранных баллов или по правилам, прописанным в тексте работы, при их наличии. За задания могут выставляться частичные баллы в соответствие с долей выполненного задания, если критерии сформулированы в тексте задания. Возможности пересдачи нет.&lt;br /&gt;
&lt;br /&gt;
=== Контрольная работа===&lt;br /&gt;
&lt;br /&gt;
Контрольная работа проводится в конце третьего модуля. Длительность - 80 минут. Для каждого вопроса указано, сколько баллов получает студент при полностью корректном ответе. Итоговая оценка за работу вычисляется как сумма набранных баллов. За ответ может выставляться частичное количество баллов в соответствии с долей правильно изложенного материала. Возможность написать позже при уважительном пропуске есть. Оценка переводится в 10-балльную шкалу по опубликованной таблице.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Оценка формируется по формуле max(оценка за контрольную, среднее значение оценок за первые три домашки)&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;&lt;br /&gt;
[https://drive.google.com/file/d/1rgM907hT1Z1jafLWJ-j3Yvmt62-BBRR5/view?usp=sharing &#039;&#039;&#039;Нулевой вариант контрольной работы.]&lt;br /&gt;
&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;Контрольная работа пройдет 1 апреля. Начало в 13.00...&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/kMgUwIAUq4ffoA &#039;&#039;&#039;Контрольная 2021.]&lt;br /&gt;
&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Аудитории по группам:&lt;br /&gt;
&lt;br /&gt;
=== Экзамен === &lt;br /&gt;
&lt;br /&gt;
Экзамен проводится в конце четвертого модуля. Длительность - 120 минут. Для каждого вопроса указано, сколько баллов получает студент при полностью корректном ответе. Итоговая оценка за работу вычисляется как сумма набранных баллов. За ответ может выставляться частичное количество баллов в соответствии с долей правильно изложенного материала. Пересдача запланирована на сентябрь-октябрь будущего учебного года. Экзамен письменный.&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/file/d/1etqw_LvaONqaplV9pSrv1Op7IftzEJPQ/view?usp=sharing &#039;&#039;&#039;Пробный вариант экзамена&#039;&#039;&#039;]&lt;br /&gt;
&lt;br /&gt;
=== Итоговая формула ===&lt;br /&gt;
&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/1_9ZTxC2X_-7jy8aRq7vNswlannv4rvh8iJmEo0bisP4/edit?usp=sharing Ссылка на таблицу с результатами]&lt;br /&gt;
&lt;br /&gt;
Итоговая оценка (по стобалльной шкале) вычисляется по формуле 0.4*ЭКЗ + 0.3*ДЗ + 0.3*(оценка за третий модуль)&lt;br /&gt;
&lt;br /&gt;
ЭКЗ - оценка за экзамен.&lt;br /&gt;
&lt;br /&gt;
ДЗ - оценка за домашние задания.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Перевод из стобалльной шкалы в десятибалльную происходит в конце учебного года в соответствии со следующей таблицей:&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| 0-19,99 || 1&lt;br /&gt;
|-&lt;br /&gt;
| 20-29,99 || 2&lt;br /&gt;
|-&lt;br /&gt;
| 30-39,99 || 3&lt;br /&gt;
|-&lt;br /&gt;
| 40-46,99 || 4&lt;br /&gt;
|-&lt;br /&gt;
| 47-53,99 || 5&lt;br /&gt;
|-&lt;br /&gt;
| 54-61,99 || 6&lt;br /&gt;
|-&lt;br /&gt;
| 62-69,99 || 7&lt;br /&gt;
|-&lt;br /&gt;
| 70-77,99 || 8&lt;br /&gt;
|-&lt;br /&gt;
| 78-85,99 || 9&lt;br /&gt;
|-&lt;br /&gt;
| 86-100 || 10&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая основная литература ==&lt;br /&gt;
&lt;br /&gt;
* Романко В.К. - Курс дифференциальных уравнений и вариационного исчисления. Москва: Лаборатория базовых знаний, 2001.&lt;br /&gt;
* [https://e.lanbook.com/book/56392%20 Арнольд В.И. - Обыкновенные дифференциальные уравнения - Московский центр непрерывного математического образования - 2012 - 341с. - ISBN: 978-5-4439-2007-8 - Текст электронный // ЭБС ЛАНЬ]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A little bit more :)&lt;br /&gt;
&lt;br /&gt;
* [https://www.math.hkust.edu.hk/~machas/differential-equations.pdf Jeffrey R. Chasnov, Differential Equations]&lt;br /&gt;
* [https://www.math.toronto.edu/selick/B44.pdf Toronto University DE course]&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая дополнительная литература ==&lt;br /&gt;
* [https://new.znanium.com/catalog/product/1028709 Высшая математика для экономистов: учебник для студентов вузов, обучающихся по экономическим специальностям / Н.Ш. Кремер (и др.) ; под ред. проф. Н.Ш. Кремера. - 3-е изд. - М. : ЮНИТИ-ДАНА, 2017. - 479 с. — (Серия «Золотой фонд российских учебников») - ISBN 978-5-238-00991-9.]&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=67384</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=67384"/>
		<updated>2022-03-21T15:03:13Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;&#039;: ... ====&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=67383</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=67383"/>
		<updated>2022-03-21T15:03:03Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW], [https://youtu.be/BA8jng0SA6o Youtube]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.03.2022&#039;&#039;&#039; Matrix exponent.&lt;br /&gt;
[https://zoom.us/rec/share/4tndPQMEKzn54fx70P8Bt4FWRkEcSpUQrfZMBBKy5Q-q8boHnlrgH8Nz2WKLEwAX.h4Q6-C5pFEcCV1nh Passcode: #?q2#XjS], [https://youtu.be/71kE9UEQyzU Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;&#039;: ... ====&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=67066</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=67066"/>
		<updated>2022-03-14T08:58:27Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.03.2022&#039;&#039;&#039; Laplace transform.&lt;br /&gt;
[https://zoom.us/rec/share/kaKg6rj3aV3aWiUnhkyR6E33qabWOgkKaHTXtTK96Xbq-pr0SoltLq1dlkMQJ5Rw.qZwNqlm_wytSMZ99 Passcode: 5!%Z1sfW]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;&#039;: ... ====&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=67035</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=67035"/>
		<updated>2022-03-13T16:46:51Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;&#039;: ... ====&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 24th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F_(%D0%9F%D0%9C%D0%98)_2022/23&amp;diff=66740</id>
		<title>Дифференциальные уравнения (ПМИ) 2022/23</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=%D0%94%D0%B8%D1%84%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F_(%D0%9F%D0%9C%D0%98)_2022/23&amp;diff=66740"/>
		<updated>2022-03-05T17:02:24Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Объявления ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Экзамен по ДУ. Следите за объявлениями учебного офиса и расписанием&lt;br /&gt;
&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== О курсе ==&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;Разработчики:&#039;&#039;&#039;	Букин Кирилл Александрович - лектор. &lt;br /&gt;
* &#039;&#039;&#039;Число кредитов:&#039;&#039;&#039;	5&lt;br /&gt;
* &#039;&#039;&#039;Контактная работа (час.):&#039;&#039;&#039;	80 (лекции: 40; семинары: 40)&lt;br /&gt;
* &#039;&#039;&#039;Самостоятельная работа (час.):&#039;&#039;&#039;	110&lt;br /&gt;
* &#039;&#039;&#039;Образовательная программа:&#039;&#039;&#039;	Прикладная математика и информатика (2 курс)&lt;br /&gt;
* &#039;&#039;&#039;Язык преподавания:&#039;&#039;&#039;	Русский&lt;br /&gt;
* &#039;&#039;&#039;Формат изучения:&#039;&#039;&#039;	без онлайн-курса&lt;br /&gt;
* &#039;&#039;&#039;Формат промежуточного контроля:&#039;&#039;&#039; Контрольная работа (80 минут)&lt;br /&gt;
* &#039;&#039;&#039;Формат экзамена:&#039;&#039;&#039;	Очный (оффлайн) (120 минут)&lt;br /&gt;
&lt;br /&gt;
== Презентация курса ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible mw-collapsed&amp;quot; style=&amp;quot;width:1000px; overflow: hidden;&amp;quot;&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
=== Цель освоения дисциплины ===&lt;br /&gt;
* Обучить студентов методам решения и исследования качественного поведения решений дифференциальных уравнений, составляющих основу математических моделей различных теоретических и практических инженерно-экономических задач&lt;br /&gt;
* Выработать навыки математического исследования прикладных вопросов и умения перевести инженерно-экономическую задачу на математический язык&lt;br /&gt;
* Повысить общий уровень математической культуры&lt;br /&gt;
* Научить самостоятельно изучать учебную и научную литературу по дифференциальным уравнениям&lt;br /&gt;
&lt;br /&gt;
=== Планируемые результаты обучения ===&lt;br /&gt;
* Владеть навыками анализа естественнонаучных задач с помощью дифференциальных уравнений&lt;br /&gt;
* Владеть навыками численного решения дифференциальных уравнений&lt;br /&gt;
* Знать доказательства основных теорем теории дифференциальных уравнений&lt;br /&gt;
* Знать определения основных понятий теории дифференциальных уравнений&lt;br /&gt;
* Знать примеры приложения теории дифференциальных уравнений к экономическим и естественнонаучным задачам&lt;br /&gt;
* Уметь исследовать качественные свойства дифференциальных уравнений&lt;br /&gt;
* Уметь решать основные типы дифференциальных уравнений&lt;br /&gt;
* Уметь строить фазовые портреты дифференциальных уравнений&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Преподаватели ===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Лектор:&#039;&#039;&#039; [https://www.hse.ru/org/persons/65522 Букин Кирилл Александрович]&lt;br /&gt;
&lt;br /&gt;
Группа в ТГ: https://t.me/+FbsGTlXKzyRiYTEy&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группы и семинаристы:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 1&#039;&#039;&#039;: [https://t.me/+eIKkI88IKOYxMjQy чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/staff/ansidiana Оноприенко Анастасия Александровна]&lt;br /&gt;
&lt;br /&gt;
Электронная почта ansidiana@yandex.ru. Телеграм: [https://t.me/ansidiana @ansidiana]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Григорьева Анастасия [https://t.me/weifoll Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 2&#039;&#039;&#039;: [https://t.me/+BxkTBfmQqr04MDAy чат в ТГ] &lt;br /&gt;
&lt;br /&gt;
Семинарист: Оноприенко Анастасия Александровна&lt;br /&gt;
&lt;br /&gt;
Электронная почта ansidiana@yandex.ru. Телеграм: [https://t.me/ansidiana @ansidiana]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Северенкова Анастасия [https://t.me/oleander_twig Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 3&#039;&#039;&#039;: [https://t.me/+IJ6i8XLB0Kc1ZTcy чат в ТГ] &lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/org/persons/218355200 Запрягаев Александр Александрович]&lt;br /&gt;
&lt;br /&gt;
Электронная почта azapryagaev@hse.ru. Телеграм (там ответы быстрее): [https://t.me/azapryagaev @azapryagaev]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Лисицына Анна [https://t.me/ammiya Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 4&#039;&#039;&#039;: [https://t.me/+sNRPdjLjHC8wY2Ni чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
[https://github.com/bdemeshev/pmi_de_spring_2022 Репка с конспектами.]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/staff/bbd Демешев Борис Борисович]&lt;br /&gt;
&lt;br /&gt;
Электронная почта boris.demeshev@gmail.com. Телеграм: [https://t.me/boris_demeshev @boris_demeshev]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Сизова Валерия [https://t.me/valerias_13 Телеграм]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Группа 5&#039;&#039;&#039;: [https://t.me/+8b5XMygTkEQ4ZTMy чат в ТГ]&lt;br /&gt;
&lt;br /&gt;
Семинарист: [https://www.hse.ru/org/persons/305969388 Лимонченко Иван Юрьевич]&lt;br /&gt;
&lt;br /&gt;
Электронная почта ilimonchenko@hse.ru. Телеграм: [https://t.me/ilimonchenko @ilimonchenko]&lt;br /&gt;
&lt;br /&gt;
Ассистент: Козлов Алексей [https://t.me/futbol44k Телеграм]&lt;br /&gt;
&lt;br /&gt;
== Лекции ==&lt;br /&gt;
&amp;lt;big&amp;gt;Плейлист с записями &#039;&#039;&#039;лекций и семинаров группы 3&#039;&#039;&#039; на ютуб [https://youtube.com/playlist?list=PLEwK9wdS5g0o5zaPvrlXTGCpnPtbMIyMs тут].&amp;lt;/big&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Лекция 1. ДУ первого порядка. Запись можно открыть по ссылке: https://zoom.us/rec/share/Xc3XHh_ozGHEYHUpYqPQCnTBEI4pnHwPMm0ptCdmg9eFQWKQ1vZ_IMCB1Y5DMpf4.gxlSRwqNwjTyZAJf Passcode: 0@x7G%J&amp;amp;&lt;br /&gt;
&lt;br /&gt;
Лекция 2. Фундаментальная теорема существования и единственности решения задачи Коши. Запись можно открыть по ссылке: https://zoom.us/rec/share/hn3UQJNlMicGh4lX0chFZ_m63tUVVCgwqQEEZH5R301tw-i_GCa9flhGNGKXvX2F.cOjR-KVWFdXU9gSv Passcode: R%fD4^!1&lt;br /&gt;
&lt;br /&gt;
Лекция 3. Понятие равновесия. Модель Солоу в макро. Линейные уравнения с постоянными коэффициентами. Ссылка: &lt;br /&gt;
https://zoom.us/rec/share/vYk9tJIGsmtrQ7a4MFuabiTDZe9LZ5j5I62dbFuko0DsShEVd-CjrMcucuy9Cxoi.InoKZFXUoqf6QgSe (Passcode: U$b.5rpT)&lt;br /&gt;
&lt;br /&gt;
Лекция 4. Рассказана теория с доказательствами по решению линейных диффуров. &lt;br /&gt;
ссылка:&lt;br /&gt;
https://zoom.us/rec/share/I1R2pOIfd3kpf4ScdkAxvpDmfjLnRV50zfiwvTxbnpYBruQ0LzoQPaPkCzoTHGgf.oWq80Gyky4ay_RBS (Passcode: f&amp;amp;?xsa7H)&lt;br /&gt;
&lt;br /&gt;
Лекция 5. Метод неопределенных коэффициентов решения неоднородных уравнений. ссылка: https://zoom.us/rec/share/mrCyCpNIJNjwT_cCfrCUxh0SyC2rK2j_2WrGV3JmYG5WSOFOwtinns7YvN14YhMQ.Brl3Qa1poqVqWqFY (Passcode: %DV%1B^s)&lt;br /&gt;
&lt;br /&gt;
Лекция 6. Решение линейных систем ДУ с постоянными коэффициентами (начало). Уравнение Эйлера. ссылка: https://zoom.us/rec/share/84tC8-fNM_-LZHbCpOvM2tzNaERo7xt8i7A04Ry5sF1XkmIdlBlFOQ3OrcBp01Qb.7uDAXE8FXyCMA3ol (Passcode: +6e&amp;amp;6hY#)&lt;br /&gt;
&lt;br /&gt;
Лекция 7. Решение систем, используя жорданову нормальную форму. ссылка: https://zoom.us/rec/share/8UpLS_OpWt1JJ3byBLmZeE6Qefes82ZMd6ifjRFZs7fl_sMvYuAr55uliUoQ76Em.V9GJYxrz0ZrTBL4F (Passcode: Fg08Z6e%)&lt;br /&gt;
&lt;br /&gt;
Лекция 8. Решение неоднородных систем и прелобразованеи Лапласа (начало): ссылка https://zoom.us/rec/share/nPbXj4nj5qD8SnbYaR4JHQCnc4iIYVdXUp8J30d3zndJeVdMK0ou2jc02SY2TGYO.ZDtczcYF3VwYWcsO Passcode: rgz+H0?f&lt;br /&gt;
&lt;br /&gt;
== Семинары ==&lt;br /&gt;
&lt;br /&gt;
Папка слайдов с семинаров А. Запрягаева (группа 3):&lt;br /&gt;
&lt;br /&gt;
https://drive.google.com/drive/folders/1G2gqzToHoc2cTE1wHBzxFM-rsgaq-71_?usp=sharing&lt;br /&gt;
&lt;br /&gt;
Плейлист с семинарами А.А.Оноприенко 2021 года:&lt;br /&gt;
https://www.youtube.com/playlist?list=PLjrwHlbwrMF9xQvUH24R_cLLSOGfM-wxn&lt;br /&gt;
&lt;br /&gt;
== Домашние задания ==&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgmmZfM-qW3ZPO5mA?e=21g6Ii Домашняя работа 1 по ДУ]. Дедлайн: &#039;&#039;пн, 7 февраля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgm3qyaNwrCqGrs-T Домашняя работа 2 по ДУ]. Дедлайн:&#039;&#039;пн, 21 февраля, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://1drv.ms/b/s!AqqB9wM9YobIgm-5MTdaeIiDPs_G Домашняя работа 3 по ДУ]. Дедлайн: &#039;&#039;пн, 7 марта, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/de-G_YiYx4Dk4A Домашняя работа 4 по ДУ]. Дедлайн: &#039;&#039;вт, 22 марта, &#039;&#039;&#039;21:00 МСК.&#039;&#039;&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
=== Формат сдачи домашних заданий ===&lt;br /&gt;
&lt;br /&gt;
Группа 1: https://classroom.google.com/c/NDU4MTcxNDk3MDMy?cjc=i6cixl3&lt;br /&gt;
&lt;br /&gt;
Группа 2: https://classroom.google.com/c/NDQ4NTYzNTAyMjM0?cjc=ygkbbgf&lt;br /&gt;
&lt;br /&gt;
Группа 3: https://classroom.google.com/c/NDQ4NDM1ODM0NDY2?cjc=dwfjnl7&lt;br /&gt;
&lt;br /&gt;
Группа 4: https://classroom.google.com/c/NDQ4NTQ0NjA0MDQ1?cjc=3eftxq7&lt;br /&gt;
&lt;br /&gt;
Группа 5: https://classroom.google.com/c/NDQ4NTQ0NTgyNDE3?cjc=ncdha5f&lt;br /&gt;
&lt;br /&gt;
== Порядок формирования итоговой оценки ==&lt;br /&gt;
&lt;br /&gt;
=== Домашние задания ===&lt;br /&gt;
&lt;br /&gt;
Домашние задания выдаются каждые 2 недели. Для каждого пункта в домашнем задании указано, сколько баллов получает студент при его полностью корректном выполнении. Итоговая оценка за работу вычисляется как сумма набранных баллов или по правилам, прописанным в тексте работы, при их наличии. За задания могут выставляться частичные баллы в соответствие с долей выполненного задания, если критерии сформулированы в тексте задания. Возможности пересдачи нет.&lt;br /&gt;
&lt;br /&gt;
=== Контрольная работа===&lt;br /&gt;
&lt;br /&gt;
Контрольная работа проводится в конце третьего модуля. Длительность - 80 минут. Для каждого вопроса указано, сколько баллов получает студент при полностью корректном ответе. Итоговая оценка за работу вычисляется как сумма набранных баллов. За ответ может выставляться частичное количество баллов в соответствии с долей правильно изложенного материала. Возможность написать позже при уважительном пропуске есть.&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/file/d/1rgM907hT1Z1jafLWJ-j3Yvmt62-BBRR5/view?usp=sharing Нулевой вариант контрольной работы.]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Контрольная работа пройдет ...&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Аудитории по группам:&lt;br /&gt;
&lt;br /&gt;
=== Экзамен === &lt;br /&gt;
&lt;br /&gt;
Экзамен проводится в конце четвертого модуля. Длительность - 120 минут. Для каждого вопроса указано, сколько баллов получает студент при полностью корректном ответе. Итоговая оценка за работу вычисляется как сумма набранных баллов. За ответ может выставляться частичное количество баллов в соответствии с долей правильно изложенного материала. Пересдача запланирована на сентябрь-октябрь будущего учебного года. Экзамен письменный.&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/file/d/1etqw_LvaONqaplV9pSrv1Op7IftzEJPQ/view?usp=sharing &#039;&#039;&#039;Пробный вариант экзамена&#039;&#039;&#039;]&lt;br /&gt;
&lt;br /&gt;
=== Итоговая формула ===&lt;br /&gt;
&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/1_9ZTxC2X_-7jy8aRq7vNswlannv4rvh8iJmEo0bisP4/edit?usp=sharing Ссылка на таблицу с результатами]&lt;br /&gt;
&lt;br /&gt;
Итоговая оценка (по стобалльной шкале) вычисляется по формуле 0.4*ЭКЗ + 0.3*ДЗ + 0.3*КР&lt;br /&gt;
&lt;br /&gt;
ЭКЗ - оценка за экзамен.&lt;br /&gt;
&lt;br /&gt;
ДЗ - оценка за домашние задания.&lt;br /&gt;
&lt;br /&gt;
КР - оценка за контрольную работу.&lt;br /&gt;
&lt;br /&gt;
Перевод из стобалльной шкалы в десятибалльную происходит в конце учебного года в соответствии со следующей таблицей:&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| 0-19,99 || 1&lt;br /&gt;
|-&lt;br /&gt;
| 20-29,99 || 2&lt;br /&gt;
|-&lt;br /&gt;
| 30-39,99 || 3&lt;br /&gt;
|-&lt;br /&gt;
| 40-46,99 || 4&lt;br /&gt;
|-&lt;br /&gt;
| 47-53,99 || 5&lt;br /&gt;
|-&lt;br /&gt;
| 54-61,99 || 6&lt;br /&gt;
|-&lt;br /&gt;
| 62-69,99 || 7&lt;br /&gt;
|-&lt;br /&gt;
| 70-77,99 || 8&lt;br /&gt;
|-&lt;br /&gt;
| 78-85,99 || 9&lt;br /&gt;
|-&lt;br /&gt;
| 86-100 || 10&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая основная литература ==&lt;br /&gt;
&lt;br /&gt;
* Романко В.К. - Курс дифференциальных уравнений и вариационного исчисления. Москва: Лаборатория базовых знаний, 2001.&lt;br /&gt;
* [https://e.lanbook.com/book/56392%20 Арнольд В.И. - Обыкновенные дифференциальные уравнения - Московский центр непрерывного математического образования - 2012 - 341с. - ISBN: 978-5-4439-2007-8 - Текст электронный // ЭБС ЛАНЬ]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A little bit more :)&lt;br /&gt;
&lt;br /&gt;
* [https://www.math.hkust.edu.hk/~machas/differential-equations.pdf Jeffrey R. Chasnov, Differential Equations]&lt;br /&gt;
* [https://www.math.toronto.edu/selick/B44.pdf Toronto University DE course]&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая дополнительная литература ==&lt;br /&gt;
* [https://new.znanium.com/catalog/product/1028709 Высшая математика для экономистов: учебник для студентов вузов, обучающихся по экономическим специальностям / Н.Ш. Кремер (и др.) ; под ред. проф. Н.Ш. Кремера. - 3-е изд. - М. : ЮНИТИ-ДАНА, 2017. - 479 с. — (Серия «Золотой фонд российских учебников») - ISBN 978-5-238-00991-9.]&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=66739</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=66739"/>
		<updated>2022-03-05T17:00:16Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;&#039;: ... ====&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://disk.yandex.ru/i/WMkCYoHwNuEJ8w Home assignment 4], due on &amp;quot;March 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=66492</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=66492"/>
		<updated>2022-02-28T13:05:18Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV Passcode: !p.Aunz9], [https://youtu.be/pL1Ik524CFQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 28.02.2022&#039;&#039;&#039; Solving systems using JNF.&lt;br /&gt;
[https://zoom.us/rec/share/Js0LCnC10rFhr3NVv5TxkJckdsgZauhAs_7MngECU2n_nIy869lURey1VR9V7lbG.wOBFAI6WSQlfj2un Passcode: Ftd?4B%g], [https://youtu.be/M1_otZetNSo Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;&#039;: ... ====&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=66140</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=66140"/>
		<updated>2022-02-21T11:32:11Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Systems of linear DE.   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV  Passcode: !p.Aunz9]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;&#039;: ... ====&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=66137</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=66137"/>
		<updated>2022-02-21T11:16:10Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 21.02.2022&#039;&#039;&#039;. Variation of parameters method (2).   &lt;br /&gt;
[https://zoom.us/rec/share/KtIzDL2TYRx8afVP20M_B83KDQQfDGAcjcQiYuYeX3uKoZQHGItKxVZ__MLYWv8Q.vfDrnJkEW9nxTstV  Passcode: !p.Aunz9]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;&#039;: ... ====&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=66094</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=66094"/>
		<updated>2022-02-20T15:22:38Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^], [https://youtu.be/C811fCKcXnk Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;&#039;: ... ====&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EboBAdSRrvdPk3_lpkiSvekBy2OrM2pTzI40S9PC5l5nfg?e=CUnm8D Home assignment 3], due on &amp;quot;March 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=65851</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=65851"/>
		<updated>2022-02-14T10:30:30Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J],&lt;br /&gt;
[https://youtu.be/4XJTK4T9vNU Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 14.02.2022&#039;&#039;&#039;. Variation of parameters method. &lt;br /&gt;
[https://zoom.us/rec/share/80TTAi3jQRgpsKEBC94uhC5YK-W1LTcxkf1_mKXnYApFy2kHv2_DE8rnAtspC3I_.lmA7rDGGMTqjM6x6 Passcode: 48+rFgL^]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;&#039;: ... ====&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=65531</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=65531"/>
		<updated>2022-02-07T08:54:41Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 07.02.2022&#039;&#039;&#039;. Solutions of the nonhomogeneous equations with quasipolynomials.&lt;br /&gt;
[https://zoom.us/rec/share/0sTwSxwZfdRT_gAdUpOGbOOehTS_1DKREowEVRNDeVFGhln1QI5Us74a2LAmT4c.ytOxchVihKXby8tp Passcode: 5Pyyqf#J]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;&#039;: ... ====&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Data_Science_Case_Studies_(JD_SAS)_21/22&amp;diff=65285</id>
		<title>Data Science Case Studies (JD SAS) 21/22</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Data_Science_Case_Studies_(JD_SAS)_21/22&amp;diff=65285"/>
		<updated>2022-02-02T13:49:51Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
[[Файл:Capture.PNG|1000px|безрамки|справа]]&lt;br /&gt;
&lt;br /&gt;
=== Расписание занятий  ===&lt;br /&gt;
Занятия проводятся по &#039;&#039;&#039;субботам&#039;&#039;&#039;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Общая ссылка для всех лекций и семинаров:&#039;&#039;&#039; https://zoom.us/j/99220349786?pwd=WjFZTEFiQzA4b1lzVmVDbXdmNVMwUT09&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Идентификатор конференции: 992 2034 9786&amp;lt;br /&amp;gt;&lt;br /&gt;
Код доступа: 476860&amp;lt;br /&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;9:30&#039;&#039;&#039;&#039;&#039; - Семинар на русском - ФЭН 3 курс (совместно с БК ГК &amp;quot;Открытие&amp;quot;) &amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;11:10&#039;&#039;&#039;&#039;&#039; - Семинар на русском - ФЭН 4 курс (совместно с БК ГК &amp;quot;Открытие&amp;quot;)&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;13:00&#039;&#039;&#039;&#039;&#039; - Лекция на английском (запись) - ПАД и МИЭФ&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;14:40&#039;&#039;&#039;&#039;&#039; - Лекция на русском (запись) - ПМИ, ФЭН, МК&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;16:20&#039;&#039;&#039;&#039;&#039; - Семинар на русском (запись) - ПМИ и МК&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;18:10&#039;&#039;&#039;&#039;&#039; - Семинар на английском (запись) - ПАД1 и МИЭФ&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;19:40&#039;&#039;&#039;&#039;&#039; - Семинар на английском - ПАД2&amp;lt;br /&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
При посещении лекции и семинара в Zoom просим студентов &#039;&#039;&#039;сделать Rename&#039;&#039;&#039; и подписаться в формате «Префикс_Фамилия Имя», указав один из префиксов (МИЭФ, МК, ПАД, ПМИ, ФЭН). Например, «БИ_Иванов Алексей»&lt;br /&gt;
&lt;br /&gt;
=== О курсе ===&lt;br /&gt;
Данная страничка содержит ссылки на материалы по курсу в 2021/2022 учебном году на потоке образовательных программ : &lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
! Образовательная программа !! Курс !! Факультет !! Ссылка на страницу курса АДвБ &lt;br /&gt;
|-&lt;br /&gt;
| [https://cs.hse.ru/ami Прикладная Математика и Информатика] || 3 курс || Факультета Компьютерных Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/339498590 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/data/about Прикладной анализ данных] || 3 курс || Факультета Компьютерных Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/339492551 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/economics/ Экономика] || 3 курс || Факультета Экономических Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/470904614 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/economics/ Экономика] || 4 курс || Факультета Экономических Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/470904606 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/stat/ Экономика и статистика] || 3 курс || Факультета Экономических Наук НИУ ВШЭ || [https://www.hse.ru/edu/courses/470904618 Анализ данных в бизнесе] &lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/stat/ Экономика и статистика] || 4 курс || Факультета Экономических Наук НИУ ВШЭ || [https://www.hse.ru/edu/courses/470904610 Анализ данных в бизнесе] &lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/icef// Программа двух дипломов по экономике НИУ ВШЭ &amp;lt;br /&amp;gt;и Лондонского университета] || 3 курс || Международный институт экономики и финансов НИУ ВШЭ || нет&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
дополнительные ссылки:&lt;br /&gt;
*[https://cs.hse.ru/sas/ Базовая кафедра компании SAS на факультете компьютерных наук ВШЭ ]&lt;br /&gt;
*[https://cs.hse.ru/electives/sas_dscs Карточка курса и программа]&lt;br /&gt;
*[https://www.sas.com/ru_ru/home.html Сайт компании  SAS]&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;[https://www.sas.com/ru_ru/careers/internship-program.html Календарь стажерской программы на 2021/2022 год]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== Программа курса==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Первый модуль&#039;&#039;&#039; будет читаться для 3 и 4 курса - обзор разделов:&lt;br /&gt;
* 	Клиентская аналитика;&lt;br /&gt;
*       Текстовая аналитика;&lt;br /&gt;
* 	Задачи анализа данных в розничных сетях продаж товаров;&lt;br /&gt;
* 	Основы оценки рисков;&lt;br /&gt;
*       ModelOps.&lt;br /&gt;
&lt;br /&gt;
Первый модуль сможет погрузить студентов в актуальные задачи в бизнесе, а также в особенности анализа данных и построения аналитических моделей по каждому разделу модуля. &lt;br /&gt;
В этом модуле студентов познакомят с программным обеспечением SAS.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Второй модуль&#039;&#039;&#039; – командный проект только для 3 курса.&lt;br /&gt;
&lt;br /&gt;
Студенты будут разделены на группы по 2-7 человек и каждой группе будет дана практическая задача.&lt;br /&gt;
Данный модуль позволит получить студентам практический опыт в анализе данных, разработке и в построении аналитических моделей на реальных данных.&lt;br /&gt;
&lt;br /&gt;
== Studying and using SAS software in «Data Analytics in Business» course ==&lt;br /&gt;
&lt;br /&gt;
To perform practical tasks, a student is free of choice to pick any of the given software tools: SAS, R, Python.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Students who plan to perform practical tasks on SAS platform&#039;&#039;&#039;, may take advanced online courses for free.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;To access the course, you must contact the course instructor - Natalia Titova via Telegram.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Links to access the software SAS - &amp;lt;br /&amp;gt;&lt;br /&gt;
https://sas-viya.cs.hse.ru/SASStudioV/main?locale=en_US &amp;lt;br /&amp;gt;&lt;br /&gt;
https://sas-viya.cs.hse.ru/SASStudioV/main?locale=ru_RU&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;If a student has completed all the practical tasks on the SAS and passed the course with excellence&#039;&#039;&#039;, then he will receive:&lt;br /&gt;
*academic SAS program completion certificate&lt;br /&gt;
*Acclaim electronic badge confirming completion of the course and a list of technologies used by SAS&lt;br /&gt;
&lt;br /&gt;
All interested students can take basic SAS online courses for free:&lt;br /&gt;
*basics of programming on SAS Base [https://support.sas.com/edu/schedules.html?id=2588&amp;amp;ctry=RU link to the course]&lt;br /&gt;
*basics of statistical analysis using SAS software[https://support.sas.com/edu/schedules.html?id=5235&amp;amp;ctry=RU link to the course]&lt;br /&gt;
&lt;br /&gt;
Students who are willing to spend extra time learning to program in SAS can try to take a professional certification within the SCYP program for free (SAS® Software Certified Young Professionals) [https://www.sas.com/sas/training/scyp.html link to the course].&lt;br /&gt;
&lt;br /&gt;
== Лекции ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
  &#039;&#039;&#039;суббота      &#039;&#039;&#039;&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
&#039;&#039;&#039;      ПАД и МИЭФ - 13:00 - 14:30; &amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;ПМИ, Экономика, Экономика и статистика, МК - 14:40 - 16:10 &#039;&#039;&#039;&amp;lt;br /&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;ссылка на подключение к лекции&#039;&#039;&#039; - https://zoom.us/j/99220349786?pwd=WjFZTEFiQzA4b1lzVmVDbXdmNVMwUT09&amp;lt;br /&amp;gt;&lt;br /&gt;
Идентификатор конференции: 992 2034 9786&amp;lt;br /&amp;gt;&lt;br /&gt;
Код доступа: 476860&amp;lt;br /&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
! Название раздела !! Тема !! Дата для 3 и 4 курса !! Презентация!! Запись &lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Введение в клиентскую и онлайн аналитику || 15.01.2022  ||  || [https://drive.google.com/file/d/1nEbogpqbZBBrjOJy-sVmq4SdVn_svef6/view?usp=sharing Лекция №1 - рус]&lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Построение прогнозных моделей и визуализация данных || 22.01.2022  ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Введение в задачи анализа текстовых данных || 29.01.2022  ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Инструменты и методы текстовой аналитики || 05.02.2022 ||  ||  &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Введение в задачи анализа данных в ритейле. Прогнозирование спроса || 12.02.2022 || ||  &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Описательная аналитика в Ритейл: кластеризация магазинов, сегментация товаров, восстановление спроса|| 19.02.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Задачи оптимизации запасов товаров в ритейл-сети, оптимизация цен, оптимизация ассортимента  || 26.02.2022  ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в кредитные риски  || 5.03.2022   ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в рыночные риски || 12.03.2022   ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Валидация моделей || 19.03.2022   ||  || &lt;br /&gt;
|-&lt;br /&gt;
| ModelOps || Операционализация моделей машинного обучения || 26.03.2022  ||  || &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Семинары ==&lt;br /&gt;
&lt;br /&gt;
 &#039;&#039;&#039;суббота   &lt;br /&gt;
&#039;&#039;&#039;Группа ФЭН 3 курс - 9:30,&amp;lt;br /&amp;gt; Группы ФЭН 4 курс - 11:10,&amp;lt;br /&amp;gt; Группа ПМИ+МК - 16:20,&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Группа ПАД 1 и МИЭФ - 18:10,&amp;lt;br /&amp;gt; Группа ПАД 2  - 19:40&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ссылка на подключение к семинару&#039;&#039;&#039; - https://zoom.us/j/99220349786?pwd=WjFZTEFiQzA4b1lzVmVDbXdmNVMwUT09&amp;lt;br /&amp;gt;&lt;br /&gt;
Идентификатор конференции: 992 2034 9786&amp;lt;br /&amp;gt;&lt;br /&gt;
Код доступа: 476860&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ссылка на доп.материалы&#039;&#039;&#039; - [https://drive.google.com/drive/folders/1UNGRXQLbulMkvc-yexPHqZauGvwVJF17?usp=sharing к семинарским занятиям]&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Название раздела !! Тема !! Дата для ПМИ, ПАД, МИЭФ и МК !! Дата для ФЭН  !!  Презентация !! Запись &lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Введение в клиентскую и онлайн аналитику || 15.01.2022 || 22.01.2022 ||  || [https://drive.google.com/file/d/1j9-eoZSxLfprqsg_cpqnUfTNLwt_Rhpn/view?usp=sharing Семинар №1 - рус]&lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Построение прогнозных моделей и визуализация данных ||22.01.2022 || 29.01.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Введение в задачи анализа текстовых данных || 29.01.2022 || 05.02.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Инструменты и методы текстовой аналитики || 05.02.2022 || 12.02.2022 ||  ||&lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Введение в задачи анализа данных в ритейле. Прогнозирование спроса || 12.02.2022 || 19.02.2022 ||  ||  &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Описательная аналитика в Ритейл: кластеризация магазинов, сегментация товаров, восстановление спроса || 19.02.2022 || 26.02.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Задачи оптимизации запасов товаров в ритейл-сети, оптимизация цен, оптимизация ассортимента || 26.02.2022 || 5.03.2022 || || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в кредитные риски || 5.03.2022 || 12.03.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в рыночные риски || 12.03.2022 || 19.03.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Валидация моделей || 19.03.2022 || 26.03.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| ModelOps || Операционализация моделей машинного обучения || 26.03.2022 || 2.04.2022 ||  || &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Course report and grade evaluation ==&lt;br /&gt;
&lt;br /&gt;
The course includes several forms of knowledge control:&lt;br /&gt;
* 3 practical homework assignments &lt;br /&gt;
* Written exam, questions in the form of a test with multiple choice&lt;br /&gt;
* Team project (only for 3rd-year students)&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Criteria for assessing knowledge, skills&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*All homework assignments are graded on a 2-point scale, where «2» — task is fully completed, «1» — the task is not completely solved or with slight mistakes, «0» — task is not solved or solved incorrectly. &lt;br /&gt;
&lt;br /&gt;
In case if the homework is divided into several parts, then each part is evaluated on a 2-point scale as described above, and then the marks are averaged with equal weights without rounding.&lt;br /&gt;
&lt;br /&gt;
The transfer of grades for homework from a 2-point scale to a 10-point scale is done by means of multiplying the grade by 5 without any rounding.&lt;br /&gt;
&lt;br /&gt;
*The grade for the exam is set on a 10-point scale. &lt;br /&gt;
&lt;br /&gt;
*The grade for the team project is also set on a 10-point scale.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The order of the formation of grades for the discipline &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Let&#039;s denote the grades for 3 homework assignments on a 10-point scale —  &#039;&#039;&#039;O_1,O_2,O_3,&#039;&#039;&#039; and the grade for the exam at the end of the 1st module on a 10-point scale — &#039;&#039;&#039;O_ex&#039;&#039;&#039;. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The final grade for 4th-year students  &#039;&#039;&#039;O_final&#039;&#039;&#039; is evaluated by the  following formula&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;O_final = 0.225 * O_1 + 0.225 * O_2 + 0.225 * O_3 + 0.325 * O_ex&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The final grade for 3rd-year students in the 1st module &#039;&#039;&#039;O_mod&#039;&#039;&#039; is evaluated by the following formula&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;O_mod = 0.1 * O_1 + 0.1 * O_2 + 0.1 * O_3 + 0.2 * O_ex&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The grade for the project in the 2nd module &#039;&#039;&#039;O_prj&#039;&#039;&#039; is set on a 10-point scale by means of the project defense. &lt;br /&gt;
&lt;br /&gt;
The final grade &#039;&#039;&#039;O_final&#039;&#039;&#039; is defined by the formula &#039;&#039;&#039;O_final = O_mod + 0.5 * O_prj&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Rounding occurs only at the very end - in the final grade, i.e. arithmetic rounding.&lt;br /&gt;
 &lt;br /&gt;
Each task and exam is evaluated on a 10-point scale (fractional marks are allowed for tasks). For some tasks, it will be possible to receive bonus points, which will be announced when the task is issued.&lt;br /&gt;
&lt;br /&gt;
== Home assignments ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Home assignment #1&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The home task #1 consists of 2 parts:&lt;br /&gt;
&lt;br /&gt;
1. Data research and data processing for subsequent segmentation;&lt;br /&gt;
&lt;br /&gt;
2. Making customer profiles based on segmentations (use at least 2 segmentation methods).&lt;br /&gt;
&lt;br /&gt;
An example of a detailed description of Home assignment №1 2020-2021 with examples and results [https://drive.google.com/file/d/16WFqo1xfPvnlGLwyorWFGdiL2ZM8xp8D/view?usp=sharing read in the attached file]&lt;br /&gt;
&lt;br /&gt;
Each student chooses the version that is indicated opposite his name in the list&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/19HGjq6sUJ__0Cg0akOr7AIivKvIRh7ttas_9QE4Q3E0/edit?usp=sharing link]&lt;br /&gt;
&lt;br /&gt;
Versions and data description are presented [https://drive.google.com/open?id=1jxwwFMEHVh91ZKx5_PqnMSUlsICytIbI in the folder at the link]&lt;br /&gt;
&lt;br /&gt;
In order to receive an assessment, you need:&lt;br /&gt;
&lt;br /&gt;
1. Send an archive with files where all calculations were made and a cover letter with conclusions and comments on&lt;br /&gt;
each part:&lt;br /&gt;
&lt;br /&gt;
* Calculations can be done using code (python/sas/sql), pivot tables and formulas in excel or SAS Viya project;&lt;br /&gt;
* All conclusions must be supported by visually interpretable graphs and data.&lt;br /&gt;
&lt;br /&gt;
2. The archive (.zip) with the files must be sent to ntitova@hse.ru with the email subject “ФКН ВШЭ”&lt;br /&gt;
&lt;br /&gt;
3. The file name must be sent according to the template &amp;lt;First Name&amp;gt;_&amp;lt;Last name&amp;gt;_&amp;lt;group number&amp;gt;_hw1.zip.&lt;br /&gt;
&lt;br /&gt;
For example, Alexander_Sharipov_156_hw1&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade for Home assignment #1&#039;&#039;&#039; is given on a 10-point scale, where:&lt;br /&gt;
&lt;br /&gt;
&amp;quot;8-10&amp;quot; - the task is completely solved, all 2 parts of homework are completed:&lt;br /&gt;
* data analysis was carried out, a code is working, and tables for data research were provided;&lt;br /&gt;
* constructed segmentation by 2 methods;&lt;br /&gt;
* provided clear conclusions with confirmed data (tables, graphs);&lt;br /&gt;
&lt;br /&gt;
&amp;quot;6-7&amp;quot; - the task is solved incompletely or with shortcomings:&lt;br /&gt;
* data analysis was carried out, a working code and tables for data research were provided;&lt;br /&gt;
* built segmentation using at least one method;&lt;br /&gt;
* provided clear conclusions with confirmed data (tables, graphs);&lt;br /&gt;
&lt;br /&gt;
&amp;quot;4-5&amp;quot; - the task was solved with significant shortcomings,&lt;br /&gt;
* data analysis was carried out, a working code and tables for data research were provided;&lt;br /&gt;
* revealed top-level dependencies and patterns for customers without building a segmentation model;&lt;br /&gt;
&lt;br /&gt;
&amp;quot;0-3&amp;quot; - the task is not solved or solved incorrectly.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Deadline – 2 weeks (February 19, 2022 23:59).&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Home assignment #2&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Description of Home assignment #2 is in the file [https://drive.google.com/file/d/1R6BLH40CLk7uewRn02JlGj64Ov2peJgK/view?usp=sharing link]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Deadline - March 12, 2022 23:59.&#039;&#039; &lt;br /&gt;
Solutions should be sent to aromanenko@hse.ru&lt;br /&gt;
&lt;br /&gt;
The subject of the letter must contain the following: HSE + Course number + version_number + full name.&lt;br /&gt;
&lt;br /&gt;
The file name must include:&lt;br /&gt;
&lt;br /&gt;
*Course number&lt;br /&gt;
*Version number&lt;br /&gt;
*Full name&lt;br /&gt;
&lt;br /&gt;
Example: &amp;quot;ПМИ_3курс_Вариант_8_IvanovIvanIvanovich&amp;quot;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Home assignment #3&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
It is necessary to build a scoring model that assesses the probability of a client default at the stage of making a loan application. &lt;br /&gt;
To do this you need:&lt;br /&gt;
&lt;br /&gt;
0. Download data from the link https://drive.google.com/drive/u/0/folders/16CMyPnLu7Fv7IgsYOZimQK-7MaFZEWEZ&lt;br /&gt;
&lt;br /&gt;
Each student selects 2 data samples &amp;quot;accept&amp;quot; and &amp;quot;reject&amp;quot;, which start with the student&#039;s HW version. &lt;br /&gt;
Version numbers for HW #3 must be taken the same as for HW #1.&lt;br /&gt;
&lt;br /&gt;
The completed task must be sent in the following form:&lt;br /&gt;
&lt;br /&gt;
1) File/scripts with built models (there must be comments, without comments the task is considered as unresolved)&lt;br /&gt;
&lt;br /&gt;
2) Excel file with answers to the following questions:&lt;br /&gt;
&lt;br /&gt;
1. What is the proportion of 1 in the &amp;quot;accept&amp;quot; sample?&lt;br /&gt;
&lt;br /&gt;
2. It is necessary to calculate the following for all interval variables:&lt;br /&gt;
 - Proportion of missing values&lt;br /&gt;
 - Median&lt;br /&gt;
 - Mean&lt;br /&gt;
 - Standard deviation&lt;br /&gt;
 - Are there any abnormal values, outliers?&lt;br /&gt;
 - Information Value&lt;br /&gt;
3. It is necessary to calculate for all categorical variables the following:&lt;br /&gt;
 - Mode&lt;br /&gt;
 - Proportion of missing values&lt;br /&gt;
 - Information Value&lt;br /&gt;
 - Are there outliers, abnormal values?&lt;br /&gt;
4. Build logistic regression only on approved applications with transformed WoE variables. What is the meaning of GINI? F1 measure?&lt;br /&gt;
&lt;br /&gt;
5. Conduct a Reject Inference analysis. What is the percentage of rejected applications?&lt;br /&gt;
&lt;br /&gt;
6. Build a logistic regression on all applications with transformed WoE variables. What GINI, F1 mean? Has the model changed?&lt;br /&gt;
&lt;br /&gt;
7. What model would you recommend for implementation in a productive environment? Give a detailed explanation&lt;br /&gt;
&lt;br /&gt;
Assessment for HW #3 is set on a 2-point scale, where &amp;quot;2&amp;quot; - the task is solved completely, &amp;quot;1&amp;quot; - the task is not completely solved or with shortcomings, &amp;quot;0&amp;quot; - the task is not solved or solved incorrectly. &lt;br /&gt;
The transfer of grades for homework from a 2-point scale to a 10-point scale is carried out by multiplying the grade by 5 without rounding.&lt;br /&gt;
&lt;br /&gt;
For HW #3, marks will be given: &lt;br /&gt;
&amp;quot;2&amp;quot; - the model is correctly built on both the accept and reject samples. Correct answers given. &lt;br /&gt;
&amp;quot;1.6&amp;quot; - the model is correctly built both on the accept sample and on the reject sample. 50% of answers are correct. &lt;br /&gt;
&amp;quot;1.4&amp;quot; - the model is correctly built both on the accept sample and on the reject sample. Wrong answers are given. &lt;br /&gt;
&amp;quot;1&amp;quot; are given - the model is built only on the accept sample. &lt;br /&gt;
&amp;quot;0.8&amp;quot; - the task is not completely solved. 50% of answers are correct. &lt;br /&gt;
&amp;quot;0&amp;quot; - the task is not solved or solved incorrectly.&lt;br /&gt;
&lt;br /&gt;
Deadline - until 26.03.2022 inclusive&lt;br /&gt;
&lt;br /&gt;
Decisions should be sent to msvorobeva@hse.ru &lt;br /&gt;
The subject of the letter must contain the following: HSE + Course number + version_number + full name.&lt;br /&gt;
&lt;br /&gt;
The file name must include:&lt;br /&gt;
&lt;br /&gt;
*Course number&lt;br /&gt;
*Version number&lt;br /&gt;
*Full name&lt;br /&gt;
&lt;br /&gt;
Example: &amp;quot;ПМИ_3курс_Вариант_8_IvanovIvanIvanovich&amp;quot;&lt;br /&gt;
&lt;br /&gt;
If the works will repeat each other, both works will be considered unresolved.&lt;br /&gt;
&lt;br /&gt;
== Командный проект для 3 курса ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Выбор темы для командного проекта по курсу &amp;quot;Анализ данных в бизнесе&amp;quot; &#039;&#039;&#039;&lt;br /&gt;
 &lt;br /&gt;
Студенты делятся на группы по 3 человека. В дальнейшем 2-3 группы могут соединить в одну. Внутри группы должен быть определен капитан команды - ответственное лицо группы. &lt;br /&gt;
&lt;br /&gt;
Ответственное лицо отвечает за выполнение и результат следующих основных функций:&lt;br /&gt;
*  отправка заявки на тему проекта и согласование темы проекта от лица всей группы с преподавателями;&lt;br /&gt;
*  предоставление информации куратору о текущем статусе проекта: учет, распределение и контроль выполнения задания по проекту;&lt;br /&gt;
*  отправка отчетов, презентаций, технической документации по выполненными работам группы в электронном виде.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Описания тем проектов: [https://docs.google.com/document/d/1p_gECsEVi95_3-WW2eBJaA3yEGCJBzejDILSkPQDX7c/edit?usp=sharing ссылка на файл]&lt;br /&gt;
&lt;br /&gt;
Ссылка на форму подачи заявки на тему: [https://forms.gle/QG2SwvYZ5tN2Pwow5 ссылка на файл]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Сроки выбора тем:&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;До 17 апреля группа должна  выбрать две темы из указанного списка&#039;&#039;&#039;, указав первый и второй приоритет для этих тем.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;18 апреля - каждой группе, которая подала заявку на проект, через указанную форму, будет назначена тема проекта и куратор.&#039;&#039;&#039; При назначении тем будут учитываться приоритеты указанные студентами, а также средний балл студентов в группе по первому модулю курса. На одну тему назначается не более 3-х групп студентов.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
При возникновении вопросов пишите в Telegram Титовой Наталии.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Итогом каждого проекта должна быть презентация результатов проекта на 10-15 минут. &lt;br /&gt;
&lt;br /&gt;
Защита проекта для ПАД и МИЭФ будет в середине мая  (17-22 мая), а также для всех желающих, которые готовы будут защититься. &lt;br /&gt;
&lt;br /&gt;
Финальная защита для ПМИ, ФЭН  пройдет в середине июня (15-19 июня) до начала сессии. &lt;br /&gt;
&lt;br /&gt;
Оценка за проект во втором модуле выставляется по 10-балльной шкале по итогам защиты проекта.&lt;br /&gt;
&lt;br /&gt;
Те студенты, которые не нашли себе группу  тоже подают заявку на тему, но на одного себя. Мы сами соединим с группой по схожей теме.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Даты защиты учебных проектов в 4 модуле:&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Защиты проектов пройдут с 17 по 19 июня 2021 года.&lt;br /&gt;
&lt;br /&gt;
В файле по ссылке вы найдете список проектных групп с привязкой к дате и времени защиты, а так же ссылки для подключения к самим защитам. &lt;br /&gt;
&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/127uq1MwiwZlPahfLj1AwBAuxMdpp44EM6hlYiLnYKyI/edit?usp=sharing Командные проекты - даты защит по группам и ссылки на подключение.]&lt;br /&gt;
&lt;br /&gt;
== How to ask a question about the course ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Questions&#039;&#039;&#039; about the course can be asked in the telegram chat of the course, the course professor Natalia Titova @Natalitics or the manager of the SAS department Tatiana Lobok @tatianalobok (tlobok@hse.ru).&lt;br /&gt;
&lt;br /&gt;
Telegram channel for announcements: https://t.me/+Lj-yHhfNJTQxYWEy&lt;br /&gt;
&lt;br /&gt;
Chat in telegram for discussions: https://t.me/+a1VMTe2xwNA5Mzcy&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; All announcements and course materials will be posted in the telegram chat and in the telegram channel! &#039;&#039;&#039;&lt;br /&gt;
There are professors in the chat, but not always.&lt;br /&gt;
For all important questions, you should write to Natalia Titova in the telegram chat @Natalitics or mail Natalia.Titova@sas.com. Be sure to add the tag [ПМИ ФКН ВШЭ/ПАД ФКН ВШЭ/МИЭФ ФКН ВШЭ/Эк ФЭН ВШЭ/ЭкСт ФЭН ВШЭ] to the title of the letter, and also indicate your last name and first name.&lt;br /&gt;
&lt;br /&gt;
All files provided are intended for use by students during their studies and are updated throughout the year.&lt;br /&gt;
If you find any typos, inaccuracies, malfunctions of the page, please send email tlobok@hse.ru.&lt;br /&gt;
&lt;br /&gt;
== Материалы по курсу ==&lt;br /&gt;
&#039;&#039;&#039;Документы и программа курса&#039;&#039;&#039;  &lt;br /&gt;
&#039;&#039;Внимание: файлы обновляются!&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*Рабочая программа дисциплины для 3 и 4 курса можно найти по следующей [https://docs.google.com/document/d/1Sh-KjlZlAmk1kIEndmM7mF7nAj6iL6ZI/edit?usp=sharing&amp;amp;ouid=109416058723510784590&amp;amp;rtpof=true&amp;amp;sd=true ссылке]. &lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;[https://drive.google.com/open?id=1J7MHkux4wBq828_6Lg3trCmkxdutXV1K Инструкция по подключению к SAS OnDemand  и скачиванию ПО SAS]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*[https://drive.google.com/open?id=1ANDlimb5hp4ds0sUcReR6xq5sVrcX5n9 Лекции и семинары]  &#039;&#039;Внимание: файлы в папке обновляются!&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая литература и полезные дополнительные материалы ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Полезные материалы&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*[https://support.sas.com/en/software/enterprise-guide.html#freetutorials Обучающий портал с дополнительной литературой для работы с SAS Enterprise Guide]&lt;br /&gt;
*[https://habr.com/company/sas/blog/ Блок компании  SAS  на хабре (Основы программирования на SAS Base)]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Полезная литература&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;К разделу 1:&#039;&#039;&lt;br /&gt;
*[https://www.sas.com/store/books/categories/business-concepts-leadership/data-mining-techniques-for-marketing-sales-and-customer-relationship-management-third-edition/prodBK_64447_en.html Data Mining Techniques: For Marketing, Sales, and Customer Relationship Management, Third Edition Michael J. A. Berry Gordon S. Linoff ]&lt;br /&gt;
*[https://www.springer.com/gp/book/9780387725789  Database Marketing. Analyzing and Managing Customers, Blattberg, Robert C., Kim, Byung-Do, Neslin, Scott A. ]&lt;br /&gt;
&lt;br /&gt;
*[http://10k.inc.hse.ru/files/McKINSEY_GUIDE_to_business_plan.pdf LeSueur J. (2007) McKinsey&amp;amp;Company  (2000) How to write a business plan.]&lt;br /&gt;
*[http://support.sas.com/resources/papers/proceedings12/286-2012.pdf	Shive W. and Mouton D. (2012) Improving Retail Decisions with Customer Analytics: Leveragin Actionable Customer Insights across the Retail Enterprise to Build Sales and Profits. Paper 286-2012, SAS Institute, Inc]&lt;br /&gt;
*[http://support.sas.com/resources/papers/proceedings17/SAS0733-2017.pdf	Baer D. (2017) Using Segmentation to Build More Powerful Models with SAS® Visual Analytics. Paper 733-2017, SAS Institute, Inc. ]&lt;br /&gt;
*К. Уолш (2000) Ключевые показатели менеджмента: как анализировать, сравнивать и контролировать данные, определяющие стоимость компании. М.: Дело.	- Есть в  открытом доступе.&lt;br /&gt;
*[http://kaplan-publishing.kaplan.co.uk/cima/p2/pages/study-text.aspx Kaplan Publishing (2018) CIMA P2 Study Text. Advanced Management Accounting.]&lt;br /&gt;
*[http://support.sas.com/resources/papers/proceedings12/286-2012.pdf Shive W. and Mouton D. (2012) Improving Retail Decisions with Customer Analytics: Leveragin Actionable Customer Insights across the Retail Enterprise to Build Sales and Profits. Paper 2862012, SAS Institute, Inc., Cary, NC]&lt;br /&gt;
*[https://support.sas.com/resources/papers/proceedings16/SAS6222-2016.pdf Baer D. and Grover S. (2016) Enhanced Segmentation Using SAS® Visual Analytics and SAS® Visual Statistics. Paper 6222-2016, SAS Institute, Inc., Cary, NC.]&lt;br /&gt;
&lt;br /&gt;
*[https://support.sas.com/documentation/cdl/en/vaamgs/71329/PDF/default/vaamgs.pdf SAS Documentation (2015). SAS® Visual Analytics 7.2, 7.3,and 7.4: Getting Started with Analytical Models]&lt;br /&gt;
*[https://support.sas.com/documentation/cdl/en/vaug/68648/HTML/default/viewer.htm#n0lfkxxrf3zhugn14g96lr8spatc.htm SAS(R) Visual Analytics 7.3: User&#039;s Guide]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;К разделу 2:&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
* Шапиро Дж (2006). Моделирование цепи поставок. Питер. Серия «Теория менеджмента».&lt;br /&gt;
* Tijms H.C., Groenevelt H. (1984). Simple approximations for the reorder point in periodic and continuous review (s, S) inventory systems with service level constraints. European Journal of Operational Research, Vol. 17, Issue 2, August 1984, Pages 175-190.]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;К разделу 3:&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
* Christoffersen P. (2012) Elements of Financial Risk Management. 2nd ed. Elseiver Academic Press.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;К разделу 4:&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
* Мортон С. (2016) Лаборатория презентаций. Формула идеального выступления. Альпина Паблишер.&lt;br /&gt;
&lt;br /&gt;
== Контакты  ==&lt;br /&gt;
&lt;br /&gt;
[[Файл:Титова Наталья Николаевна.jpg|микро|70px|безрамки|слева]] &#039;&#039;&#039;Титова Наталия Николаевна&#039;&#039;&#039; - старший преподаватель &lt;br /&gt;
Natalia.Titova@sas.com&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Файл:Лобок Татьяна Сергеевна.jpg|микро|70px|безрамки|слева]] &#039;&#039;&#039;Лобок Татьяна Сергеевна&#039;&#039;&#039; - менеджер базовой кафедры SAS&lt;br /&gt;
tlobok@hse.ru&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Data_Science_Case_Studies_(JD_SAS)_21/22&amp;diff=65284</id>
		<title>Data Science Case Studies (JD SAS) 21/22</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Data_Science_Case_Studies_(JD_SAS)_21/22&amp;diff=65284"/>
		<updated>2022-02-02T13:49:07Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
[[Файл:Capture.PNG|1000px|безрамки|справа]]&lt;br /&gt;
&lt;br /&gt;
=== Расписание занятий  ===&lt;br /&gt;
Занятия проводятся по &#039;&#039;&#039;субботам&#039;&#039;&#039;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Общая ссылка для всех лекций и семинаров:&#039;&#039;&#039; https://zoom.us/j/99220349786?pwd=WjFZTEFiQzA4b1lzVmVDbXdmNVMwUT09&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Идентификатор конференции: 992 2034 9786&amp;lt;br /&amp;gt;&lt;br /&gt;
Код доступа: 476860&amp;lt;br /&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;9:30&#039;&#039;&#039;&#039;&#039; - Семинар на русском - ФЭН 3 курс (совместно с БК ГК &amp;quot;Открытие&amp;quot;) &amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;11:10&#039;&#039;&#039;&#039;&#039; - Семинар на русском - ФЭН 4 курс (совместно с БК ГК &amp;quot;Открытие&amp;quot;)&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;13:00&#039;&#039;&#039;&#039;&#039; - Лекция на английском (запись) - ПАД и МИЭФ&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;14:40&#039;&#039;&#039;&#039;&#039; - Лекция на русском (запись) - ПМИ, ФЭН, МК&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;16:20&#039;&#039;&#039;&#039;&#039; - Семинар на русском (запись) - ПМИ и МК&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;18:10&#039;&#039;&#039;&#039;&#039; - Семинар на английском (запись) - ПАД1 и МИЭФ&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;19:40&#039;&#039;&#039;&#039;&#039; - Семинар на английском - ПАД2&amp;lt;br /&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
При посещении лекции и семинара в Zoom просим студентов &#039;&#039;&#039;сделать Rename&#039;&#039;&#039; и подписаться в формате «Префикс_Фамилия Имя», указав один из префиксов (МИЭФ, МК, ПАД, ПМИ, ФЭН). Например, «БИ_Иванов Алексей»&lt;br /&gt;
&lt;br /&gt;
=== О курсе ===&lt;br /&gt;
Данная страничка содержит ссылки на материалы по курсу в 2021/2022 учебном году на потоке образовательных программ : &lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
! Образовательная программа !! Курс !! Факультет !! Ссылка на страницу курса АДвБ &lt;br /&gt;
|-&lt;br /&gt;
| [https://cs.hse.ru/ami Прикладная Математика и Информатика] || 3 курс || Факультета Компьютерных Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/339498590 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/data/about Прикладной анализ данных] || 3 курс || Факультета Компьютерных Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/339492551 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/economics/ Экономика] || 3 курс || Факультета Экономических Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/470904614 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/economics/ Экономика] || 4 курс || Факультета Экономических Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/470904606 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/stat/ Экономика и статистика] || 3 курс || Факультета Экономических Наук НИУ ВШЭ || [https://www.hse.ru/edu/courses/470904618 Анализ данных в бизнесе] &lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/stat/ Экономика и статистика] || 4 курс || Факультета Экономических Наук НИУ ВШЭ || [https://www.hse.ru/edu/courses/470904610 Анализ данных в бизнесе] &lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/icef// Программа двух дипломов по экономике НИУ ВШЭ &amp;lt;br /&amp;gt;и Лондонского университета] || 3 курс || Международный институт экономики и финансов НИУ ВШЭ || нет&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
дополнительные ссылки:&lt;br /&gt;
*[https://cs.hse.ru/sas/ Базовая кафедра компании SAS на факультете компьютерных наук ВШЭ ]&lt;br /&gt;
*[https://cs.hse.ru/electives/sas_dscs Карточка курса и программа]&lt;br /&gt;
*[https://www.sas.com/ru_ru/home.html Сайт компании  SAS]&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;[https://www.sas.com/ru_ru/careers/internship-program.html Календарь стажерской программы на 2021/2022 год]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== Программа курса==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Первый модуль&#039;&#039;&#039; будет читаться для 3 и 4 курса - обзор разделов:&lt;br /&gt;
* 	Клиентская аналитика;&lt;br /&gt;
*       Текстовая аналитика;&lt;br /&gt;
* 	Задачи анализа данных в розничных сетях продаж товаров;&lt;br /&gt;
* 	Основы оценки рисков;&lt;br /&gt;
*       ModelOps.&lt;br /&gt;
&lt;br /&gt;
Первый модуль сможет погрузить студентов в актуальные задачи в бизнесе, а также в особенности анализа данных и построения аналитических моделей по каждому разделу модуля. &lt;br /&gt;
В этом модуле студентов познакомят с программным обеспечением SAS.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Второй модуль&#039;&#039;&#039; – командный проект только для 3 курса.&lt;br /&gt;
&lt;br /&gt;
Студенты будут разделены на группы по 2-7 человек и каждой группе будет дана практическая задача.&lt;br /&gt;
Данный модуль позволит получить студентам практический опыт в анализе данных, разработке и в построении аналитических моделей на реальных данных.&lt;br /&gt;
&lt;br /&gt;
== Studying and using SAS software in «Data Analytics in Business» course ==&lt;br /&gt;
&lt;br /&gt;
To perform practical tasks, a student is free of choice to pick any of the given software tools: SAS, R, Python.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Students who plan to perform practical tasks on SAS platform&#039;&#039;&#039;, may take advanced online courses for free.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;To access the course, you must contact the course instructor - Natalia Titova via Telegram.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Links to access the software SAS - &amp;lt;br /&amp;gt;&lt;br /&gt;
https://sas-viya.cs.hse.ru/SASStudioV/main?locale=en_US &amp;lt;br /&amp;gt;&lt;br /&gt;
https://sas-viya.cs.hse.ru/SASStudioV/main?locale=ru_RU&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;If a student has completed all the practical tasks on the SAS and passed the course with excellence&#039;&#039;&#039;, then he will receive:&lt;br /&gt;
*academic SAS program completion certificate&lt;br /&gt;
*Acclaim electronic badge confirming completion of the course and a list of technologies used by SAS&lt;br /&gt;
&lt;br /&gt;
All interested students can take basic SAS online courses for free:&lt;br /&gt;
*basics of programming on SAS Base [https://support.sas.com/edu/schedules.html?id=2588&amp;amp;ctry=RU link to the course]&lt;br /&gt;
*basics of statistical analysis using SAS software[https://support.sas.com/edu/schedules.html?id=5235&amp;amp;ctry=RU link to the course]&lt;br /&gt;
&lt;br /&gt;
Students who are willing to spend extra time learning to program in SAS can try to take a professional certification within the SCYP program for free (SAS® Software Certified Young Professionals) [https://www.sas.com/sas/training/scyp.html link to the course].&lt;br /&gt;
&lt;br /&gt;
== Лекции ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
  &#039;&#039;&#039;суббота      &#039;&#039;&#039;&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
&#039;&#039;&#039;      ПАД и МИЭФ - 13:00 - 14:30; &amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;ПМИ, Экономика, Экономика и статистика, МК - 14:40 - 16:10 &#039;&#039;&#039;&amp;lt;br /&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;ссылка на подключение к лекции&#039;&#039;&#039; - https://zoom.us/j/99220349786?pwd=WjFZTEFiQzA4b1lzVmVDbXdmNVMwUT09&amp;lt;br /&amp;gt;&lt;br /&gt;
Идентификатор конференции: 992 2034 9786&amp;lt;br /&amp;gt;&lt;br /&gt;
Код доступа: 476860&amp;lt;br /&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
! Название раздела !! Тема !! Дата для 3 и 4 курса !! Презентация!! Запись &lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Введение в клиентскую и онлайн аналитику || 15.01.2022  ||  || [https://drive.google.com/file/d/1nEbogpqbZBBrjOJy-sVmq4SdVn_svef6/view?usp=sharing Лекция №1 - рус]&lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Построение прогнозных моделей и визуализация данных || 22.01.2022  ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Введение в задачи анализа текстовых данных || 29.01.2022  ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Инструменты и методы текстовой аналитики || 05.02.2022 ||  ||  &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Введение в задачи анализа данных в ритейле. Прогнозирование спроса || 12.02.2022 || ||  &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Описательная аналитика в Ритейл: кластеризация магазинов, сегментация товаров, восстановление спроса|| 19.02.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Задачи оптимизации запасов товаров в ритейл-сети, оптимизация цен, оптимизация ассортимента  || 26.02.2022  ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в кредитные риски  || 5.03.2022   ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в рыночные риски || 12.03.2022   ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Валидация моделей || 19.03.2022   ||  || &lt;br /&gt;
|-&lt;br /&gt;
| ModelOps || Операционализация моделей машинного обучения || 26.03.2022  ||  || &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Семинары ==&lt;br /&gt;
&lt;br /&gt;
 &#039;&#039;&#039;суббота   &lt;br /&gt;
&#039;&#039;&#039;Группа ФЭН 3 курс - 9:30,&amp;lt;br /&amp;gt; Группы ФЭН 4 курс - 11:10,&amp;lt;br /&amp;gt; Группа ПМИ+МК - 16:20,&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Группа ПАД 1 и МИЭФ - 18:10,&amp;lt;br /&amp;gt; Группа ПАД 2  - 19:40&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ссылка на подключение к семинару&#039;&#039;&#039; - https://zoom.us/j/99220349786?pwd=WjFZTEFiQzA4b1lzVmVDbXdmNVMwUT09&amp;lt;br /&amp;gt;&lt;br /&gt;
Идентификатор конференции: 992 2034 9786&amp;lt;br /&amp;gt;&lt;br /&gt;
Код доступа: 476860&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ссылка на доп.материалы&#039;&#039;&#039; - [https://drive.google.com/drive/folders/1UNGRXQLbulMkvc-yexPHqZauGvwVJF17?usp=sharing к семинарским занятиям]&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Название раздела !! Тема !! Дата для ПМИ, ПАД, МИЭФ и МК !! Дата для ФЭН  !!  Презентация !! Запись &lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Введение в клиентскую и онлайн аналитику || 15.01.2022 || 22.01.2022 ||  || [https://drive.google.com/file/d/1j9-eoZSxLfprqsg_cpqnUfTNLwt_Rhpn/view?usp=sharing Семинар №1 - рус]&lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Построение прогнозных моделей и визуализация данных ||22.01.2022 || 29.01.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Введение в задачи анализа текстовых данных || 29.01.2022 || 05.02.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Инструменты и методы текстовой аналитики || 05.02.2022 || 12.02.2022 ||  ||&lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Введение в задачи анализа данных в ритейле. Прогнозирование спроса || 12.02.2022 || 19.02.2022 ||  ||  &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Описательная аналитика в Ритейл: кластеризация магазинов, сегментация товаров, восстановление спроса || 19.02.2022 || 26.02.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Задачи оптимизации запасов товаров в ритейл-сети, оптимизация цен, оптимизация ассортимента || 26.02.2022 || 5.03.2022 || || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в кредитные риски || 5.03.2022 || 12.03.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в рыночные риски || 12.03.2022 || 19.03.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Валидация моделей || 19.03.2022 || 26.03.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| ModelOps || Операционализация моделей машинного обучения || 26.03.2022 || 2.04.2022 ||  || &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Course report and grade evaluation ==&lt;br /&gt;
&lt;br /&gt;
The course includes several forms of knowledge control:&lt;br /&gt;
* 3 practical homework assignments &lt;br /&gt;
* Written exam, questions in the form of a test with multiple choice&lt;br /&gt;
* Team project (only for 3rd-year students)&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Criteria for assessing knowledge, skills&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*All homework assignments are graded on a 2-point scale, where «2» — task is fully completed, «1» — the task is not completely solved or with slight mistakes, «0» — task is not solved or solved incorrectly. &lt;br /&gt;
&lt;br /&gt;
In case if the homework is divided into several parts, then each part is evaluated on a 2-point scale as described above, and then the marks are averaged with equal weights without rounding.&lt;br /&gt;
&lt;br /&gt;
Перевод оценки за домашние задания из 2-балльной шкалы в 10-балльную проводится путём умножения оценки на 5 без округления. &lt;br /&gt;
The transfer of grades for homework from a 2-point scale to a 10-point scale is done by means of multiplying the grade by 5 without any rounding.&lt;br /&gt;
&lt;br /&gt;
*The grade for the exam is set on a 10-point scale. &lt;br /&gt;
&lt;br /&gt;
*The grade for the team project is also set on a 10-point scale.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The order of the formation of grades for the discipline &#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Let&#039;s denote the grades for 3 homework assignments on a 10-point scale —  &#039;&#039;&#039;O_1,O_2,O_3,&#039;&#039;&#039; and the grade for the exam at the end of the 1st module on a 10-point scale — &#039;&#039;&#039;O_ex&#039;&#039;&#039;. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The final grade for 4th-year students  &#039;&#039;&#039;O_final&#039;&#039;&#039; is evaluated by the  following formula&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;O_final = 0.225 * O_1 + 0.225 * O_2 + 0.225 * O_3 + 0.325 * O_ex&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The final grade for 3rd-year students in the 1st module &#039;&#039;&#039;O_mod&#039;&#039;&#039; is evaluated by the following formula&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;O_mod = 0.1 * O_1 + 0.1 * O_2 + 0.1 * O_3 + 0.2 * O_ex&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The grade for the project in the 2nd module &#039;&#039;&#039;O_prj&#039;&#039;&#039; is set on a 10-point scale by means of the project defense. &lt;br /&gt;
&lt;br /&gt;
The final grade &#039;&#039;&#039;O_final&#039;&#039;&#039; is defined by the formula &#039;&#039;&#039;O_final = O_mod + 0.5 * O_prj&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Rounding occurs only at the very end - in the final grade, i.e. arithmetic rounding.&lt;br /&gt;
 &lt;br /&gt;
Each task and exam is evaluated on a 10-point scale (fractional marks are allowed for tasks). For some tasks, it will be possible to receive bonus points, which will be announced when the task is issued.&lt;br /&gt;
&lt;br /&gt;
== Home assignments ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Home assignment #1&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The home task #1 consists of 2 parts:&lt;br /&gt;
&lt;br /&gt;
1. Data research and data processing for subsequent segmentation;&lt;br /&gt;
&lt;br /&gt;
2. Making customer profiles based on segmentations (use at least 2 segmentation methods).&lt;br /&gt;
&lt;br /&gt;
An example of a detailed description of Home assignment №1 2020-2021 with examples and results [https://drive.google.com/file/d/16WFqo1xfPvnlGLwyorWFGdiL2ZM8xp8D/view?usp=sharing read in the attached file]&lt;br /&gt;
&lt;br /&gt;
Each student chooses the version that is indicated opposite his name in the list&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/19HGjq6sUJ__0Cg0akOr7AIivKvIRh7ttas_9QE4Q3E0/edit?usp=sharing link]&lt;br /&gt;
&lt;br /&gt;
Versions and data description are presented [https://drive.google.com/open?id=1jxwwFMEHVh91ZKx5_PqnMSUlsICytIbI in the folder at the link]&lt;br /&gt;
&lt;br /&gt;
In order to receive an assessment, you need:&lt;br /&gt;
&lt;br /&gt;
1. Send an archive with files where all calculations were made and a cover letter with conclusions and comments on&lt;br /&gt;
each part:&lt;br /&gt;
&lt;br /&gt;
* Calculations can be done using code (python/sas/sql), pivot tables and formulas in excel or SAS Viya project;&lt;br /&gt;
* All conclusions must be supported by visually interpretable graphs and data.&lt;br /&gt;
&lt;br /&gt;
2. The archive (.zip) with the files must be sent to ntitova@hse.ru with the email subject “ФКН ВШЭ”&lt;br /&gt;
&lt;br /&gt;
3. The file name must be sent according to the template &amp;lt;First Name&amp;gt;_&amp;lt;Last name&amp;gt;_&amp;lt;group number&amp;gt;_hw1.zip.&lt;br /&gt;
&lt;br /&gt;
For example, Alexander_Sharipov_156_hw1&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade for Home assignment #1&#039;&#039;&#039; is given on a 10-point scale, where:&lt;br /&gt;
&lt;br /&gt;
&amp;quot;8-10&amp;quot; - the task is completely solved, all 2 parts of homework are completed:&lt;br /&gt;
* data analysis was carried out, a code is working, and tables for data research were provided;&lt;br /&gt;
* constructed segmentation by 2 methods;&lt;br /&gt;
* provided clear conclusions with confirmed data (tables, graphs);&lt;br /&gt;
&lt;br /&gt;
&amp;quot;6-7&amp;quot; - the task is solved incompletely or with shortcomings:&lt;br /&gt;
* data analysis was carried out, a working code and tables for data research were provided;&lt;br /&gt;
* built segmentation using at least one method;&lt;br /&gt;
* provided clear conclusions with confirmed data (tables, graphs);&lt;br /&gt;
&lt;br /&gt;
&amp;quot;4-5&amp;quot; - the task was solved with significant shortcomings,&lt;br /&gt;
* data analysis was carried out, a working code and tables for data research were provided;&lt;br /&gt;
* revealed top-level dependencies and patterns for customers without building a segmentation model;&lt;br /&gt;
&lt;br /&gt;
&amp;quot;0-3&amp;quot; - the task is not solved or solved incorrectly.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Deadline – 2 weeks (February 19, 2022 23:59).&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Home assignment #2&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Description of Home assignment #2 is in the file [https://drive.google.com/file/d/1R6BLH40CLk7uewRn02JlGj64Ov2peJgK/view?usp=sharing link]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Deadline - March 12, 2022 23:59.&#039;&#039; &lt;br /&gt;
Solutions should be sent to aromanenko@hse.ru&lt;br /&gt;
&lt;br /&gt;
The subject of the letter must contain the following: HSE + Course number + version_number + full name.&lt;br /&gt;
&lt;br /&gt;
The file name must include:&lt;br /&gt;
&lt;br /&gt;
*Course number&lt;br /&gt;
*Version number&lt;br /&gt;
*Full name&lt;br /&gt;
&lt;br /&gt;
Example: &amp;quot;ПМИ_3курс_Вариант_8_IvanovIvanIvanovich&amp;quot;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Home assignment #3&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
It is necessary to build a scoring model that assesses the probability of a client default at the stage of making a loan application. &lt;br /&gt;
To do this you need:&lt;br /&gt;
&lt;br /&gt;
0. Download data from the link https://drive.google.com/drive/u/0/folders/16CMyPnLu7Fv7IgsYOZimQK-7MaFZEWEZ&lt;br /&gt;
&lt;br /&gt;
Each student selects 2 data samples &amp;quot;accept&amp;quot; and &amp;quot;reject&amp;quot;, which start with the student&#039;s HW version. &lt;br /&gt;
Version numbers for HW #3 must be taken the same as for HW #1.&lt;br /&gt;
&lt;br /&gt;
The completed task must be sent in the following form:&lt;br /&gt;
&lt;br /&gt;
1) File/scripts with built models (there must be comments, without comments the task is considered as unresolved)&lt;br /&gt;
&lt;br /&gt;
2) Excel file with answers to the following questions:&lt;br /&gt;
&lt;br /&gt;
1. What is the proportion of 1 in the &amp;quot;accept&amp;quot; sample?&lt;br /&gt;
&lt;br /&gt;
2. It is necessary to calculate the following for all interval variables:&lt;br /&gt;
 - Proportion of missing values&lt;br /&gt;
 - Median&lt;br /&gt;
 - Mean&lt;br /&gt;
 - Standard deviation&lt;br /&gt;
 - Are there any abnormal values, outliers?&lt;br /&gt;
 - Information Value&lt;br /&gt;
3. It is necessary to calculate for all categorical variables the following:&lt;br /&gt;
 - Mode&lt;br /&gt;
 - Proportion of missing values&lt;br /&gt;
 - Information Value&lt;br /&gt;
 - Are there outliers, abnormal values?&lt;br /&gt;
4. Build logistic regression only on approved applications with transformed WoE variables. What is the meaning of GINI? F1 measure?&lt;br /&gt;
&lt;br /&gt;
5. Conduct a Reject Inference analysis. What is the percentage of rejected applications?&lt;br /&gt;
&lt;br /&gt;
6. Build a logistic regression on all applications with transformed WoE variables. What GINI, F1 mean? Has the model changed?&lt;br /&gt;
&lt;br /&gt;
7. What model would you recommend for implementation in a productive environment? Give a detailed explanation&lt;br /&gt;
&lt;br /&gt;
Assessment for HW #3 is set on a 2-point scale, where &amp;quot;2&amp;quot; - the task is solved completely, &amp;quot;1&amp;quot; - the task is not completely solved or with shortcomings, &amp;quot;0&amp;quot; - the task is not solved or solved incorrectly. &lt;br /&gt;
The transfer of grades for homework from a 2-point scale to a 10-point scale is carried out by multiplying the grade by 5 without rounding.&lt;br /&gt;
&lt;br /&gt;
For HW #3, marks will be given: &lt;br /&gt;
&amp;quot;2&amp;quot; - the model is correctly built on both the accept and reject samples. Correct answers given. &lt;br /&gt;
&amp;quot;1.6&amp;quot; - the model is correctly built both on the accept sample and on the reject sample. 50% of answers are correct. &lt;br /&gt;
&amp;quot;1.4&amp;quot; - the model is correctly built both on the accept sample and on the reject sample. Wrong answers are given. &lt;br /&gt;
&amp;quot;1&amp;quot; are given - the model is built only on the accept sample. &lt;br /&gt;
&amp;quot;0.8&amp;quot; - the task is not completely solved. 50% of answers are correct. &lt;br /&gt;
&amp;quot;0&amp;quot; - the task is not solved or solved incorrectly.&lt;br /&gt;
&lt;br /&gt;
Deadline - until 26.03.2022 inclusive&lt;br /&gt;
&lt;br /&gt;
Decisions should be sent to msvorobeva@hse.ru &lt;br /&gt;
The subject of the letter must contain the following: HSE + Course number + version_number + full name.&lt;br /&gt;
&lt;br /&gt;
The file name must include:&lt;br /&gt;
&lt;br /&gt;
*Course number&lt;br /&gt;
*Version number&lt;br /&gt;
*Full name&lt;br /&gt;
&lt;br /&gt;
Example: &amp;quot;ПМИ_3курс_Вариант_8_IvanovIvanIvanovich&amp;quot;&lt;br /&gt;
&lt;br /&gt;
If the works will repeat each other, both works will be considered unresolved.&lt;br /&gt;
&lt;br /&gt;
== Командный проект для 3 курса ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Выбор темы для командного проекта по курсу &amp;quot;Анализ данных в бизнесе&amp;quot; &#039;&#039;&#039;&lt;br /&gt;
 &lt;br /&gt;
Студенты делятся на группы по 3 человека. В дальнейшем 2-3 группы могут соединить в одну. Внутри группы должен быть определен капитан команды - ответственное лицо группы. &lt;br /&gt;
&lt;br /&gt;
Ответственное лицо отвечает за выполнение и результат следующих основных функций:&lt;br /&gt;
*  отправка заявки на тему проекта и согласование темы проекта от лица всей группы с преподавателями;&lt;br /&gt;
*  предоставление информации куратору о текущем статусе проекта: учет, распределение и контроль выполнения задания по проекту;&lt;br /&gt;
*  отправка отчетов, презентаций, технической документации по выполненными работам группы в электронном виде.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Описания тем проектов: [https://docs.google.com/document/d/1p_gECsEVi95_3-WW2eBJaA3yEGCJBzejDILSkPQDX7c/edit?usp=sharing ссылка на файл]&lt;br /&gt;
&lt;br /&gt;
Ссылка на форму подачи заявки на тему: [https://forms.gle/QG2SwvYZ5tN2Pwow5 ссылка на файл]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Сроки выбора тем:&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;До 17 апреля группа должна  выбрать две темы из указанного списка&#039;&#039;&#039;, указав первый и второй приоритет для этих тем.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;18 апреля - каждой группе, которая подала заявку на проект, через указанную форму, будет назначена тема проекта и куратор.&#039;&#039;&#039; При назначении тем будут учитываться приоритеты указанные студентами, а также средний балл студентов в группе по первому модулю курса. На одну тему назначается не более 3-х групп студентов.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
При возникновении вопросов пишите в Telegram Титовой Наталии.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Итогом каждого проекта должна быть презентация результатов проекта на 10-15 минут. &lt;br /&gt;
&lt;br /&gt;
Защита проекта для ПАД и МИЭФ будет в середине мая  (17-22 мая), а также для всех желающих, которые готовы будут защититься. &lt;br /&gt;
&lt;br /&gt;
Финальная защита для ПМИ, ФЭН  пройдет в середине июня (15-19 июня) до начала сессии. &lt;br /&gt;
&lt;br /&gt;
Оценка за проект во втором модуле выставляется по 10-балльной шкале по итогам защиты проекта.&lt;br /&gt;
&lt;br /&gt;
Те студенты, которые не нашли себе группу  тоже подают заявку на тему, но на одного себя. Мы сами соединим с группой по схожей теме.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Даты защиты учебных проектов в 4 модуле:&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Защиты проектов пройдут с 17 по 19 июня 2021 года.&lt;br /&gt;
&lt;br /&gt;
В файле по ссылке вы найдете список проектных групп с привязкой к дате и времени защиты, а так же ссылки для подключения к самим защитам. &lt;br /&gt;
&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/127uq1MwiwZlPahfLj1AwBAuxMdpp44EM6hlYiLnYKyI/edit?usp=sharing Командные проекты - даты защит по группам и ссылки на подключение.]&lt;br /&gt;
&lt;br /&gt;
== How to ask a question about the course ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Questions&#039;&#039;&#039; about the course can be asked in the telegram chat of the course, the course professor Natalia Titova @Natalitics or the manager of the SAS department Tatiana Lobok @tatianalobok (tlobok@hse.ru).&lt;br /&gt;
&lt;br /&gt;
Telegram channel for announcements: https://t.me/+Lj-yHhfNJTQxYWEy&lt;br /&gt;
&lt;br /&gt;
Chat in telegram for discussions: https://t.me/+a1VMTe2xwNA5Mzcy&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; All announcements and course materials will be posted in the telegram chat and in the telegram channel! &#039;&#039;&#039;&lt;br /&gt;
There are professors in the chat, but not always.&lt;br /&gt;
For all important questions, you should write to Natalia Titova in the telegram chat @Natalitics or mail Natalia.Titova@sas.com. Be sure to add the tag [ПМИ ФКН ВШЭ/ПАД ФКН ВШЭ/МИЭФ ФКН ВШЭ/Эк ФЭН ВШЭ/ЭкСт ФЭН ВШЭ] to the title of the letter, and also indicate your last name and first name.&lt;br /&gt;
&lt;br /&gt;
All files provided are intended for use by students during their studies and are updated throughout the year.&lt;br /&gt;
If you find any typos, inaccuracies, malfunctions of the page, please send email tlobok@hse.ru.&lt;br /&gt;
&lt;br /&gt;
== Материалы по курсу ==&lt;br /&gt;
&#039;&#039;&#039;Документы и программа курса&#039;&#039;&#039;  &lt;br /&gt;
&#039;&#039;Внимание: файлы обновляются!&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*Рабочая программа дисциплины для 3 и 4 курса можно найти по следующей [https://docs.google.com/document/d/1Sh-KjlZlAmk1kIEndmM7mF7nAj6iL6ZI/edit?usp=sharing&amp;amp;ouid=109416058723510784590&amp;amp;rtpof=true&amp;amp;sd=true ссылке]. &lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;[https://drive.google.com/open?id=1J7MHkux4wBq828_6Lg3trCmkxdutXV1K Инструкция по подключению к SAS OnDemand  и скачиванию ПО SAS]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*[https://drive.google.com/open?id=1ANDlimb5hp4ds0sUcReR6xq5sVrcX5n9 Лекции и семинары]  &#039;&#039;Внимание: файлы в папке обновляются!&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая литература и полезные дополнительные материалы ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Полезные материалы&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*[https://support.sas.com/en/software/enterprise-guide.html#freetutorials Обучающий портал с дополнительной литературой для работы с SAS Enterprise Guide]&lt;br /&gt;
*[https://habr.com/company/sas/blog/ Блок компании  SAS  на хабре (Основы программирования на SAS Base)]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Полезная литература&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;К разделу 1:&#039;&#039;&lt;br /&gt;
*[https://www.sas.com/store/books/categories/business-concepts-leadership/data-mining-techniques-for-marketing-sales-and-customer-relationship-management-third-edition/prodBK_64447_en.html Data Mining Techniques: For Marketing, Sales, and Customer Relationship Management, Third Edition Michael J. A. Berry Gordon S. Linoff ]&lt;br /&gt;
*[https://www.springer.com/gp/book/9780387725789  Database Marketing. Analyzing and Managing Customers, Blattberg, Robert C., Kim, Byung-Do, Neslin, Scott A. ]&lt;br /&gt;
&lt;br /&gt;
*[http://10k.inc.hse.ru/files/McKINSEY_GUIDE_to_business_plan.pdf LeSueur J. (2007) McKinsey&amp;amp;Company  (2000) How to write a business plan.]&lt;br /&gt;
*[http://support.sas.com/resources/papers/proceedings12/286-2012.pdf	Shive W. and Mouton D. (2012) Improving Retail Decisions with Customer Analytics: Leveragin Actionable Customer Insights across the Retail Enterprise to Build Sales and Profits. Paper 286-2012, SAS Institute, Inc]&lt;br /&gt;
*[http://support.sas.com/resources/papers/proceedings17/SAS0733-2017.pdf	Baer D. (2017) Using Segmentation to Build More Powerful Models with SAS® Visual Analytics. Paper 733-2017, SAS Institute, Inc. ]&lt;br /&gt;
*К. Уолш (2000) Ключевые показатели менеджмента: как анализировать, сравнивать и контролировать данные, определяющие стоимость компании. М.: Дело.	- Есть в  открытом доступе.&lt;br /&gt;
*[http://kaplan-publishing.kaplan.co.uk/cima/p2/pages/study-text.aspx Kaplan Publishing (2018) CIMA P2 Study Text. Advanced Management Accounting.]&lt;br /&gt;
*[http://support.sas.com/resources/papers/proceedings12/286-2012.pdf Shive W. and Mouton D. (2012) Improving Retail Decisions with Customer Analytics: Leveragin Actionable Customer Insights across the Retail Enterprise to Build Sales and Profits. Paper 2862012, SAS Institute, Inc., Cary, NC]&lt;br /&gt;
*[https://support.sas.com/resources/papers/proceedings16/SAS6222-2016.pdf Baer D. and Grover S. (2016) Enhanced Segmentation Using SAS® Visual Analytics and SAS® Visual Statistics. Paper 6222-2016, SAS Institute, Inc., Cary, NC.]&lt;br /&gt;
&lt;br /&gt;
*[https://support.sas.com/documentation/cdl/en/vaamgs/71329/PDF/default/vaamgs.pdf SAS Documentation (2015). SAS® Visual Analytics 7.2, 7.3,and 7.4: Getting Started with Analytical Models]&lt;br /&gt;
*[https://support.sas.com/documentation/cdl/en/vaug/68648/HTML/default/viewer.htm#n0lfkxxrf3zhugn14g96lr8spatc.htm SAS(R) Visual Analytics 7.3: User&#039;s Guide]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;К разделу 2:&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
* Шапиро Дж (2006). Моделирование цепи поставок. Питер. Серия «Теория менеджмента».&lt;br /&gt;
* Tijms H.C., Groenevelt H. (1984). Simple approximations for the reorder point in periodic and continuous review (s, S) inventory systems with service level constraints. European Journal of Operational Research, Vol. 17, Issue 2, August 1984, Pages 175-190.]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;К разделу 3:&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
* Christoffersen P. (2012) Elements of Financial Risk Management. 2nd ed. Elseiver Academic Press.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;К разделу 4:&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
* Мортон С. (2016) Лаборатория презентаций. Формула идеального выступления. Альпина Паблишер.&lt;br /&gt;
&lt;br /&gt;
== Контакты  ==&lt;br /&gt;
&lt;br /&gt;
[[Файл:Титова Наталья Николаевна.jpg|микро|70px|безрамки|слева]] &#039;&#039;&#039;Титова Наталия Николаевна&#039;&#039;&#039; - старший преподаватель &lt;br /&gt;
Natalia.Titova@sas.com&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Файл:Лобок Татьяна Сергеевна.jpg|микро|70px|безрамки|слева]] &#039;&#039;&#039;Лобок Татьяна Сергеевна&#039;&#039;&#039; - менеджер базовой кафедры SAS&lt;br /&gt;
tlobok@hse.ru&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Data_Science_Case_Studies_(JD_SAS)_21/22&amp;diff=65283</id>
		<title>Data Science Case Studies (JD SAS) 21/22</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Data_Science_Case_Studies_(JD_SAS)_21/22&amp;diff=65283"/>
		<updated>2022-02-02T13:47:02Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
[[Файл:Capture.PNG|1000px|безрамки|справа]]&lt;br /&gt;
&lt;br /&gt;
=== Расписание занятий  ===&lt;br /&gt;
Занятия проводятся по &#039;&#039;&#039;субботам&#039;&#039;&#039;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Общая ссылка для всех лекций и семинаров:&#039;&#039;&#039; https://zoom.us/j/99220349786?pwd=WjFZTEFiQzA4b1lzVmVDbXdmNVMwUT09&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Идентификатор конференции: 992 2034 9786&amp;lt;br /&amp;gt;&lt;br /&gt;
Код доступа: 476860&amp;lt;br /&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;9:30&#039;&#039;&#039;&#039;&#039; - Семинар на русском - ФЭН 3 курс (совместно с БК ГК &amp;quot;Открытие&amp;quot;) &amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;11:10&#039;&#039;&#039;&#039;&#039; - Семинар на русском - ФЭН 4 курс (совместно с БК ГК &amp;quot;Открытие&amp;quot;)&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;13:00&#039;&#039;&#039;&#039;&#039; - Лекция на английском (запись) - ПАД и МИЭФ&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;14:40&#039;&#039;&#039;&#039;&#039; - Лекция на русском (запись) - ПМИ, ФЭН, МК&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;16:20&#039;&#039;&#039;&#039;&#039; - Семинар на русском (запись) - ПМИ и МК&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;18:10&#039;&#039;&#039;&#039;&#039; - Семинар на английском (запись) - ПАД1 и МИЭФ&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;19:40&#039;&#039;&#039;&#039;&#039; - Семинар на английском - ПАД2&amp;lt;br /&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
При посещении лекции и семинара в Zoom просим студентов &#039;&#039;&#039;сделать Rename&#039;&#039;&#039; и подписаться в формате «Префикс_Фамилия Имя», указав один из префиксов (МИЭФ, МК, ПАД, ПМИ, ФЭН). Например, «БИ_Иванов Алексей»&lt;br /&gt;
&lt;br /&gt;
=== О курсе ===&lt;br /&gt;
Данная страничка содержит ссылки на материалы по курсу в 2021/2022 учебном году на потоке образовательных программ : &lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
! Образовательная программа !! Курс !! Факультет !! Ссылка на страницу курса АДвБ &lt;br /&gt;
|-&lt;br /&gt;
| [https://cs.hse.ru/ami Прикладная Математика и Информатика] || 3 курс || Факультета Компьютерных Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/339498590 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/data/about Прикладной анализ данных] || 3 курс || Факультета Компьютерных Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/339492551 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/economics/ Экономика] || 3 курс || Факультета Экономических Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/470904614 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/economics/ Экономика] || 4 курс || Факультета Экономических Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/470904606 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/stat/ Экономика и статистика] || 3 курс || Факультета Экономических Наук НИУ ВШЭ || [https://www.hse.ru/edu/courses/470904618 Анализ данных в бизнесе] &lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/stat/ Экономика и статистика] || 4 курс || Факультета Экономических Наук НИУ ВШЭ || [https://www.hse.ru/edu/courses/470904610 Анализ данных в бизнесе] &lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/icef// Программа двух дипломов по экономике НИУ ВШЭ &amp;lt;br /&amp;gt;и Лондонского университета] || 3 курс || Международный институт экономики и финансов НИУ ВШЭ || нет&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
дополнительные ссылки:&lt;br /&gt;
*[https://cs.hse.ru/sas/ Базовая кафедра компании SAS на факультете компьютерных наук ВШЭ ]&lt;br /&gt;
*[https://cs.hse.ru/electives/sas_dscs Карточка курса и программа]&lt;br /&gt;
*[https://www.sas.com/ru_ru/home.html Сайт компании  SAS]&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;[https://www.sas.com/ru_ru/careers/internship-program.html Календарь стажерской программы на 2021/2022 год]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== Программа курса==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Первый модуль&#039;&#039;&#039; будет читаться для 3 и 4 курса - обзор разделов:&lt;br /&gt;
* 	Клиентская аналитика;&lt;br /&gt;
*       Текстовая аналитика;&lt;br /&gt;
* 	Задачи анализа данных в розничных сетях продаж товаров;&lt;br /&gt;
* 	Основы оценки рисков;&lt;br /&gt;
*       ModelOps.&lt;br /&gt;
&lt;br /&gt;
Первый модуль сможет погрузить студентов в актуальные задачи в бизнесе, а также в особенности анализа данных и построения аналитических моделей по каждому разделу модуля. &lt;br /&gt;
В этом модуле студентов познакомят с программным обеспечением SAS.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Второй модуль&#039;&#039;&#039; – командный проект только для 3 курса.&lt;br /&gt;
&lt;br /&gt;
Студенты будут разделены на группы по 2-7 человек и каждой группе будет дана практическая задача.&lt;br /&gt;
Данный модуль позволит получить студентам практический опыт в анализе данных, разработке и в построении аналитических моделей на реальных данных.&lt;br /&gt;
&lt;br /&gt;
== Studying and using SAS software in «Data Analytics in Business» course ==&lt;br /&gt;
&lt;br /&gt;
To perform practical tasks, a student is free of choice to pick any of the given software tools: SAS, R, Python.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Students who plan to perform practical tasks on SAS platform&#039;&#039;&#039;, may take advanced online courses for free.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;To access the course, you must contact the course instructor - Natalia Titova via Telegram.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Links to access the software SAS - &amp;lt;br /&amp;gt;&lt;br /&gt;
https://sas-viya.cs.hse.ru/SASStudioV/main?locale=en_US &amp;lt;br /&amp;gt;&lt;br /&gt;
https://sas-viya.cs.hse.ru/SASStudioV/main?locale=ru_RU&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;If a student has completed all the practical tasks on the SAS and passed the course with excellence&#039;&#039;&#039;, then he will receive:&lt;br /&gt;
*academic SAS program completion certificate&lt;br /&gt;
*Acclaim electronic badge confirming completion of the course and a list of technologies used by SAS&lt;br /&gt;
&lt;br /&gt;
All interested students can take basic SAS online courses for free:&lt;br /&gt;
*basics of programming on SAS Base [https://support.sas.com/edu/schedules.html?id=2588&amp;amp;ctry=RU link to the course]&lt;br /&gt;
*basics of statistical analysis using SAS software[https://support.sas.com/edu/schedules.html?id=5235&amp;amp;ctry=RU link to the course]&lt;br /&gt;
&lt;br /&gt;
Students who are willing to spend extra time learning to program in SAS can try to take a professional certification within the SCYP program for free (SAS® Software Certified Young Professionals) [https://www.sas.com/sas/training/scyp.html link to the course].&lt;br /&gt;
&lt;br /&gt;
== Лекции ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
  &#039;&#039;&#039;суббота      &#039;&#039;&#039;&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
&#039;&#039;&#039;      ПАД и МИЭФ - 13:00 - 14:30; &amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;ПМИ, Экономика, Экономика и статистика, МК - 14:40 - 16:10 &#039;&#039;&#039;&amp;lt;br /&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;ссылка на подключение к лекции&#039;&#039;&#039; - https://zoom.us/j/99220349786?pwd=WjFZTEFiQzA4b1lzVmVDbXdmNVMwUT09&amp;lt;br /&amp;gt;&lt;br /&gt;
Идентификатор конференции: 992 2034 9786&amp;lt;br /&amp;gt;&lt;br /&gt;
Код доступа: 476860&amp;lt;br /&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
! Название раздела !! Тема !! Дата для 3 и 4 курса !! Презентация!! Запись &lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Введение в клиентскую и онлайн аналитику || 15.01.2022  ||  || [https://drive.google.com/file/d/1nEbogpqbZBBrjOJy-sVmq4SdVn_svef6/view?usp=sharing Лекция №1 - рус]&lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Построение прогнозных моделей и визуализация данных || 22.01.2022  ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Введение в задачи анализа текстовых данных || 29.01.2022  ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Инструменты и методы текстовой аналитики || 05.02.2022 ||  ||  &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Введение в задачи анализа данных в ритейле. Прогнозирование спроса || 12.02.2022 || ||  &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Описательная аналитика в Ритейл: кластеризация магазинов, сегментация товаров, восстановление спроса|| 19.02.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Задачи оптимизации запасов товаров в ритейл-сети, оптимизация цен, оптимизация ассортимента  || 26.02.2022  ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в кредитные риски  || 5.03.2022   ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в рыночные риски || 12.03.2022   ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Валидация моделей || 19.03.2022   ||  || &lt;br /&gt;
|-&lt;br /&gt;
| ModelOps || Операционализация моделей машинного обучения || 26.03.2022  ||  || &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Семинары ==&lt;br /&gt;
&lt;br /&gt;
 &#039;&#039;&#039;суббота   &lt;br /&gt;
&#039;&#039;&#039;Группа ФЭН 3 курс - 9:30,&amp;lt;br /&amp;gt; Группы ФЭН 4 курс - 11:10,&amp;lt;br /&amp;gt; Группа ПМИ+МК - 16:20,&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Группа ПАД 1 и МИЭФ - 18:10,&amp;lt;br /&amp;gt; Группа ПАД 2  - 19:40&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ссылка на подключение к семинару&#039;&#039;&#039; - https://zoom.us/j/99220349786?pwd=WjFZTEFiQzA4b1lzVmVDbXdmNVMwUT09&amp;lt;br /&amp;gt;&lt;br /&gt;
Идентификатор конференции: 992 2034 9786&amp;lt;br /&amp;gt;&lt;br /&gt;
Код доступа: 476860&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ссылка на доп.материалы&#039;&#039;&#039; - [https://drive.google.com/drive/folders/1UNGRXQLbulMkvc-yexPHqZauGvwVJF17?usp=sharing к семинарским занятиям]&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Название раздела !! Тема !! Дата для ПМИ, ПАД, МИЭФ и МК !! Дата для ФЭН  !!  Презентация !! Запись &lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Введение в клиентскую и онлайн аналитику || 15.01.2022 || 22.01.2022 ||  || [https://drive.google.com/file/d/1j9-eoZSxLfprqsg_cpqnUfTNLwt_Rhpn/view?usp=sharing Семинар №1 - рус]&lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Построение прогнозных моделей и визуализация данных ||22.01.2022 || 29.01.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Введение в задачи анализа текстовых данных || 29.01.2022 || 05.02.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Инструменты и методы текстовой аналитики || 05.02.2022 || 12.02.2022 ||  ||&lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Введение в задачи анализа данных в ритейле. Прогнозирование спроса || 12.02.2022 || 19.02.2022 ||  ||  &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Описательная аналитика в Ритейл: кластеризация магазинов, сегментация товаров, восстановление спроса || 19.02.2022 || 26.02.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Задачи оптимизации запасов товаров в ритейл-сети, оптимизация цен, оптимизация ассортимента || 26.02.2022 || 5.03.2022 || || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в кредитные риски || 5.03.2022 || 12.03.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в рыночные риски || 12.03.2022 || 19.03.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Валидация моделей || 19.03.2022 || 26.03.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| ModelOps || Операционализация моделей машинного обучения || 26.03.2022 || 2.04.2022 ||  || &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Course report and grade evaluation ==&lt;br /&gt;
&lt;br /&gt;
The course includes several forms of knowledge control:&lt;br /&gt;
* 3 practical homework assignments &lt;br /&gt;
* Written exam, questions in the form of a test with multiple choice&lt;br /&gt;
* Team project (only for 3rd-year students)&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Criteria for assessing knowledge, skills&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*All homework assignments are graded on a 2-point scale, where «2» — task is fully completed, «1» — the task is not completely solved or with slight mistakes, «0» — task is not solved or solved incorrectly. &lt;br /&gt;
&lt;br /&gt;
In case if the homework is divided into several parts, then each part is evaluated on a 2-point scale as described above, and then the marks are averaged with equal weights without rounding.&lt;br /&gt;
&lt;br /&gt;
Перевод оценки за домашние задания из 2-балльной шкалы в 10-балльную проводится путём умножения оценки на 5 без округления. &lt;br /&gt;
The transfer of grades for homework from a 2-point scale to a 10-point scale is done by means of multiplying the grade by 5 without any rounding.&lt;br /&gt;
&lt;br /&gt;
*The grade for the exam is set on a 10-point scale. &lt;br /&gt;
&lt;br /&gt;
*The grade for the team project is also set on a 10-point scale.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The order of the formation of grades for the discipline &#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Let&#039;s denote the grades for 3 homework assignments on a 10-point scale —  &#039;&#039;&#039;O_1,O_2,O_3,&#039;&#039;&#039; and the grade for the exam at the end of the 1st module on a 10-point scale — &#039;&#039;&#039;O_ex&#039;&#039;&#039;. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The final grade for 4th-year students  &#039;&#039;&#039;O_final&#039;&#039;&#039; is evaluated by the  following formula&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;O_final = 0.225 * O_1 + 0.225 * O_2 + 0.225 * O_3 + 0.325 * O_ex&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The final grade for 3rd-year students in the 1st module &#039;&#039;&#039;O_mod&#039;&#039;&#039; is evaluated by the following formula&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;O_mod = 0.1 * O_1 + 0.1 * O_2 + 0.1 * O_3 + 0.2 * O_ex&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The grade for the project in the 2nd module &#039;&#039;&#039;O_prj&#039;&#039;&#039; is set on a 10-point scale by means of the project defense. &lt;br /&gt;
&lt;br /&gt;
The final grade &#039;&#039;&#039;O_final&#039;&#039;&#039; is defined by the formula &#039;&#039;&#039;O_final = O_mod + 0.5 * O_prj&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Rounding occurs only at the very end - in the final grade, i.e. arithmetic rounding.&lt;br /&gt;
 &lt;br /&gt;
Each task and exam is evaluated on a 10-point scale (fractional marks are allowed for tasks). For some tasks, it will be possible to receive bonus points, which will be announced when the task is issued.&lt;br /&gt;
&lt;br /&gt;
== Home assignments ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Home assignment #1&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The home task #1 consists of 2 parts:&lt;br /&gt;
&lt;br /&gt;
1. Data research and data processing for subsequent segmentation;&lt;br /&gt;
&lt;br /&gt;
2. Making customer profiles based on segmentations (use at least 2 segmentation methods).&lt;br /&gt;
&lt;br /&gt;
An example of a detailed description of Home assignment №1 2020-2021 with examples and results [https://drive.google.com/file/d/16WFqo1xfPvnlGLwyorWFGdiL2ZM8xp8D/view?usp=sharing read in the attached file]&lt;br /&gt;
&lt;br /&gt;
Each student chooses the version that is indicated opposite his name in the list&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/19HGjq6sUJ__0Cg0akOr7AIivKvIRh7ttas_9QE4Q3E0/edit?usp=sharing link]&lt;br /&gt;
&lt;br /&gt;
Versions and data description are presented [https://drive.google.com/open?id=1jxwwFMEHVh91ZKx5_PqnMSUlsICytIbI in the folder at the link]&lt;br /&gt;
&lt;br /&gt;
In order to receive an assessment, you need:&lt;br /&gt;
&lt;br /&gt;
1. Send an archive with files where all calculations were made and a cover letter with conclusions and comments on&lt;br /&gt;
each part:&lt;br /&gt;
&lt;br /&gt;
* Calculations can be done using code (python/sas/sql), pivot tables and formulas in excel or SAS Viya project;&lt;br /&gt;
* All conclusions must be supported by visually interpretable graphs and data.&lt;br /&gt;
&lt;br /&gt;
2. The archive (.zip) with the files must be sent to ntitova@hse.ru with the email subject “ФКН ВШЭ”&lt;br /&gt;
&lt;br /&gt;
3. The file name must be sent according to the template &amp;lt;First Name&amp;gt;_&amp;lt;Last name&amp;gt;_&amp;lt;group number&amp;gt;_hw1.zip.&lt;br /&gt;
&lt;br /&gt;
For example, Alexander_Sharipov_156_hw1&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade for Home assignment #1&#039;&#039;&#039; is given on a 10-point scale, where:&lt;br /&gt;
&lt;br /&gt;
&amp;quot;8-10&amp;quot; - the task is completely solved, all 2 parts of homework are completed:&lt;br /&gt;
* data analysis was carried out, a code is working, and tables for data research were provided;&lt;br /&gt;
* constructed segmentation by 2 methods;&lt;br /&gt;
* provided clear conclusions with confirmed data (tables, graphs);&lt;br /&gt;
&lt;br /&gt;
&amp;quot;6-7&amp;quot; - the task is solved incompletely or with shortcomings:&lt;br /&gt;
* data analysis was carried out, a working code and tables for data research were provided;&lt;br /&gt;
* built segmentation using at least one method;&lt;br /&gt;
* provided clear conclusions with confirmed data (tables, graphs);&lt;br /&gt;
&lt;br /&gt;
&amp;quot;4-5&amp;quot; - the task was solved with significant shortcomings,&lt;br /&gt;
* data analysis was carried out, a working code and tables for data research were provided;&lt;br /&gt;
* revealed top-level dependencies and patterns for customers without building a segmentation model;&lt;br /&gt;
&lt;br /&gt;
&amp;quot;0-3&amp;quot; - the task is not solved or solved incorrectly.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Deadline – 2 weeks (February 19, 2022 23:59).&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Home assignment #2&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Description of Home assignment #2 is in the file [https://drive.google.com/file/d/1R6BLH40CLk7uewRn02JlGj64Ov2peJgK/view?usp=sharing link]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Deadline - March 12, 2022 23:59.&#039;&#039; &lt;br /&gt;
Solutions should be sent to aromanenko@hse.ru&lt;br /&gt;
&lt;br /&gt;
The subject of the letter must contain the following: HSE + Course number + version_number + full name.&lt;br /&gt;
&lt;br /&gt;
The file name must include:&lt;br /&gt;
&lt;br /&gt;
*Course number&lt;br /&gt;
*Version number&lt;br /&gt;
*Full name&lt;br /&gt;
&lt;br /&gt;
Example: &amp;quot;ПМИ_3курс_Вариант_8_IvanovIvanIvanovich&amp;quot;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Home assignment #3&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
It is necessary to build a scoring model that assesses the probability of a client default at the stage of making a loan application. &lt;br /&gt;
To do this you need:&lt;br /&gt;
&lt;br /&gt;
0. Download data from the link https://drive.google.com/drive/u/0/folders/16CMyPnLu7Fv7IgsYOZimQK-7MaFZEWEZ&lt;br /&gt;
&lt;br /&gt;
Each student selects 2 data samples &amp;quot;accept&amp;quot; and &amp;quot;reject&amp;quot;, which start with the student&#039;s HW version. &lt;br /&gt;
Version numbers for HW #3 must be taken the same as for HW #1.&lt;br /&gt;
&lt;br /&gt;
The completed task must be sent in the following form:&lt;br /&gt;
&lt;br /&gt;
1) File/scripts with built models (there must be comments, without comments the task is considered as unresolved)&lt;br /&gt;
&lt;br /&gt;
2) Excel file with answers to the following questions:&lt;br /&gt;
&lt;br /&gt;
1. What is the proportion of 1 in the &amp;quot;accept&amp;quot; sample?&lt;br /&gt;
&lt;br /&gt;
2. It is necessary to calculate the following for all interval variables:&lt;br /&gt;
 - Proportion of missing values&lt;br /&gt;
 - Median&lt;br /&gt;
 - Mean&lt;br /&gt;
 - Standard deviation&lt;br /&gt;
 - Are there any abnormal values, outliers?&lt;br /&gt;
 - Information Value&lt;br /&gt;
3. It is necessary to calculate for all categorical variables the following:&lt;br /&gt;
 - Mode&lt;br /&gt;
 - Proportion of missing values&lt;br /&gt;
 - Information Value&lt;br /&gt;
 - Are there outliers, abnormal values?&lt;br /&gt;
4. Build logistic regression only on approved applications with transformed WoE variables. What is the meaning of GINI? F1 measure?&lt;br /&gt;
&lt;br /&gt;
5. Conduct a Reject Inference analysis. What is the percentage of rejected applications?&lt;br /&gt;
&lt;br /&gt;
6. Build a logistic regression on all applications with transformed WoE variables. What GINI, F1 mean? Has the model changed?&lt;br /&gt;
&lt;br /&gt;
7. What model would you recommend for implementation in a productive environment? Give a detailed explanation&lt;br /&gt;
&lt;br /&gt;
Assessment for HW #3 is set on a 2-point scale, where &amp;quot;2&amp;quot; - the task is solved completely, &amp;quot;1&amp;quot; - the task is not completely solved or with shortcomings, &amp;quot;0&amp;quot; - the task is not solved or solved incorrectly. &lt;br /&gt;
The transfer of grades for homework from a 2-point scale to a 10-point scale is carried out by multiplying the grade by 5 without rounding.&lt;br /&gt;
&lt;br /&gt;
For HW #3, marks will be given: &lt;br /&gt;
&amp;quot;2&amp;quot; - the model is correctly built on both the accept and reject samples. Correct answers given. &lt;br /&gt;
&amp;quot;1.6&amp;quot; - the model is correctly built both on the accept sample and on the reject sample. 50% of answers are correct. &lt;br /&gt;
&amp;quot;1.4&amp;quot; - the model is correctly built both on the accept sample and on the reject sample. Wrong answers are given. &lt;br /&gt;
&amp;quot;1&amp;quot; are given - the model is built only on the accept sample. &lt;br /&gt;
&amp;quot;0.8&amp;quot; - the task is not completely solved. 50% of answers are correct. &lt;br /&gt;
&amp;quot;0&amp;quot; - the task is not solved or solved incorrectly.&lt;br /&gt;
&lt;br /&gt;
Deadline - until 26.03.2022 inclusive&lt;br /&gt;
&lt;br /&gt;
Decisions should be sent to msvorobeva@hse.ru &lt;br /&gt;
The subject of the letter must contain the following: HSE + Course number + version_number + full name.&lt;br /&gt;
&lt;br /&gt;
The file name must include:&lt;br /&gt;
&lt;br /&gt;
*Course number&lt;br /&gt;
*Version number&lt;br /&gt;
*Full name&lt;br /&gt;
&lt;br /&gt;
Example: &amp;quot;ПМИ_3курс_Вариант_8_IvanovIvanIvanovich&amp;quot;&lt;br /&gt;
&lt;br /&gt;
If the works will repeat each other, both works will be considered unresolved.&lt;br /&gt;
&lt;br /&gt;
== Командный проект для 3 курса ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Выбор темы для командного проекта по курсу &amp;quot;Анализ данных в бизнесе&amp;quot; &#039;&#039;&#039;&lt;br /&gt;
 &lt;br /&gt;
Студенты делятся на группы по 3 человека. В дальнейшем 2-3 группы могут соединить в одну. Внутри группы должен быть определен капитан команды - ответственное лицо группы. &lt;br /&gt;
&lt;br /&gt;
Ответственное лицо отвечает за выполнение и результат следующих основных функций:&lt;br /&gt;
*  отправка заявки на тему проекта и согласование темы проекта от лица всей группы с преподавателями;&lt;br /&gt;
*  предоставление информации куратору о текущем статусе проекта: учет, распределение и контроль выполнения задания по проекту;&lt;br /&gt;
*  отправка отчетов, презентаций, технической документации по выполненными работам группы в электронном виде.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Описания тем проектов: [https://docs.google.com/document/d/1p_gECsEVi95_3-WW2eBJaA3yEGCJBzejDILSkPQDX7c/edit?usp=sharing ссылка на файл]&lt;br /&gt;
&lt;br /&gt;
Ссылка на форму подачи заявки на тему: [https://forms.gle/QG2SwvYZ5tN2Pwow5 ссылка на файл]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Сроки выбора тем:&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;До 17 апреля группа должна  выбрать две темы из указанного списка&#039;&#039;&#039;, указав первый и второй приоритет для этих тем.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;18 апреля - каждой группе, которая подала заявку на проект, через указанную форму, будет назначена тема проекта и куратор.&#039;&#039;&#039; При назначении тем будут учитываться приоритеты указанные студентами, а также средний балл студентов в группе по первому модулю курса. На одну тему назначается не более 3-х групп студентов.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
При возникновении вопросов пишите в Telegram Титовой Наталии.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Итогом каждого проекта должна быть презентация результатов проекта на 10-15 минут. &lt;br /&gt;
&lt;br /&gt;
Защита проекта для ПАД и МИЭФ будет в середине мая  (17-22 мая), а также для всех желающих, которые готовы будут защититься. &lt;br /&gt;
&lt;br /&gt;
Финальная защита для ПМИ, ФЭН  пройдет в середине июня (15-19 июня) до начала сессии. &lt;br /&gt;
&lt;br /&gt;
Оценка за проект во втором модуле выставляется по 10-балльной шкале по итогам защиты проекта.&lt;br /&gt;
&lt;br /&gt;
Те студенты, которые не нашли себе группу  тоже подают заявку на тему, но на одного себя. Мы сами соединим с группой по схожей теме.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Даты защиты учебных проектов в 4 модуле:&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Защиты проектов пройдут с 17 по 19 июня 2021 года.&lt;br /&gt;
&lt;br /&gt;
В файле по ссылке вы найдете список проектных групп с привязкой к дате и времени защиты, а так же ссылки для подключения к самим защитам. &lt;br /&gt;
&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/127uq1MwiwZlPahfLj1AwBAuxMdpp44EM6hlYiLnYKyI/edit?usp=sharing Командные проекты - даты защит по группам и ссылки на подключение.]&lt;br /&gt;
&lt;br /&gt;
== How to ask a question about the course ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Questions&#039;&#039;&#039; about the course can be asked in the telegram chat of the course, the course professor Natalia Titova @Natalitics or the manager of the SAS department Tatiana Lobok @tatianalobok (tlobok@hse.ru).&lt;br /&gt;
&lt;br /&gt;
Telegram channel for announcements: https://t.me/+Lj-yHhfNJTQxYWEy&lt;br /&gt;
&lt;br /&gt;
Chat in telegram for discussions: https://t.me/+a1VMTe2xwNA5Mzcy&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; All announcements and course materials will be posted in the telegram chat and in the telegram channel! &#039;&#039;&#039;&lt;br /&gt;
There are professors in the chat, but not always.&lt;br /&gt;
For all important questions, you should write to Natalia Titova in the telegram chat @Natalitics or mail Natalia.Titova@sas.com. Be sure to add the tag [ПМИ ФКН ВШЭ/ПАД ФКН ВШЭ/МИЭФ ФКН ВШЭ/Эк ФЭН ВШЭ/ЭкСт ФЭН ВШЭ] to the title of the letter, and also indicate your last name and first name.&lt;br /&gt;
&lt;br /&gt;
All files provided are intended for use by students during their studies and are updated throughout the year.&lt;br /&gt;
If you find any typos, inaccuracies, malfunctions of the page, please send email tlobok@hse.ru.&lt;br /&gt;
&lt;br /&gt;
== Материалы по курсу ==&lt;br /&gt;
&#039;&#039;&#039;Документы и программа курса&#039;&#039;&#039;  &lt;br /&gt;
&#039;&#039;Внимание: файлы обновляются!&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*Рабочая программа дисциплины для 3 и 4 курса можно найти по следующей [https://docs.google.com/document/d/1Sh-KjlZlAmk1kIEndmM7mF7nAj6iL6ZI/edit?usp=sharing&amp;amp;ouid=109416058723510784590&amp;amp;rtpof=true&amp;amp;sd=true ссылке]. &lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;[https://drive.google.com/open?id=1J7MHkux4wBq828_6Lg3trCmkxdutXV1K Инструкция по подключению к SAS OnDemand  и скачиванию ПО SAS]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*[https://drive.google.com/open?id=1ANDlimb5hp4ds0sUcReR6xq5sVrcX5n9 Лекции и семинары]  &#039;&#039;Внимание: файлы в папке обновляются!&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая литература и полезные дополнительные материалы ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Полезные материалы&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*[https://support.sas.com/en/software/enterprise-guide.html#freetutorials Обучающий портал с дополнительной литературой для работы с SAS Enterprise Guide]&lt;br /&gt;
*[https://habr.com/company/sas/blog/ Блок компании  SAS  на хабре (Основы программирования на SAS Base)]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Полезная литература&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;К разделу 1:&#039;&#039;&lt;br /&gt;
*[https://www.sas.com/store/books/categories/business-concepts-leadership/data-mining-techniques-for-marketing-sales-and-customer-relationship-management-third-edition/prodBK_64447_en.html Data Mining Techniques: For Marketing, Sales, and Customer Relationship Management, Third Edition Michael J. A. Berry Gordon S. Linoff ]&lt;br /&gt;
*[https://www.springer.com/gp/book/9780387725789  Database Marketing. Analyzing and Managing Customers, Blattberg, Robert C., Kim, Byung-Do, Neslin, Scott A. ]&lt;br /&gt;
&lt;br /&gt;
*[http://10k.inc.hse.ru/files/McKINSEY_GUIDE_to_business_plan.pdf LeSueur J. (2007) McKinsey&amp;amp;Company  (2000) How to write a business plan.]&lt;br /&gt;
*[http://support.sas.com/resources/papers/proceedings12/286-2012.pdf	Shive W. and Mouton D. (2012) Improving Retail Decisions with Customer Analytics: Leveragin Actionable Customer Insights across the Retail Enterprise to Build Sales and Profits. Paper 286-2012, SAS Institute, Inc]&lt;br /&gt;
*[http://support.sas.com/resources/papers/proceedings17/SAS0733-2017.pdf	Baer D. (2017) Using Segmentation to Build More Powerful Models with SAS® Visual Analytics. Paper 733-2017, SAS Institute, Inc. ]&lt;br /&gt;
*К. Уолш (2000) Ключевые показатели менеджмента: как анализировать, сравнивать и контролировать данные, определяющие стоимость компании. М.: Дело.	- Есть в  открытом доступе.&lt;br /&gt;
*[http://kaplan-publishing.kaplan.co.uk/cima/p2/pages/study-text.aspx Kaplan Publishing (2018) CIMA P2 Study Text. Advanced Management Accounting.]&lt;br /&gt;
*[http://support.sas.com/resources/papers/proceedings12/286-2012.pdf Shive W. and Mouton D. (2012) Improving Retail Decisions with Customer Analytics: Leveragin Actionable Customer Insights across the Retail Enterprise to Build Sales and Profits. Paper 2862012, SAS Institute, Inc., Cary, NC]&lt;br /&gt;
*[https://support.sas.com/resources/papers/proceedings16/SAS6222-2016.pdf Baer D. and Grover S. (2016) Enhanced Segmentation Using SAS® Visual Analytics and SAS® Visual Statistics. Paper 6222-2016, SAS Institute, Inc., Cary, NC.]&lt;br /&gt;
&lt;br /&gt;
*[https://support.sas.com/documentation/cdl/en/vaamgs/71329/PDF/default/vaamgs.pdf SAS Documentation (2015). SAS® Visual Analytics 7.2, 7.3,and 7.4: Getting Started with Analytical Models]&lt;br /&gt;
*[https://support.sas.com/documentation/cdl/en/vaug/68648/HTML/default/viewer.htm#n0lfkxxrf3zhugn14g96lr8spatc.htm SAS(R) Visual Analytics 7.3: User&#039;s Guide]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;К разделу 2:&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
* Шапиро Дж (2006). Моделирование цепи поставок. Питер. Серия «Теория менеджмента».&lt;br /&gt;
* Tijms H.C., Groenevelt H. (1984). Simple approximations for the reorder point in periodic and continuous review (s, S) inventory systems with service level constraints. European Journal of Operational Research, Vol. 17, Issue 2, August 1984, Pages 175-190.]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;К разделу 3:&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
* Christoffersen P. (2012) Elements of Financial Risk Management. 2nd ed. Elseiver Academic Press.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;К разделу 4:&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
* Мортон С. (2016) Лаборатория презентаций. Формула идеального выступления. Альпина Паблишер.&lt;br /&gt;
&lt;br /&gt;
== Контакты  ==&lt;br /&gt;
&lt;br /&gt;
[[Файл:Титова Наталья Николаевна.jpg|микро|70px|безрамки|слева]] &#039;&#039;&#039;Титова Наталия Николаевна&#039;&#039;&#039; - старший преподаватель &lt;br /&gt;
Natalia.Titova@sas.com&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Файл:Лобок Татьяна Сергеевна.jpg|микро|70px|безрамки|слева]] &#039;&#039;&#039;Лобок Татьяна Сергеевна&#039;&#039;&#039; - менеджер базовой кафедры SAS&lt;br /&gt;
tlobok@hse.ru&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=65279</id>
		<title>Differential Equations 2021</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Differential_Equations_2021&amp;diff=65279"/>
		<updated>2022-02-02T13:22:15Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==&lt;br /&gt;
&lt;br /&gt;
=== or see [https://drive.google.com/file/d/1RH-GXDP9RjLk0mS7qcyjlRmu9TZa61rM/view?usp=sharing this version of the syllabus]===&lt;br /&gt;
&lt;br /&gt;
“Differential Equations” is a spring semester course for second-year students studying at the Faculty of Computer Sciences. It is designed to suit the requirements of the Faculty of Computer Sciences curriculum as well as UoL where DE is a part of the mathematical curriculum. Besides the course on differential equations is included as a topic in “Mathematical methods for economists” external exam. &lt;br /&gt;
&lt;br /&gt;
This course is an important part of the bachelor stage in the education of the future applied mathematicians and computer scientists. It has to give students skills for the implementation of mathematical knowledge and expertise. Its prerequisite is the knowledge of the single variable calculus. &lt;br /&gt;
&lt;br /&gt;
In the spring semester, the course is split into two unequal parts: it is taught from January through the end of April and after the students finish with their UoL exams in May it will resume and will continue till mid-June. &lt;br /&gt;
&lt;br /&gt;
The assessment of the students will be done by setting mock exam by the end of the 3rd module, then later by the University of London (UoL) examinations in May and final exam will be set in late June. But the final grade will depend solely on mock, final exams performance and home assignments grades.&lt;br /&gt;
&lt;br /&gt;
As a general policy, personal computing devices such as laptops, calculators etc. are &#039;&#039;&#039; not supposed to be used in the course&#039;&#039;&#039;. They are &#039;&#039;&#039; absolutely prohibited in all exams&#039;&#039;&#039;. Students are expected to do all necessary arithmetic computations by hand.&lt;br /&gt;
&lt;br /&gt;
== Lecturers and Teachers==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; style=&amp;quot;text-align:center&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Lecturer|| [https://www.hse.ru/en/org/persons/131777 K.A. Bukin] &amp;lt;br/&amp;gt; [mailto:kbukin@hse.ru kbukin@hse.ru]&lt;br /&gt;
&lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| Assistants &lt;br /&gt;
|rowspan=&amp;quot;2&amp;quot;| &lt;br /&gt;
|-&lt;br /&gt;
| Teacher || V.Goncharenko&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Lectures ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 10.01.2022&#039;&#039;&#039;. First order equations.&lt;br /&gt;
[https://zoom.us/rec/share/0sar-a1VH7rx6tE1bx_df6-cdHbSV-N17M6jF44aUwRuOPNUedMwP-Pngrlutdzo.m-6hHoOxWmU5mwn5 Passcode: $76B5rUc]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 17.01.2022&#039;&#039;&#039;.  Fundamental theorem of DE.&lt;br /&gt;
[https://zoom.us/rec/share/boxmeeft5NowW4yDXl-0xByyE7nK2DCFWGj0gZNSfNJVadEIVgKLIt0xXqG7ar1n.VN0fwJuRW0FVExxl Passcode: ^Ts*1y69]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 24.01.2022&#039;&#039;&#039;.  Solow&#039;s growth model. Linear DE of the 2nd order.&lt;br /&gt;
[https://zoom.us/rec/share/LaSmzZSXTW2p0nqohKBwd9MqxZ0Ab5DHaKF0aH7KevAb_bM8994Ft-ib48vBII4.QXnnVTzUwYD8XSyj Passcode: ECxmcT1# ], [https://youtu.be/HUdN1T_b5bo Youtube]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Lecture 31.01.2022&#039;&#039;&#039;. How to solve n-th order linear DE with constant coeffifcients.&lt;br /&gt;
[https://zoom.us/rec/share/srFmnGOLzDq31UdPzWm9Xgmmf0PLnWAqjlN4rR8SfDVbuWe4zm2WQABg6EYc9__T.Slp_GdVSw0ZIu1zJ Passcode: 9r*2cYy#], [https://youtu.be/S4901gdlvYQ Youtube]&lt;br /&gt;
&lt;br /&gt;
== Seminars ==&lt;br /&gt;
&lt;br /&gt;
[https://drive.google.com/drive/folders/1473Qn9_xPo_va80ILq_i3tkCJPm7nz2W Materials]&lt;br /&gt;
&lt;br /&gt;
== Midterm test ==&lt;br /&gt;
==== &#039;&#039;Date&#039;&#039;: ... ====&lt;br /&gt;
&lt;br /&gt;
==== Midterm lasts for 80 minutes ====&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/ETmk0ehOD0JIqC35TRUf808BeWrG3qVQBuExjy3PJCOLvA?e=vKUENr Demo version]&lt;br /&gt;
&lt;br /&gt;
== Final exam ==&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/Ea4NH5H4529NqTm1_WiaRoUBT0pPyaDKmdDArkIH5HRBVg?e=FTrzCx] (recommended to solve)&lt;br /&gt;
==== Final exam is set on Monday June 21 at 16.20 ====&lt;br /&gt;
&lt;br /&gt;
It will last for 120 minutes. No calculators are allowed.&lt;br /&gt;
&lt;br /&gt;
== UoL Materials ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Materials&#039;&#039;: [[https://drive.google.com/open?id=191gsbdfPE4vP1x5gNommmqhOnrOS38DA Materials]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Tasks for preparation&#039;&#039;: [[https://drive.google.com/file/d/1PoDsGe4GzvoS1iiUZYiFjok3Pu-1PfFs/view?usp=sharing Tasks]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam demo version&#039;&#039;: [[https://drive.google.com/file/d/1emy7QlMwRRj-eUOf8gGKwHRlLOe73lkb/view?usp=sharing Demo version]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Exam assessment rules&#039;&#039;: [[https://drive.google.com/file/d/1qOyXzYI5kw2f2nftmBwV3SUw26ZLT4Ux/view?usp=sharing Assessment rules]]&lt;br /&gt;
&lt;br /&gt;
== Assignments ==&lt;br /&gt;
&lt;br /&gt;
=== Home assignments ===&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EdDfMzW9a7ZMp3ltZDb7H3YB-IqTmxa_9GdtGC5166oyEQ?e=qPtTfA Home assignment 1], due on &amp;quot;February 3rd&amp;quot;&lt;br /&gt;
&lt;br /&gt;
[https://eduhseru-my.sharepoint.com/:b:/g/personal/gmbuzilov_edu_hse_ru/EchLKX1UxHtPndsmPRG7MjYBKlq7yJABgOkqnNwg2ZjwpA?e=BB5naA Home assignment 2], due on &amp;quot;February 17th&amp;quot;&lt;br /&gt;
&lt;br /&gt;
== Overall Results ==&lt;br /&gt;
&lt;br /&gt;
== Grading System ==&lt;br /&gt;
&lt;br /&gt;
The home assignments constitute 30% of the final grade. The final exam is 40% of the final grade. The rest of the grade is formed by Midterm test which is due in the end of the 3rd module.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; The final grade on the course&#039;&#039;&#039; will be determined according to the formula:&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Grade&#039;&#039;&#039; = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments&lt;br /&gt;
&lt;br /&gt;
All grades are given initially out of 100. The final grades are also transferred to 10- and 5-points grades in accordance with the table (to be posted).&lt;br /&gt;
3.	The scale of corresponding grades&lt;br /&gt;
3.1.	Total grades for a given course are converted from the 100-point scale to the 5-point&lt;br /&gt;
and 10-point scale.&lt;br /&gt;
3.2.	The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale&lt;br /&gt;
100-point scale	10-point scale&lt;br /&gt;
&lt;br /&gt;
0-19,99	 -&amp;gt;    1&lt;br /&gt;
&lt;br /&gt;
20-29,99 -&amp;gt;	2&lt;br /&gt;
&lt;br /&gt;
30-39,99 -&amp;gt;	3&lt;br /&gt;
&lt;br /&gt;
40-46,99  -&amp;gt;	4&lt;br /&gt;
&lt;br /&gt;
47-53,99 -&amp;gt;	5&lt;br /&gt;
&lt;br /&gt;
54-61,99	   -&amp;gt;     6&lt;br /&gt;
&lt;br /&gt;
62-69,99 -&amp;gt;	7&lt;br /&gt;
&lt;br /&gt;
70-77,99	   -&amp;gt;   8&lt;br /&gt;
&lt;br /&gt;
78-85,9 -&amp;gt; 9&lt;br /&gt;
&lt;br /&gt;
86-100	-&amp;gt;       10&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Retakes are organized in accordance with the HSE Interim and [https://www.hse.ru/docs/231102058.html Ongoing  Assessment Regulations]&lt;br /&gt;
&lt;br /&gt;
== Reading ==&lt;br /&gt;
&#039;&#039;&#039;Obligatory:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- Mathematics for economists, Simon C. P., Blume L., 1994 &amp;lt;br/&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Optional:&#039;&#039;&#039;&amp;lt;br/&amp;gt;&lt;br /&gt;
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.&amp;lt;br/&amp;gt;&lt;br /&gt;
== Internet Resources ==&lt;br /&gt;
[http://www.londonexternal.ac.uk/current_students/programme_resources/lse/index.shtml University of London Exam papers and Examiners reports for the last three years].&amp;lt;br/&amp;gt;&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
	<entry>
		<id>https://wiki.cs.hse.ru/index.php?title=Data_Science_Case_Studies_(JD_SAS)_21/22&amp;diff=65271</id>
		<title>Data Science Case Studies (JD SAS) 21/22</title>
		<link rel="alternate" type="text/html" href="https://wiki.cs.hse.ru/index.php?title=Data_Science_Case_Studies_(JD_SAS)_21/22&amp;diff=65271"/>
		<updated>2022-02-02T10:38:49Z</updated>

		<summary type="html">&lt;p&gt;GBuzilov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
[[Файл:Capture.PNG|1000px|безрамки|справа]]&lt;br /&gt;
&lt;br /&gt;
=== Расписание занятий  ===&lt;br /&gt;
Занятия проводятся по &#039;&#039;&#039;субботам&#039;&#039;&#039;&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Общая ссылка для всех лекций и семинаров:&#039;&#039;&#039; https://zoom.us/j/99220349786?pwd=WjFZTEFiQzA4b1lzVmVDbXdmNVMwUT09&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Идентификатор конференции: 992 2034 9786&amp;lt;br /&amp;gt;&lt;br /&gt;
Код доступа: 476860&amp;lt;br /&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;9:30&#039;&#039;&#039;&#039;&#039; - Семинар на русском - ФЭН 3 курс (совместно с БК ГК &amp;quot;Открытие&amp;quot;) &amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;11:10&#039;&#039;&#039;&#039;&#039; - Семинар на русском - ФЭН 4 курс (совместно с БК ГК &amp;quot;Открытие&amp;quot;)&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;13:00&#039;&#039;&#039;&#039;&#039; - Лекция на английском (запись) - ПАД и МИЭФ&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;14:40&#039;&#039;&#039;&#039;&#039; - Лекция на русском (запись) - ПМИ, ФЭН, МК&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;16:20&#039;&#039;&#039;&#039;&#039; - Семинар на русском (запись) - ПМИ и МК&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;18:10&#039;&#039;&#039;&#039;&#039; - Семинар на английском (запись) - ПАД1 и МИЭФ&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;&#039;&#039;19:40&#039;&#039;&#039;&#039;&#039; - Семинар на английском - ПАД2&amp;lt;br /&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
При посещении лекции и семинара в Zoom просим студентов &#039;&#039;&#039;сделать Rename&#039;&#039;&#039; и подписаться в формате «Префикс_Фамилия Имя», указав один из префиксов (МИЭФ, МК, ПАД, ПМИ, ФЭН). Например, «БИ_Иванов Алексей»&lt;br /&gt;
&lt;br /&gt;
=== О курсе ===&lt;br /&gt;
Данная страничка содержит ссылки на материалы по курсу в 2021/2022 учебном году на потоке образовательных программ : &lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
! Образовательная программа !! Курс !! Факультет !! Ссылка на страницу курса АДвБ &lt;br /&gt;
|-&lt;br /&gt;
| [https://cs.hse.ru/ami Прикладная Математика и Информатика] || 3 курс || Факультета Компьютерных Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/339498590 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/data/about Прикладной анализ данных] || 3 курс || Факультета Компьютерных Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/339492551 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/economics/ Экономика] || 3 курс || Факультета Экономических Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/470904614 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/economics/ Экономика] || 4 курс || Факультета Экономических Наук НИУ ВШЭ  || [https://www.hse.ru/edu/courses/470904606 Анализ данных в бизнесе]&lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/stat/ Экономика и статистика] || 3 курс || Факультета Экономических Наук НИУ ВШЭ || [https://www.hse.ru/edu/courses/470904618 Анализ данных в бизнесе] &lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/stat/ Экономика и статистика] || 4 курс || Факультета Экономических Наук НИУ ВШЭ || [https://www.hse.ru/edu/courses/470904610 Анализ данных в бизнесе] &lt;br /&gt;
|-&lt;br /&gt;
| [https://www.hse.ru/ba/icef// Программа двух дипломов по экономике НИУ ВШЭ &amp;lt;br /&amp;gt;и Лондонского университета] || 3 курс || Международный институт экономики и финансов НИУ ВШЭ || нет&lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
дополнительные ссылки:&lt;br /&gt;
*[https://cs.hse.ru/sas/ Базовая кафедра компании SAS на факультете компьютерных наук ВШЭ ]&lt;br /&gt;
*[https://cs.hse.ru/electives/sas_dscs Карточка курса и программа]&lt;br /&gt;
*[https://www.sas.com/ru_ru/home.html Сайт компании  SAS]&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;[https://www.sas.com/ru_ru/careers/internship-program.html Календарь стажерской программы на 2021/2022 год]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== Программа курса==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Первый модуль&#039;&#039;&#039; будет читаться для 3 и 4 курса - обзор разделов:&lt;br /&gt;
* 	Клиентская аналитика;&lt;br /&gt;
*       Текстовая аналитика;&lt;br /&gt;
* 	Задачи анализа данных в розничных сетях продаж товаров;&lt;br /&gt;
* 	Основы оценки рисков;&lt;br /&gt;
*       ModelOps.&lt;br /&gt;
&lt;br /&gt;
Первый модуль сможет погрузить студентов в актуальные задачи в бизнесе, а также в особенности анализа данных и построения аналитических моделей по каждому разделу модуля. &lt;br /&gt;
В этом модуле студентов познакомят с программным обеспечением SAS.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Второй модуль&#039;&#039;&#039; – командный проект только для 3 курса.&lt;br /&gt;
&lt;br /&gt;
Студенты будут разделены на группы по 2-7 человек и каждой группе будет дана практическая задача.&lt;br /&gt;
Данный модуль позволит получить студентам практический опыт в анализе данных, разработке и в построении аналитических моделей на реальных данных.&lt;br /&gt;
&lt;br /&gt;
== Studying and using SAS software in «Data Analytics in Business» course ==&lt;br /&gt;
&lt;br /&gt;
To perform practical tasks, a student is free of choice to pick any of the given software tools: SAS, R, Python.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Students who plan to perform practical tasks on SAS platform&#039;&#039;&#039;, may take advanced online courses for free.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;To access the course, you must contact the course instructor - Natalia Titova via Telegram.&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Links to access the software SAS - &amp;lt;br /&amp;gt;&lt;br /&gt;
https://sas-viya.cs.hse.ru/SASStudioV/main?locale=en_US &amp;lt;br /&amp;gt;&lt;br /&gt;
https://sas-viya.cs.hse.ru/SASStudioV/main?locale=ru_RU&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;If a student has completed all the practical tasks on the SAS and passed the course with excellence&#039;&#039;&#039;, then he will receive:&lt;br /&gt;
*academic SAS program completion certificate&lt;br /&gt;
*Acclaim electronic badge confirming completion of the course and a list of technologies used by SAS&lt;br /&gt;
&lt;br /&gt;
All interested students can take basic SAS online courses for free:&lt;br /&gt;
*basics of programming on SAS Base [https://support.sas.com/edu/schedules.html?id=2588&amp;amp;ctry=RU link to the course]&lt;br /&gt;
*basics of statistical analysis using SAS software[https://support.sas.com/edu/schedules.html?id=5235&amp;amp;ctry=RU link to the course]&lt;br /&gt;
&lt;br /&gt;
Students who are willing to spend extra time learning to program in SAS can try to take a professional certification within the SCYP program for free (SAS® Software Certified Young Professionals) [https://www.sas.com/sas/training/scyp.html link to the course].&lt;br /&gt;
&lt;br /&gt;
== Лекции ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
  &#039;&#039;&#039;суббота      &#039;&#039;&#039;&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
&#039;&#039;&#039;      ПАД и МИЭФ - 13:00 - 14:30; &amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;ПМИ, Экономика, Экономика и статистика, МК - 14:40 - 16:10 &#039;&#039;&#039;&amp;lt;br /&amp;gt;&lt;br /&gt;
&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;ссылка на подключение к лекции&#039;&#039;&#039; - https://zoom.us/j/99220349786?pwd=WjFZTEFiQzA4b1lzVmVDbXdmNVMwUT09&amp;lt;br /&amp;gt;&lt;br /&gt;
Идентификатор конференции: 992 2034 9786&amp;lt;br /&amp;gt;&lt;br /&gt;
Код доступа: 476860&amp;lt;br /&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
! Название раздела !! Тема !! Дата для 3 и 4 курса !! Презентация!! Запись &lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Введение в клиентскую и онлайн аналитику || 15.01.2022  ||  || [https://drive.google.com/file/d/1nEbogpqbZBBrjOJy-sVmq4SdVn_svef6/view?usp=sharing Лекция №1 - рус]&lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Построение прогнозных моделей и визуализация данных || 22.01.2022  ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Введение в задачи анализа текстовых данных || 29.01.2022  ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Инструменты и методы текстовой аналитики || 05.02.2022 ||  ||  &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Введение в задачи анализа данных в ритейле. Прогнозирование спроса || 12.02.2022 || ||  &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Описательная аналитика в Ритейл: кластеризация магазинов, сегментация товаров, восстановление спроса|| 19.02.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Задачи оптимизации запасов товаров в ритейл-сети, оптимизация цен, оптимизация ассортимента  || 26.02.2022  ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в кредитные риски  || 5.03.2022   ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в рыночные риски || 12.03.2022   ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Валидация моделей || 19.03.2022   ||  || &lt;br /&gt;
|-&lt;br /&gt;
| ModelOps || Операционализация моделей машинного обучения || 26.03.2022  ||  || &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Семинары ==&lt;br /&gt;
&lt;br /&gt;
 &#039;&#039;&#039;суббота   &lt;br /&gt;
&#039;&#039;&#039;Группа ФЭН 3 курс - 9:30,&amp;lt;br /&amp;gt; Группы ФЭН 4 курс - 11:10,&amp;lt;br /&amp;gt; Группа ПМИ+МК - 16:20,&amp;lt;br /&amp;gt;&lt;br /&gt;
&#039;&#039;&#039;Группа ПАД 1 и МИЭФ - 18:10,&amp;lt;br /&amp;gt; Группа ПАД 2  - 19:40&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ссылка на подключение к семинару&#039;&#039;&#039; - https://zoom.us/j/99220349786?pwd=WjFZTEFiQzA4b1lzVmVDbXdmNVMwUT09&amp;lt;br /&amp;gt;&lt;br /&gt;
Идентификатор конференции: 992 2034 9786&amp;lt;br /&amp;gt;&lt;br /&gt;
Код доступа: 476860&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;ссылка на доп.материалы&#039;&#039;&#039; - [https://drive.google.com/drive/folders/1UNGRXQLbulMkvc-yexPHqZauGvwVJF17?usp=sharing к семинарским занятиям]&amp;lt;br /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Название раздела !! Тема !! Дата для ПМИ, ПАД, МИЭФ и МК !! Дата для ФЭН  !!  Презентация !! Запись &lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Введение в клиентскую и онлайн аналитику || 15.01.2022 || 22.01.2022 ||  || [https://drive.google.com/file/d/1j9-eoZSxLfprqsg_cpqnUfTNLwt_Rhpn/view?usp=sharing Семинар №1 - рус]&lt;br /&gt;
|-&lt;br /&gt;
| Клиентская аналитика || Построение прогнозных моделей и визуализация данных ||22.01.2022 || 29.01.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Введение в задачи анализа текстовых данных || 29.01.2022 || 05.02.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Текстовая аналитика || Инструменты и методы текстовой аналитики || 05.02.2022 || 12.02.2022 ||  ||&lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Введение в задачи анализа данных в ритейле. Прогнозирование спроса || 12.02.2022 || 19.02.2022 ||  ||  &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Описательная аналитика в Ритейл: кластеризация магазинов, сегментация товаров, восстановление спроса || 19.02.2022 || 26.02.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Задачи анализа данных в розничных сетях продаж товаров || Задачи оптимизации запасов товаров в ритейл-сети, оптимизация цен, оптимизация ассортимента || 26.02.2022 || 5.03.2022 || || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в кредитные риски || 5.03.2022 || 12.03.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Введение в рыночные риски || 12.03.2022 || 19.03.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| Основы оценки рисков || Валидация моделей || 19.03.2022 || 26.03.2022 ||  || &lt;br /&gt;
|-&lt;br /&gt;
| ModelOps || Операционализация моделей машинного обучения || 26.03.2022 || 2.04.2022 ||  || &lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Отчётность по курсу и критерии оценки ==&lt;br /&gt;
&lt;br /&gt;
В курсе предусмотрено несколько форм контроля знания:&lt;br /&gt;
* 3 практических домашних задания &lt;br /&gt;
* Письменный экзамен, вопросы в виде теста с вариантами ответов&lt;br /&gt;
* Командный проект ( только для 3 курса )&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Критерии оценки знаний, навыков&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*Оценки за все домашние задания выставляются по 2-балльной шкале, где «2» — задание решено полностью, «1» — задание решено не полностью или с недочётами, «0» — задание не решено или решено неверно. &lt;br /&gt;
&lt;br /&gt;
Если домашнее задание разбито на несколько частей, то каждая часть оценивается по 2-балльной шкале как описано выше, а затем оценки усредняются с равными весами без округления. &lt;br /&gt;
&lt;br /&gt;
Перевод оценки за домашние задания из 2-балльной шкалы в 10-балльную проводится путём умножения оценки на 5 без округления. &lt;br /&gt;
&lt;br /&gt;
*Оценка за экзамен выставляется по 10-балльной шкале. &lt;br /&gt;
&lt;br /&gt;
*Оценка за командный проект выставляется по 10-балльной шкале.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Порядок формирования оценок по дисциплине&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Пусть оценки за 3 домашних задания по 10-балльной шкале —  &#039;&#039;&#039;O_1,O_2,O_3,&#039;&#039;&#039; а оценка за экзамен в конце первого модуля по 10-балльной шкале — &#039;&#039;&#039;O_экз&#039;&#039;&#039;. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Итоговая оценка для студентов &#039;&#039;4 курса&#039;&#039; &#039;&#039;&#039;O_итог&#039;&#039;&#039; рассчитывается по формуле&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;O_итог = 0.225 * O_1 + 0.225 * O_2 + 0.225 * O_3 + 0.325 * O_экз&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Итоговая оценка для студентов &#039;&#039;3 курса&#039;&#039; в первом модуле &#039;&#039;&#039;O_мод&#039;&#039;&#039; рассчитывается по формуле&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;O_мод = 0.1 * O_1 + 0.1 * O_2 + 0.1 * O_3 + 0.2 * O_экз&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Оценка за проект во втором модуле &#039;&#039;&#039;O_пр&#039;&#039;&#039; выставляется по 10-балльной шкале по итогам защиты проекта. &lt;br /&gt;
&lt;br /&gt;
Итоговая оценка &#039;&#039;&#039;O_итог&#039;&#039;&#039; определяется по формуле &#039;&#039;&#039;O_итог = O_мод + 0.5 * O_пр&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Округление происходит только в самом конце — в итоговой оценке. Округление арифметическое. &lt;br /&gt;
 &lt;br /&gt;
Каждое задание и экзамен оцениваются по 10-балльной шкале (по заданиям допускается дробная оценка). За некоторые задания можно будет получить бонусные баллы, о чем будет объявляться при выдаче задания.&lt;br /&gt;
&lt;br /&gt;
== Домашние задания ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Домашнее задание №1&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Задание состоит из 2 частей:&lt;br /&gt;
&lt;br /&gt;
1. Исследование данных и обработка данных для проведения последующей сегментации;&lt;br /&gt;
&lt;br /&gt;
2. Составить профили клиентов на основе проведенных сегментаций (использовать минимум 2 метода сегментации).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Пример подробного описания Домашнего задания №1 2020-2021 уч.года с примерами и результатами [https://drive.google.com/file/d/16WFqo1xfPvnlGLwyorWFGdiL2ZM8xp8D/view?usp=sharing читай в приложенном файле]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Каждый студент выбирает вариант, который указан напротив его ФИО в списке&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/19HGjq6sUJ__0Cg0akOr7AIivKvIRh7ttas_9QE4Q3E0/edit?usp=sharing по ссылке]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Варианты и описание данных представлены  [https://drive.google.com/open?id=1jxwwFMEHVh91ZKx5_PqnMSUlsICytIbI в папке по ссылке]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Для того, чтобы получить оценку, требуется:&lt;br /&gt;
&lt;br /&gt;
1. Прислать архив с файлами, где производились все расчеты и сопроводительное письмо с выводами и комментариями по&lt;br /&gt;
каждой части:&lt;br /&gt;
&lt;br /&gt;
* Расчеты могут производиться через код (python/sas/sql), сводные таблицы и формулы в excel или проект SAS Viya;&lt;br /&gt;
* Все выводы необходимо подтверждать визуально интерпретируемыми графиками и данными.&lt;br /&gt;
&lt;br /&gt;
2. Архив (.zip) с файлами требуется отправить на почту ntitova@hse.ru с темой «ФКН ВШЭ»&lt;br /&gt;
&lt;br /&gt;
3. Название файла требуется отправлять по шаблону &amp;lt;Имя&amp;gt;_&amp;lt;Фамилия&amp;gt;_&amp;lt;номер группы&amp;gt;_hw1.zip.&lt;br /&gt;
&lt;br /&gt;
Пример, Alexander_Sharipov_156_hw1&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Оценка за  домашнее задание  №1&#039;&#039;&#039; выставляется по 10-балльной шкале, где:&lt;br /&gt;
&lt;br /&gt;
«8-10» — задание решено полностью, выполнены все 2 части домашней работы:&lt;br /&gt;
* проведен анализ данных, предоставлен рабочий код и таблицы по исследованию данных;&lt;br /&gt;
* построены сегментации 2-мя методами;&lt;br /&gt;
* предоставлены понятные выводы с подтверждёнными данными (таблицы, графики);&lt;br /&gt;
&lt;br /&gt;
«6-7» —задание решено неполностью или с недочётами:&lt;br /&gt;
* проведен анализ данных, предоставлен рабочий код и таблицы по исследованию данных;&lt;br /&gt;
* построена сегментация хотя бы одним методом;&lt;br /&gt;
* предоставлены понятные выводы с подтверждёнными данными (таблицы, графики);&lt;br /&gt;
&lt;br /&gt;
«4-5» —задание решено с существенными недочетами,&lt;br /&gt;
* проведен анализ данных, предоставлен рабочий код и таблицы по исследованию данных;&lt;br /&gt;
* выявлены верхнеуровневые зависимости и закономерности по клиентам без построения модели сегментации;&lt;br /&gt;
&lt;br /&gt;
«0-3» — задание не решено или решено неверно.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Срок сдачи – 2 недели (19 февраля 2022 23:59).&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Домашнее задание №2&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Описание ДЗ 2 находится в файле [https://drive.google.com/file/d/1R6BLH40CLk7uewRn02JlGj64Ov2peJgK/view?usp=sharing по ссылке]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Срок сдачи – 12 марта 2022 23:59.&#039;&#039;&lt;br /&gt;
Решения присылать на почту aromanenko@hse.ru&lt;br /&gt;
&lt;br /&gt;
В теме письма обязательно должно быть следующее:  ВШЭ + Номер курса+номер_вариант+ФИО. &lt;br /&gt;
&lt;br /&gt;
В названии файла необходимо указать:&lt;br /&gt;
*Номер курса&lt;br /&gt;
*Номер варианта&lt;br /&gt;
*ФИО&lt;br /&gt;
&lt;br /&gt;
Пример: «ПМИ_3курс_Вариант_8_ИвановИванИванович»&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Домашнее задание №3&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Необходимо построить скориниговую модель, оценивающую вероятность дефолта клиента на стадии заведения кредитной заявки.&lt;br /&gt;
Для этого необходимо:&lt;br /&gt;
&lt;br /&gt;
0. Скачать данные по ссылке https://drive.google.com/drive/u/0/folders/16CMyPnLu7Fv7IgsYOZimQK-7MaFZEWEZ&lt;br /&gt;
&lt;br /&gt;
Каждый студент выбирает 2 выборки &amp;quot;accept&amp;quot; и &amp;quot;reject&amp;quot;, которые начинаются с варианта студента. &lt;br /&gt;
Номера вариантов для ДЗ №3 необходимо взять  такие же как и для ДЗ №1&lt;br /&gt;
&lt;br /&gt;
Выполненное задание необходимо отправить в следующем виде:&lt;br /&gt;
&lt;br /&gt;
1) Файл/скрипты с построенными моделями (обязательно должны быть комментарии, без комментариев задание считается нерешенным)&lt;br /&gt;
&lt;br /&gt;
2) Excel файл с ответами на следующие вопросы: &lt;br /&gt;
&lt;br /&gt;
1. Какая доля 1 в выборке &amp;quot;accept&amp;quot;?&lt;br /&gt;
&lt;br /&gt;
2. Необходимо рассчитать для всех интервальных переменных следующее:&lt;br /&gt;
  - Доля пропущенных значений &lt;br /&gt;
  - Медиана&lt;br /&gt;
  - Среднее&lt;br /&gt;
  - Среднеквадратическое отклонение&lt;br /&gt;
  - Есть ли аномальные значения, выбросы? &lt;br /&gt;
  - Information Value&lt;br /&gt;
3. Необходимо рассчитать для всех категориальных переменных следующее:&lt;br /&gt;
  - Мода&lt;br /&gt;
  - Доля пропущенных значений&lt;br /&gt;
  - Information Value&lt;br /&gt;
  - Есть ли выбросы, аномальные значений&lt;br /&gt;
4. Построить логистическую регрессию только на одобренных заявках с преобразованными переменными WoE. Какое значение GINI? F1 мера?&lt;br /&gt;
&lt;br /&gt;
5. Провести анализ Reject Inference. Какая доля отказанных заявок? &lt;br /&gt;
&lt;br /&gt;
6. Построить логистическую регрессию на всех заявках с преобразованными переменными WoE. Какое значение GINI, F1? Изменилась ли модель? &lt;br /&gt;
&lt;br /&gt;
7. Какую модель вы рекомендуете для внедрения в продуктивную среду? Дать развернутое пояснение&lt;br /&gt;
  &lt;br /&gt;
&lt;br /&gt;
Оценка за  домашние задания  №3 выставляется по 2-балльной шкале, где «2» — задание решено полностью, «1» — задание решено не полностью или с недочётами, «0» — задание не решено или решено неверно.&lt;br /&gt;
Перевод оценки за домашние задания из 2-балльной шкалы в 10-балльную проводится путём умножения оценки на 5 без округления.&lt;br /&gt;
&lt;br /&gt;
За домашнюю работу №3  будут выставляться оценки:&lt;br /&gt;
«2» – правильно построена модель и на выборке accept, и на выборке reject. Даны верные ответы.&lt;br /&gt;
«1,6» – правильно построена модель и на выборке accept, и на выборке reject. 50% ответов верные.&lt;br /&gt;
«1,4» – правильно построена модель и на выборке accept, и на выборке reject. Даны неверные ответы&lt;br /&gt;
«1» - построена модель только на выборке accept. &lt;br /&gt;
«0,8» - задание решено не полностью. 50% ответов верные.&lt;br /&gt;
«0» — задание не решено или решено неверно.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;Срок сдачи –  до 26.03.2022 включительно&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Решения присылать на почту msvorobeva@hse.ru &lt;br /&gt;
В теме письма обязательно должно быть следующее:  ВШЭ + Номер курса+номер_вариант+ФИО. &lt;br /&gt;
&lt;br /&gt;
В названии файла необходимо указать:&lt;br /&gt;
*Номер курса&lt;br /&gt;
*Номер варианта&lt;br /&gt;
*ФИО&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Пример: «ПМИ_3курс_Вариант_8_ИвановИванИванович»&lt;br /&gt;
&lt;br /&gt;
Если работы будут повторять друг друга, обе работы будут считаться нерешенными.&lt;br /&gt;
&lt;br /&gt;
== Командный проект для 3 курса ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Выбор темы для командного проекта по курсу &amp;quot;Анализ данных в бизнесе&amp;quot; &#039;&#039;&#039;&lt;br /&gt;
 &lt;br /&gt;
Студенты делятся на группы по 3 человека. В дальнейшем 2-3 группы могут соединить в одну. Внутри группы должен быть определен капитан команды - ответственное лицо группы. &lt;br /&gt;
&lt;br /&gt;
Ответственное лицо отвечает за выполнение и результат следующих основных функций:&lt;br /&gt;
*  отправка заявки на тему проекта и согласование темы проекта от лица всей группы с преподавателями;&lt;br /&gt;
*  предоставление информации куратору о текущем статусе проекта: учет, распределение и контроль выполнения задания по проекту;&lt;br /&gt;
*  отправка отчетов, презентаций, технической документации по выполненными работам группы в электронном виде.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Описания тем проектов: [https://docs.google.com/document/d/1p_gECsEVi95_3-WW2eBJaA3yEGCJBzejDILSkPQDX7c/edit?usp=sharing ссылка на файл]&lt;br /&gt;
&lt;br /&gt;
Ссылка на форму подачи заявки на тему: [https://forms.gle/QG2SwvYZ5tN2Pwow5 ссылка на файл]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Сроки выбора тем:&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;До 17 апреля группа должна  выбрать две темы из указанного списка&#039;&#039;&#039;, указав первый и второй приоритет для этих тем.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;18 апреля - каждой группе, которая подала заявку на проект, через указанную форму, будет назначена тема проекта и куратор.&#039;&#039;&#039; При назначении тем будут учитываться приоритеты указанные студентами, а также средний балл студентов в группе по первому модулю курса. На одну тему назначается не более 3-х групп студентов.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
При возникновении вопросов пишите в Telegram Титовой Наталии.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Итогом каждого проекта должна быть презентация результатов проекта на 10-15 минут. &lt;br /&gt;
&lt;br /&gt;
Защита проекта для ПАД и МИЭФ будет в середине мая  (17-22 мая), а также для всех желающих, которые готовы будут защититься. &lt;br /&gt;
&lt;br /&gt;
Финальная защита для ПМИ, ФЭН  пройдет в середине июня (15-19 июня) до начала сессии. &lt;br /&gt;
&lt;br /&gt;
Оценка за проект во втором модуле выставляется по 10-балльной шкале по итогам защиты проекта.&lt;br /&gt;
&lt;br /&gt;
Те студенты, которые не нашли себе группу  тоже подают заявку на тему, но на одного себя. Мы сами соединим с группой по схожей теме.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Даты защиты учебных проектов в 4 модуле:&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Защиты проектов пройдут с 17 по 19 июня 2021 года.&lt;br /&gt;
&lt;br /&gt;
В файле по ссылке вы найдете список проектных групп с привязкой к дате и времени защиты, а так же ссылки для подключения к самим защитам. &lt;br /&gt;
&lt;br /&gt;
[https://docs.google.com/spreadsheets/d/127uq1MwiwZlPahfLj1AwBAuxMdpp44EM6hlYiLnYKyI/edit?usp=sharing Командные проекты - даты защит по группам и ссылки на подключение.]&lt;br /&gt;
&lt;br /&gt;
== Задать вопрос по курсу ==&lt;br /&gt;
&#039;&#039;&#039;Вопросы&#039;&#039;&#039; по курсу можно задавать в telegram чат курса, преподавателю курса Титовой Наталии @Natalitics или менеджеру кафедры SAS Лобок Татьяне @tatianalobok (tlobok@hse.ru).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Канал в telegram для объявлений: https://t.me/+Lj-yHhfNJTQxYWEy&lt;br /&gt;
&lt;br /&gt;
Чат в telegram для обсуждений: https://t.me/+a1VMTe2xwNA5Mzcy&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039; Все объявления и материалы по курсу будут выкладываться в чате и в канале telegram! &#039;&#039;&#039;&lt;br /&gt;
Преподаватели в чате бывают, но не всегда. &lt;br /&gt;
По всем важным вопросам стоит писать преподавателю Титовой Наталии в чате telegram @Natalitics или на почту Natalia.Titova@sas.com. В название письма обязательно добавлять тег [ПМИ ФКН ВШЭ/ПАД ФКН ВШЭ/МИЭФ ФКН ВШЭ/Эк ФЭН ВШЭ/ЭкСт ФЭН ВШЭ], а также указывать свою фамилию и имя.&lt;br /&gt;
&lt;br /&gt;
Все приведенные файлы предназначены для использования студентами во время обучения и обновляются в течение года.&lt;br /&gt;
По найденным опечаткам, неточностям, сбоям работы странички просьба писать на электронную почту tlobok@hse.ru.&lt;br /&gt;
&lt;br /&gt;
== Материалы по курсу ==&lt;br /&gt;
&#039;&#039;&#039;Документы и программа курса&#039;&#039;&#039;  &lt;br /&gt;
&#039;&#039;Внимание: файлы обновляются!&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*Рабочая программа дисциплины для 3 и 4 курса можно найти по следующей [https://docs.google.com/document/d/1Sh-KjlZlAmk1kIEndmM7mF7nAj6iL6ZI/edit?usp=sharing&amp;amp;ouid=109416058723510784590&amp;amp;rtpof=true&amp;amp;sd=true ссылке]. &lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;&#039;[https://drive.google.com/open?id=1J7MHkux4wBq828_6Lg3trCmkxdutXV1K Инструкция по подключению к SAS OnDemand  и скачиванию ПО SAS]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*[https://drive.google.com/open?id=1ANDlimb5hp4ds0sUcReR6xq5sVrcX5n9 Лекции и семинары]  &#039;&#039;Внимание: файлы в папке обновляются!&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
== Рекомендуемая литература и полезные дополнительные материалы ==&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Полезные материалы&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
*[https://support.sas.com/en/software/enterprise-guide.html#freetutorials Обучающий портал с дополнительной литературой для работы с SAS Enterprise Guide]&lt;br /&gt;
*[https://habr.com/company/sas/blog/ Блок компании  SAS  на хабре (Основы программирования на SAS Base)]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Полезная литература&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;К разделу 1:&#039;&#039;&lt;br /&gt;
*[https://www.sas.com/store/books/categories/business-concepts-leadership/data-mining-techniques-for-marketing-sales-and-customer-relationship-management-third-edition/prodBK_64447_en.html Data Mining Techniques: For Marketing, Sales, and Customer Relationship Management, Third Edition Michael J. A. Berry Gordon S. Linoff ]&lt;br /&gt;
*[https://www.springer.com/gp/book/9780387725789  Database Marketing. Analyzing and Managing Customers, Blattberg, Robert C., Kim, Byung-Do, Neslin, Scott A. ]&lt;br /&gt;
&lt;br /&gt;
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&#039;&#039;К разделу 2:&#039;&#039;&lt;br /&gt;
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* Шапиро Дж (2006). Моделирование цепи поставок. Питер. Серия «Теория менеджмента».&lt;br /&gt;
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* Christoffersen P. (2012) Elements of Financial Risk Management. 2nd ed. Elseiver Academic Press.&lt;br /&gt;
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* Мортон С. (2016) Лаборатория презентаций. Формула идеального выступления. Альпина Паблишер.&lt;br /&gt;
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== Контакты  ==&lt;br /&gt;
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tlobok@hse.ru&lt;/div&gt;</summary>
		<author><name>GBuzilov</name></author>
	</entry>
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