Wiki - Факультет компьютерных наук - Вклад [ru]

Differential Equations DSBA 2025/2026

2026-06-12T10:31:23Z

Tschzhou 3:

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 15th of April 2026. The theoretical questions for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link].

Please also refer to the [https://drive.google.com/file/d/12v_6lrjC5kbmxHuld1WazdY_OqlcR2DO/view?usp=sharing lecture notes] for preparation.

=== '''Consultation''' ===

There will be an online consultation on the '''11th of April 2026''' at '''18:10'''. [https://us06web.zoom.us/j/81285842535?pwd=O4pJ7GLtAckaR1nKvIBfXUzau6HMID.1 Link] for connection

== Final exam ==

=== Demoversion===

Demo version of the upcoming final exam can be found by [https://drive.google.com/file/d/1tz9lieD8_97po4qDAH3Rk-ui2ii9G5Qm/view?usp=share_link link]

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

Homework can be submitted as pdf file, if the solutions are written by hand on a tablet, otherwise - scan of the handwritten work.

Homework defense is voluntary or if cheating is suspected.

==== Consultation ====

There will be consultation sessions on homework in room '''T920''' on:

1) June 9 (Tuesday) 10:00 - 14:00

2) June 10 (Wednesday) 14:00 - 18:00

3) June 11 (Thursday) 11:00 - 13:15 '''and''' 17:30 - 19:00

==== '''Classroom Links For HW'''====

[https://classroom.google.com/c/ODY3NDM4ODMxMDk4?cjc=c2oqhnm5 Group 241]

[https://classroom.google.com/c/Nzk4MTM4NDUwNTYy?cjc=mioghnon Group 242]

[https://classroom.google.com/c/Nzk4MTM4NDkzMTIw?cjc=grpobfaf Group 243]

[https://classroom.google.com/c/Nzk4MTM4Mzk0OTMx?cjc=ythpo7vz Group 245]

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

[https://drive.google.com/file/d/1eAUTQ9FFpEqszr-R9QywiH6tfofOBAUm/view?usp=share_link Quiz 5] 25.05.2026 - 31.05.2026

=== Lecture Examples 2026 ===

[https://drive.google.com/file/d/1Os7UnKHS3QvR_HL4HrVgKw9bGjh2H-QF/view?usp=share_link Light Geodesics Around a Schwarzschild Black Hole]

[https://drive.google.com/file/d/1lcLmNmVSr27gPZw_bTNAkA-p1sMoGcn5/view?usp=share_link Runge-Kutta Methods vs PINNs on the Logistic Equation]

[https://drive.google.com/file/d/1F2XHhQTUXw1jRL24DuLJd5mpisoqfP6E/view?usp=share_link Inverse Problem for the SIR Model via Sensitivity Equations]

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-06-09T16:26:49Z

Tschzhou 3: /* Home assignment 2026 */

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 15th of April 2026. The theoretical questions for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link].

Please also refer to the [https://drive.google.com/file/d/12v_6lrjC5kbmxHuld1WazdY_OqlcR2DO/view?usp=sharing lecture notes] for preparation.

=== '''Consultation''' ===

There will be an online consultation on the '''11th of April 2026''' at '''18:10'''. [https://us06web.zoom.us/j/81285842535?pwd=O4pJ7GLtAckaR1nKvIBfXUzau6HMID.1 Link] for connection

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

Homework can be submitted as pdf file, if the solutions are written by hand on a tablet, otherwise - scan of the handwritten work.

Homework defense is voluntary or if cheating is suspected.

==== Consultation ====

There will be consultation sessions on homework in room '''T920''' on:

1) June 9 (Tuesday) 10:00 - 14:00

2) June 10 (Wednesday) 14:00 - 18:00

3) June 11 (Thursday) 11:00 - 13:15 '''and''' 17:30 - 19:00

==== '''Classroom Links For HW'''====

[https://classroom.google.com/c/ODY3NDM4ODMxMDk4?cjc=c2oqhnm5 Group 241]

[https://classroom.google.com/c/Nzk4MTM4NDUwNTYy?cjc=mioghnon Group 242]

[https://classroom.google.com/c/Nzk4MTM4NDkzMTIw?cjc=grpobfaf Group 243]

[https://classroom.google.com/c/Nzk4MTM4Mzk0OTMx?cjc=ythpo7vz Group 245]

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

[https://drive.google.com/file/d/1eAUTQ9FFpEqszr-R9QywiH6tfofOBAUm/view?usp=share_link Quiz 5] 25.05.2026 - 31.05.2026

=== Lecture Examples 2026 ===

[https://drive.google.com/file/d/1Os7UnKHS3QvR_HL4HrVgKw9bGjh2H-QF/view?usp=share_link Light Geodesics Around a Schwarzschild Black Hole]

[https://drive.google.com/file/d/1lcLmNmVSr27gPZw_bTNAkA-p1sMoGcn5/view?usp=share_link Runge-Kutta Methods vs PINNs on the Logistic Equation]

[https://drive.google.com/file/d/1F2XHhQTUXw1jRL24DuLJd5mpisoqfP6E/view?usp=share_link Inverse Problem for the SIR Model via Sensitivity Equations]

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-06-09T13:59:10Z

Tschzhou 3: /* Home assignment 2026 */

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 15th of April 2026. The theoretical questions for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link].

Please also refer to the [https://drive.google.com/file/d/12v_6lrjC5kbmxHuld1WazdY_OqlcR2DO/view?usp=sharing lecture notes] for preparation.

=== '''Consultation''' ===

There will be an online consultation on the '''11th of April 2026''' at '''18:10'''. [https://us06web.zoom.us/j/81285842535?pwd=O4pJ7GLtAckaR1nKvIBfXUzau6HMID.1 Link] for connection

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

Homework can be submitted as pdf file, if the solutions are written by hand on a tablet, otherwise - scan of the handwritten work.

Homework defense is voluntary or if cheating is suspected.

==== Consultation ====

There will be consultation sessions on homework in room '''T920''' on:

1) June 9 (Tuesday) 10:00 - 14:00

2) June 10 (Wednesday) 14:00 - 18:00

3) June 11 (Thursday) 10:00 - 14:00 '''and''' 15:00 - 19:00

==== '''Classroom Links For HW'''====

[https://classroom.google.com/c/ODY3NDM4ODMxMDk4?cjc=c2oqhnm5 Group 241]

[https://classroom.google.com/c/Nzk4MTM4NDUwNTYy?cjc=mioghnon Group 242]

[https://classroom.google.com/c/Nzk4MTM4NDkzMTIw?cjc=grpobfaf Group 243]

[https://classroom.google.com/c/Nzk4MTM4Mzk0OTMx?cjc=ythpo7vz Group 245]

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

[https://drive.google.com/file/d/1eAUTQ9FFpEqszr-R9QywiH6tfofOBAUm/view?usp=share_link Quiz 5] 25.05.2026 - 31.05.2026

=== Lecture Examples 2026 ===

[https://drive.google.com/file/d/1Os7UnKHS3QvR_HL4HrVgKw9bGjh2H-QF/view?usp=share_link Light Geodesics Around a Schwarzschild Black Hole]

[https://drive.google.com/file/d/1lcLmNmVSr27gPZw_bTNAkA-p1sMoGcn5/view?usp=share_link Runge-Kutta Methods vs PINNs on the Logistic Equation]

[https://drive.google.com/file/d/1F2XHhQTUXw1jRL24DuLJd5mpisoqfP6E/view?usp=share_link Inverse Problem for the SIR Model via Sensitivity Equations]

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-06-09T09:08:23Z

Tschzhou 3: /* Classroom Links */

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 15th of April 2026. The theoretical questions for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link].

Please also refer to the [https://drive.google.com/file/d/12v_6lrjC5kbmxHuld1WazdY_OqlcR2DO/view?usp=sharing lecture notes] for preparation.

=== '''Consultation''' ===

There will be an online consultation on the '''11th of April 2026''' at '''18:10'''. [https://us06web.zoom.us/j/81285842535?pwd=O4pJ7GLtAckaR1nKvIBfXUzau6HMID.1 Link] for connection

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

==== Consultation ====

There will be consultation sessions on homework in room '''T920''' on:

1) June 9 (Tuesday) 10:00 - 14:00

2) June 10 (Wednesday) 14:00 - 18:00

3) June 12 (Friday) 10:00 - 14:00 '''and''' 15:00 - 19:00

==== '''Classroom Links For HW'''====

[https://classroom.google.com/c/ODY3NDM4ODMxMDk4?cjc=c2oqhnm5 Group 241]

[https://classroom.google.com/c/Nzk4MTM4NDUwNTYy?cjc=mioghnon Group 242]

[https://classroom.google.com/c/Nzk4MTM4NDkzMTIw?cjc=grpobfaf Group 243]

[https://classroom.google.com/c/Nzk4MTM4Mzk0OTMx?cjc=ythpo7vz Group 245]

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

[https://drive.google.com/file/d/1eAUTQ9FFpEqszr-R9QywiH6tfofOBAUm/view?usp=share_link Quiz 5] 25.05.2026 - 31.05.2026

=== Lecture Examples 2026 ===

[https://drive.google.com/file/d/1Os7UnKHS3QvR_HL4HrVgKw9bGjh2H-QF/view?usp=share_link Light Geodesics Around a Schwarzschild Black Hole]

[https://drive.google.com/file/d/1lcLmNmVSr27gPZw_bTNAkA-p1sMoGcn5/view?usp=share_link Runge-Kutta Methods vs PINNs on the Logistic Equation]

[https://drive.google.com/file/d/1F2XHhQTUXw1jRL24DuLJd5mpisoqfP6E/view?usp=share_link Inverse Problem for the SIR Model via Sensitivity Equations]

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-06-09T09:08:02Z

Tschzhou 3: /* Home assignment 2026 */

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 15th of April 2026. The theoretical questions for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link].

Please also refer to the [https://drive.google.com/file/d/12v_6lrjC5kbmxHuld1WazdY_OqlcR2DO/view?usp=sharing lecture notes] for preparation.

=== '''Consultation''' ===

There will be an online consultation on the '''11th of April 2026''' at '''18:10'''. [https://us06web.zoom.us/j/81285842535?pwd=O4pJ7GLtAckaR1nKvIBfXUzau6HMID.1 Link] for connection

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

==== Consultation ====

There will be consultation sessions on homework in room '''T920''' on:

1) June 9 (Tuesday) 10:00 - 14:00

2) June 10 (Wednesday) 14:00 - 18:00

3) June 12 (Friday) 10:00 - 14:00 '''and''' 15:00 - 19:00

==== Classroom Links ====

[https://classroom.google.com/c/ODY3NDM4ODMxMDk4?cjc=c2oqhnm5 Group 241]

[https://classroom.google.com/c/Nzk4MTM4NDUwNTYy?cjc=mioghnon Group 242]

[https://classroom.google.com/c/Nzk4MTM4NDkzMTIw?cjc=grpobfaf Group 243]

[https://classroom.google.com/c/Nzk4MTM4Mzk0OTMx?cjc=ythpo7vz Group 245]

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

[https://drive.google.com/file/d/1eAUTQ9FFpEqszr-R9QywiH6tfofOBAUm/view?usp=share_link Quiz 5] 25.05.2026 - 31.05.2026

=== Lecture Examples 2026 ===

[https://drive.google.com/file/d/1Os7UnKHS3QvR_HL4HrVgKw9bGjh2H-QF/view?usp=share_link Light Geodesics Around a Schwarzschild Black Hole]

[https://drive.google.com/file/d/1lcLmNmVSr27gPZw_bTNAkA-p1sMoGcn5/view?usp=share_link Runge-Kutta Methods vs PINNs on the Logistic Equation]

[https://drive.google.com/file/d/1F2XHhQTUXw1jRL24DuLJd5mpisoqfP6E/view?usp=share_link Inverse Problem for the SIR Model via Sensitivity Equations]

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-06-03T14:04:58Z

Tschzhou 3: /* Home assignment 2026 */

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 15th of April 2026. The theoretical questions for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link].

Please also refer to the [https://drive.google.com/file/d/12v_6lrjC5kbmxHuld1WazdY_OqlcR2DO/view?usp=sharing lecture notes] for preparation.

=== '''Consultation''' ===

There will be an online consultation on the '''11th of April 2026''' at '''18:10'''. [https://us06web.zoom.us/j/81285842535?pwd=O4pJ7GLtAckaR1nKvIBfXUzau6HMID.1 Link] for connection

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

==== Consultation ====

There will be consultation sessions on homework in room '''T920''' on:

1) June 9 (Tuesday) 10:00 - 14:00

2) June 10 (Wednesday) 14:00 - 18:00

3) June 12 (Friday) 10:00 - 14:00 '''and''' 15:00 - 19:00

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

[https://drive.google.com/file/d/1eAUTQ9FFpEqszr-R9QywiH6tfofOBAUm/view?usp=share_link Quiz 5] 25.05.2026 - 31.05.2026

=== Lecture Examples 2026 ===

[https://drive.google.com/file/d/1Os7UnKHS3QvR_HL4HrVgKw9bGjh2H-QF/view?usp=share_link Light Geodesics Around a Schwarzschild Black Hole]

[https://drive.google.com/file/d/1lcLmNmVSr27gPZw_bTNAkA-p1sMoGcn5/view?usp=share_link Runge-Kutta Methods vs PINNs on the Logistic Equation]

[https://drive.google.com/file/d/1F2XHhQTUXw1jRL24DuLJd5mpisoqfP6E/view?usp=share_link Inverse Problem for the SIR Model via Sensitivity Equations]

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-05-21T09:47:03Z

Tschzhou 3: /* Quizzes 2026 */

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 15th of April 2026. The theoretical questions for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link].

Please also refer to the [https://drive.google.com/file/d/12v_6lrjC5kbmxHuld1WazdY_OqlcR2DO/view?usp=sharing lecture notes] for preparation.

=== '''Consultation''' ===

There will be an online consultation on the '''11th of April 2026''' at '''18:10'''. [https://us06web.zoom.us/j/81285842535?pwd=O4pJ7GLtAckaR1nKvIBfXUzau6HMID.1 Link] for connection

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

[https://drive.google.com/file/d/1eAUTQ9FFpEqszr-R9QywiH6tfofOBAUm/view?usp=share_link Quiz 5] 25.05.2026 - 31.05.2026

=== Lecture Examples 2026 ===

[https://drive.google.com/file/d/1Os7UnKHS3QvR_HL4HrVgKw9bGjh2H-QF/view?usp=share_link Light Geodesics Around a Schwarzschild Black Hole]

[https://drive.google.com/file/d/1lcLmNmVSr27gPZw_bTNAkA-p1sMoGcn5/view?usp=share_link Runge-Kutta Methods vs PINNs on the Logistic Equation]

[https://drive.google.com/file/d/1F2XHhQTUXw1jRL24DuLJd5mpisoqfP6E/view?usp=share_link Inverse Problem for the SIR Model via Sensitivity Equations]

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-05-15T08:46:04Z

Tschzhou 3: Lecture Examples

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 15th of April 2026. The theoretical questions for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link].

Please also refer to the [https://drive.google.com/file/d/12v_6lrjC5kbmxHuld1WazdY_OqlcR2DO/view?usp=sharing lecture notes] for preparation.

=== '''Consultation''' ===

There will be an online consultation on the '''11th of April 2026''' at '''18:10'''. [https://us06web.zoom.us/j/81285842535?pwd=O4pJ7GLtAckaR1nKvIBfXUzau6HMID.1 Link] for connection

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

=== Lecture Examples 2026 ===

[https://drive.google.com/file/d/1Os7UnKHS3QvR_HL4HrVgKw9bGjh2H-QF/view?usp=share_link Light Geodesics Around a Schwarzschild Black Hole]

[https://drive.google.com/file/d/1lcLmNmVSr27gPZw_bTNAkA-p1sMoGcn5/view?usp=share_link Runge-Kutta Methods vs PINNs on the Logistic Equation]

[https://drive.google.com/file/d/1F2XHhQTUXw1jRL24DuLJd5mpisoqfP6E/view?usp=share_link Inverse Problem for the SIR Model via Sensitivity Equations]

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-04-10T18:04:11Z

Tschzhou 3:

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 15th of April 2026. The theoretical questions for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link].

Please also refer to the [https://drive.google.com/file/d/12v_6lrjC5kbmxHuld1WazdY_OqlcR2DO/view?usp=sharing lecture notes] for preparation.

=== '''Consultation''' ===

There will be an online consultation on the '''11th of April 2026''' at '''18:10'''. [https://us06web.zoom.us/j/81285842535?pwd=O4pJ7GLtAckaR1nKvIBfXUzau6HMID.1 Link] for connection

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-04-09T15:33:43Z

Tschzhou 3:

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 8th of April 2026. The theoretical questions for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link].

Please also refer to the [https://drive.google.com/file/d/12v_6lrjC5kbmxHuld1WazdY_OqlcR2DO/view?usp=sharing lecture notes] for preparation.

=== '''Consultation''' ===

There will be an online consultation on the '''11th of April 2026''' at '''18:10'''. [https://us06web.zoom.us/j/81285842535?pwd=O4pJ7GLtAckaR1nKvIBfXUzau6HMID.1 Link] for connection

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-04-09T12:16:42Z

Tschzhou 3: /* Colloquium */

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 8th of April 2026. The theoretical questions for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link].

Please also refer to the [https://drive.google.com/file/d/12v_6lrjC5kbmxHuld1WazdY_OqlcR2DO/view?usp=sharing lecture notes] for preparation.

=== '''Consultation''' ===

There will be an online consultation on the '''10th of April 2026''' at '''18:00'''. [https://us06web.zoom.us/j/82783258165?pwd=VF7vX4M3p5xNaIIjHcZc5S8XfoZ46N.1 Link] for connection

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-03-18T16:17:52Z

Tschzhou 3:

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 8th of April 2026. The theoretical questions for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link].

Please also refer to the [https://drive.google.com/file/d/12v_6lrjC5kbmxHuld1WazdY_OqlcR2DO/view?usp=sharing lecture notes] for preparation.

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-03-18T15:46:34Z

Tschzhou 3: /* Colloquium */

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 8th of April 2026. The theoretical questions for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link]

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-03-18T15:44:40Z

Tschzhou 3: /* Colloquium */

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

Colloquium will be on the 8th of April 2026. The materials for preparation can be found by [https://drive.google.com/file/d/1bRhOpIy_vx6K6GHqeTOH0dY7UTDBuApT/view?usp=sharing link]

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-02-27T18:58:39Z

Tschzhou 3:

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1oZvOCKeIcFLgNzhFV8mba08ebMIgP1cR/view?usp=share_link Quiz 4] 09.03.2026 - 15.03.2026

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-02-26T14:33:14Z

Tschzhou 3:

== [https://www.hse.ru/ba/data/courses/1071075338.html Syllabus] ==

“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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Colloquium ==

== Final exam ==

== Materials ==

=== Home assignment 2026 ===
The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1Q8foR3Kjm372HaCuJFY00HQ25NIR9inS/view?usp=share_link Quiz 1] 26.01.2026 - 30.01.2026

[https://drive.google.com/file/d/1YSnc-e6XU_fwN-w2R8q26lYXFyndOcG3/view?usp=sharing Quiz 2] 09.02.2026 - 15.02.2026

[https://drive.google.com/file/d/1QRyvfBXrHpT4hBC-PcFT68j_N6XMwFkf/view?usp=sharing Quiz 3] 23.02.2026 - 01.03.2026

[https://drive.google.com/file/d/1siv6XpefwtbLqh4atNMpZOW4kwWZ9mpT/view?usp=share_link Quiz 4] 02.03.2026 - 08.03.2026

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1f4hOABHD9ETKZpd4fkY3ed2k-QF74S_KeOrqIETO6HY/edit?usp=sharing table]

== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.25 * colloquium + 0.35 * final_exam + 0.2 * homework + 0.2 * quiz

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions.

Differential Equations DSBA 2025/2026

2026-02-18T11:34:07Z

Tschzhou 3: /* Quizzes 2026 */

Differential Equations DSBA 2025/2026

2026-02-06T12:33:46Z

Tschzhou 3:

Differential Equations DSBA 2025/2026

2026-01-22T17:36:41Z

Tschzhou 3:

Differential Equations DSBA 2025/2026

2026-01-22T08:32:04Z

Tschzhou 3:

Differential Equations DSBA 2025/2026

2026-01-22T08:30:22Z

Tschzhou 3: /* Quizzes 2026 */

Differential Equations DSBA 2025/2026

2026-01-17T11:06:11Z

Tschzhou 3:

Differential Equations DSBA 2025/2026

2026-01-16T14:14:08Z

Tschzhou 3: /* Grading System */

Differential Equations DSBA 2025/2026

2026-01-16T14:13:02Z

Tschzhou 3: /* Syllabus */

Differential Equations DSBA 2025/2026

2026-01-16T14:12:07Z

Tschzhou 3: /* Seminars */

Differential Equations DSBA 2025/2026

2026-01-16T14:11:44Z

Tschzhou 3: /* Midterm test */

Differential Equations DSBA 2025/2026

2026-01-16T14:08:02Z

Tschzhou 3: /* Grading System */

Differential Equations DSBA 2025/2026

2026-01-16T14:07:09Z

Tschzhou 3: /* [Syllabus] */

Differential Equations DSBA 2025/2026

2026-01-16T14:03:52Z

Tschzhou 3: /* Grading System */

== [Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== Materials ==

=== Home assignments 2026 ===

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1PlbUaV94X9v4aJ-8VCZ3ZMmGndZbTim3/view?usp=sharing Quiz 1]

== Overall Results ==
Results can be found in the [ table]
== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.2 * Quiz + 0.3 * Colloquium + 0.3 * Final Exam + 0.2 * Homework

We use '''arithmetic rounding'''

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations DSBA 2025/2026

2026-01-16T14:01:01Z

Tschzhou 3: /* Teachers and Assistants */

== [Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244 || 245 || 246
|-
|| Lecturer ||colspan="6"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov] ([https://t.me/tarakanov517 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305077523/ Zhizhin Andrey] ([https://t.me/meh_heh tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Eric Golikov tg: [https://t.me/Gef0lt| @Gef0lt]
|| Evgeny Baulin tg: [https://t.me/evalbn| @evalbn]
|| Bogdan Uvarov tg: [https://t.me/lbananamanl| @lbananamanl]
|| Ekaterina Lashinina tg: [https://t.me/katushkkka| @katushkkka]
|| Ekaterina Mamakina tg: [https://t.me/katemamakina| @katemamakina]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== Materials ==

=== Home assignments 2026 ===

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1PlbUaV94X9v4aJ-8VCZ3ZMmGndZbTim3/view?usp=sharing Quiz 1]

== Overall Results ==
Results can be found in the [ table]
== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = TBD

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations DSBA 2025/2026

2026-01-16T13:44:49Z

Tschzhou 3:

== [Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [] ([]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| tg: []
|| tg: []
|| tg: []
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== Materials ==

=== Home assignments 2026 ===

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1PlbUaV94X9v4aJ-8VCZ3ZMmGndZbTim3/view?usp=sharing Quiz 1]

== Overall Results ==
Results can be found in the [ table]
== Grading System ==

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = TBD

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations DSBA 2025/2026

2026-01-15T15:16:30Z

Tschzhou 3: Создание странички для курса Differential Equations 2026

== [Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 241 !! 242 !! 243 !! 244
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [] ([]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| tg: []
|| tg: []
|| tg: []
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== Materials ==

=== Home assignments 2026 ===

=== Quizzes 2026 ===

[https://drive.google.com/file/d/1PlbUaV94X9v4aJ-8VCZ3ZMmGndZbTim3/view?usp=sharing Quiz 1]

== Overall Results ==
Results can be found in the [ table]
== Grading System ==

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.

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.3 * Home assignments + 0.3 * Midterm test + 0.4 * Final Exam

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations 2024/25

2025-06-17T19:56:36Z

Tschzhou 3: /* Final exam */

== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 231 !! 232 !! 233 !! 234
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/190260375/ Vasily Goncharenko] ([https://t.me/Vasgon72 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Maria Soboleva tg: [https://t.me/mashha_soboleval @mashha_soboleva]
|| Viktoria Fokina tg: [https://t.me/v_toriia @v_toriia]
|| Daria Bisina tg: [https://t.me/dashulkinnnn @dashulkinnnn]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==
Exam date is '''June 24'''

[https://drive.google.com/file/d/1zxhUJp4VVWkQ2OEDPVFBqa2DLsFXig4q/view?usp=sharing Demoversion 2025]

== UoL Materials ==

== Classroom Links ==
231: [https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54 https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54]

232:

233:

234:

=== Home assignments 2025 ===
[https://drive.google.com/drive/folders/1E0ipYBLYPPdF-BP0Y9-NlqqZV-rF6-yc?usp=sharing Homework assignment 1], due on 28 February

[https://drive.google.com/file/d/1jCawSXIfO-bdu3G-DXtqhamLyA-pE8a8/view?usp=sharing Homework assignment 2], due on 24 March

[https://drive.google.com/file/d/1We5-C6wr5At-T248fGv15JDTW6LSNdZe/view?usp=sharing Homework assignment 3], due on 30 April

[https://drive.google.com/file/d/1qrSk3fYl31YgHRCRceXRKHZjq9Y6jDZt/view?usp=sharing Homework assignment 4], due on 8 June

[https://drive.google.com/file/d/1KqVm_SenrAcFBliZJ8xqtzCpTirL4nBd/view?usp=sharing Homework assignment 5], due on 19 June

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1ZNZ1YKjiWO53R9EwPAv_IRBoUE24jCcV2FFqxwNHs3A/edit?usp=sharing table]
== Grading System ==

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.

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.3 * Home assignments + 0.3 * Midterm test + 0.4 * Final Exam

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations 2024/25

2025-06-08T09:46:11Z

Tschzhou 3: /* Home assignments 2025 */

== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 231 !! 232 !! 233 !! 234
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/190260375/ Vasily Goncharenko] ([https://t.me/Vasgon72 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Maria Soboleva tg: [https://t.me/mashha_soboleval @mashha_soboleva]
|| Viktoria Fokina tg: [https://t.me/v_toriia @v_toriia]
|| Daria Bisina tg: [https://t.me/dashulkinnnn @dashulkinnnn]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== UoL Materials ==

== Classroom Links ==
231: [https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54 https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54]

232:

233:

234:

=== Home assignments 2025 ===
[https://drive.google.com/drive/folders/1E0ipYBLYPPdF-BP0Y9-NlqqZV-rF6-yc?usp=sharing Homework assignment 1], due on 28 February

[https://drive.google.com/file/d/1jCawSXIfO-bdu3G-DXtqhamLyA-pE8a8/view?usp=sharing Homework assignment 2], due on 24 March

[https://drive.google.com/file/d/1We5-C6wr5At-T248fGv15JDTW6LSNdZe/view?usp=sharing Homework assignment 3], due on 30 April

[https://drive.google.com/file/d/1qrSk3fYl31YgHRCRceXRKHZjq9Y6jDZt/view?usp=sharing Homework assignment 4], due on 8 June

[https://drive.google.com/file/d/1KqVm_SenrAcFBliZJ8xqtzCpTirL4nBd/view?usp=sharing Homework assignment 5], due on 19 June

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1ZNZ1YKjiWO53R9EwPAv_IRBoUE24jCcV2FFqxwNHs3A/edit?usp=sharing table]
== Grading System ==

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.

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.3 * Home assignments + 0.3 * Midterm test + 0.4 * Final Exam

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations 2024/25

2025-05-10T03:55:09Z

Tschzhou 3: /* Home assignments 2025 */

== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 231 !! 232 !! 233 !! 234
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/190260375/ Vasily Goncharenko] ([https://t.me/Vasgon72 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Maria Soboleva tg: [https://t.me/mashha_soboleval @mashha_soboleva]
|| Viktoria Fokina tg: [https://t.me/v_toriia @v_toriia]
|| Daria Bisina tg: [https://t.me/dashulkinnnn @dashulkinnnn]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== UoL Materials ==

== Classroom Links ==
231: [https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54 https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54]

232:

233:

234:

=== Home assignments 2025 ===
[https://drive.google.com/drive/folders/1E0ipYBLYPPdF-BP0Y9-NlqqZV-rF6-yc?usp=sharing Homework assignment 1], due on 28 February

[https://drive.google.com/file/d/1jCawSXIfO-bdu3G-DXtqhamLyA-pE8a8/view?usp=sharing Homework assignment 2], due on 24 March

[https://drive.google.com/file/d/1We5-C6wr5At-T248fGv15JDTW6LSNdZe/view?usp=sharing Homework assignment 3], due on 30 April

[https://drive.google.com/file/d/1qrSk3fYl31YgHRCRceXRKHZjq9Y6jDZt/view?usp=sharing Homework assignment 4], due on 8 June

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1ZNZ1YKjiWO53R9EwPAv_IRBoUE24jCcV2FFqxwNHs3A/edit?usp=sharing table]
== Grading System ==

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.

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.3 * Home assignments + 0.3 * Midterm test + 0.4 * Final Exam

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations 2024/25

2025-04-15T10:39:57Z

Tschzhou 3: добавление дз

== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 231 !! 232 !! 233 !! 234
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/190260375/ Vasily Goncharenko] ([https://t.me/Vasgon72 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Maria Soboleva tg: [https://t.me/mashha_soboleval @mashha_soboleva]
|| Viktoria Fokina tg: [https://t.me/v_toriia @v_toriia]
|| Daria Bisina tg: [https://t.me/dashulkinnnn @dashulkinnnn]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== UoL Materials ==

== Classroom Links ==
231: [https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54 https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54]

232:

233:

234:

=== Home assignments 2025 ===
[https://drive.google.com/drive/folders/1E0ipYBLYPPdF-BP0Y9-NlqqZV-rF6-yc?usp=sharing Homework assignment 1], due on 28 February

[https://drive.google.com/file/d/1jCawSXIfO-bdu3G-DXtqhamLyA-pE8a8/view?usp=sharing Homework assignment 2], due on 24 March

[https://drive.google.com/file/d/1We5-C6wr5At-T248fGv15JDTW6LSNdZe/view?usp=sharing Homework assignment 3], due on 30 April

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1ZNZ1YKjiWO53R9EwPAv_IRBoUE24jCcV2FFqxwNHs3A/edit?usp=sharing table]
== Grading System ==

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.

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.3 * Home assignments + 0.3 * Midterm test + 0.4 * Final Exam

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations 2024/25

2025-03-10T12:53:45Z

Tschzhou 3: /* Home assignments 2025 */

== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 231 !! 232 !! 233 !! 234
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/190260375/ Vasily Goncharenko] ([https://t.me/Vasgon72 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Maria Soboleva tg: [https://t.me/mashha_soboleval @mashha_soboleva]
|| Viktoria Fokina tg: [https://t.me/v_toriia @v_toriia]
|| Daria Bisina tg: [https://t.me/dashulkinnnn @dashulkinnnn]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== UoL Materials ==

== Classroom Links ==
231: [https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54 https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54]

232:

233:

234:

=== Home assignments 2025 ===
[https://drive.google.com/drive/folders/1E0ipYBLYPPdF-BP0Y9-NlqqZV-rF6-yc?usp=sharing Homework assignment 1], due on 28 February

[https://drive.google.com/file/d/1jCawSXIfO-bdu3G-DXtqhamLyA-pE8a8/view?usp=sharing Homework assignment 2], due on 24 March

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1ZNZ1YKjiWO53R9EwPAv_IRBoUE24jCcV2FFqxwNHs3A/edit?usp=sharing table]
== Grading System ==

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.

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.3 * Home assignments + 0.3 * Midterm test + 0.4 * Final Exam

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations 2024/25

2025-03-10T12:53:32Z

Tschzhou 3: /* Home assignments 2025 */

== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 231 !! 232 !! 233 !! 234
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/190260375/ Vasily Goncharenko] ([https://t.me/Vasgon72 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Maria Soboleva tg: [https://t.me/mashha_soboleval @mashha_soboleva]
|| Viktoria Fokina tg: [https://t.me/v_toriia @v_toriia]
|| Daria Bisina tg: [https://t.me/dashulkinnnn @dashulkinnnn]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== UoL Materials ==

== Classroom Links ==
231: [https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54 https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54]

232:

233:

234:

=== Home assignments 2025 ===
[https://drive.google.com/drive/folders/1E0ipYBLYPPdF-BP0Y9-NlqqZV-rF6-yc?usp=sharing Homework assignment 1], due on 28 February

[https://drive.google.com/file/d/1jCawSXIfO-bdu3G-DXtqhamLyA-pE8a8/view?usp=sharing Homework assignment 2], due on 24 March

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1ZNZ1YKjiWO53R9EwPAv_IRBoUE24jCcV2FFqxwNHs3A/edit?usp=sharing table]
== Grading System ==

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.

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.3 * Home assignments + 0.3 * Midterm test + 0.4 * Final Exam

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations 2024/25

2025-03-10T12:53:14Z

Tschzhou 3: /* Home assignments 2025 */

== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 231 !! 232 !! 233 !! 234
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/190260375/ Vasily Goncharenko] ([https://t.me/Vasgon72 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Maria Soboleva tg: [https://t.me/mashha_soboleval @mashha_soboleva]
|| Viktoria Fokina tg: [https://t.me/v_toriia @v_toriia]
|| Daria Bisina tg: [https://t.me/dashulkinnnn @dashulkinnnn]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== UoL Materials ==

== Classroom Links ==
231: [https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54 https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54]

232:

233:

234:

=== Home assignments 2025 ===
[https://drive.google.com/drive/folders/1E0ipYBLYPPdF-BP0Y9-NlqqZV-rF6-yc?usp=sharing Homework assignment 1], due on 28 February
[https://drive.google.com/file/d/1jCawSXIfO-bdu3G-DXtqhamLyA-pE8a8/view?usp=sharing Homework assignment 2], due on 24 March

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1ZNZ1YKjiWO53R9EwPAv_IRBoUE24jCcV2FFqxwNHs3A/edit?usp=sharing table]
== Grading System ==

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.

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.3 * Home assignments + 0.3 * Midterm test + 0.4 * Final Exam

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations 2024/25

2025-02-08T12:34:57Z

Tschzhou 3: /* Home assignments 2025 */

== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 231 !! 232 !! 233 !! 234
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/190260375/ Vasily Goncharenko] ([https://t.me/Vasgon72 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Maria Soboleva tg: [https://t.me/mashha_soboleval @mashha_soboleva]
|| Viktoria Fokina tg: [https://t.me/v_toriia @v_toriia]
|| Daria Bisina tg: [https://t.me/dashulkinnnn @dashulkinnnn]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== UoL Materials ==

== Classroom Links ==
231: [https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54 https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54]

232:

233:

234:

=== Home assignments 2025 ===
[https://drive.google.com/drive/folders/1E0ipYBLYPPdF-BP0Y9-NlqqZV-rF6-yc?usp=sharing Homework assignment 1], due on 28 February

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1ZNZ1YKjiWO53R9EwPAv_IRBoUE24jCcV2FFqxwNHs3A/edit?usp=sharing table]
== Grading System ==

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.

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.3 * Home assignments + 0.3 * Midterm test + 0.4 * Final Exam

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations 2024/25

2025-02-06T21:25:13Z

Tschzhou 3: /* Classroom Links */

== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 231 !! 232 !! 233 !! 234
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/190260375/ Vasily Goncharenko] ([https://t.me/Vasgon72 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Maria Soboleva tg: [https://t.me/mashha_soboleval @mashha_soboleva]
|| Viktoria Fokina tg: [https://t.me/v_toriia @v_toriia]
|| Daria Bisina tg: [https://t.me/dashulkinnnn @dashulkinnnn]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== UoL Materials ==

== Classroom Links ==
231: [https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54 https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54]

232:

233:

234:

=== Home assignments 2025 ===
[https://drive.google.com/drive/folders/1E0ipYBLYPPdF-BP0Y9-NlqqZV-rF6-yc?usp=sharing Homework assignment 1, due on 28 February]

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1ZNZ1YKjiWO53R9EwPAv_IRBoUE24jCcV2FFqxwNHs3A/edit?usp=sharing table]
== Grading System ==

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.

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.3 * Home assignments + 0.3 * Midterm test + 0.4 * Final Exam

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations 2024/25

2025-02-06T19:55:47Z

Tschzhou 3: /* Home assignments 2025 */

== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 231 !! 232 !! 233 !! 234
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/190260375/ Vasily Goncharenko] ([https://t.me/Vasgon72 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Maria Soboleva tg: [https://t.me/mashha_soboleval @mashha_soboleva]
|| Viktoria Fokina tg: [https://t.me/v_toriia @v_toriia]
|| Daria Bisina tg: [https://t.me/dashulkinnnn @dashulkinnnn]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== UoL Materials ==

== Classroom Links ==
231:

232:

233:

234:

=== Home assignments 2025 ===
[https://drive.google.com/drive/folders/1E0ipYBLYPPdF-BP0Y9-NlqqZV-rF6-yc?usp=sharing Homework assignment 1, due on 28 February]

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1ZNZ1YKjiWO53R9EwPAv_IRBoUE24jCcV2FFqxwNHs3A/edit?usp=sharing table]
== Grading System ==

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.

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.3 * Home assignments + 0.3 * Midterm test + 0.4 * Final Exam

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations 2024/25

2025-01-20T19:23:28Z

Tschzhou 3: obligatory reading

== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 231 !! 232 !! 233 !! 234
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/190260375/ Vasily Goncharenko] ([https://t.me/Vasgon72 tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Maria Soboleva tg: [https://t.me/mashha_soboleval @mashha_soboleva]
|| Viktoria Fokina tg: [https://t.me/v_toriia @v_toriia]
|| Daria Bisina tg: [https://t.me/dashulkinnnn @dashulkinnnn]
|-
|| Lecturer's Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Seminars ==

== Midterm test ==

== Final exam ==

== UoL Materials ==

== Classroom Links ==
231:

232:

233:

234:

=== Home assignments 2025 ===

== Overall Results ==
Results can be found in the [https://docs.google.com/spreadsheets/d/1ZNZ1YKjiWO53R9EwPAv_IRBoUE24jCcV2FFqxwNHs3A/edit?usp=sharing table]
== Grading System ==

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.

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.3 * Home assignments + 0.3 * Midterm test + 0.4 * Final Exam

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
- [https://www-thphys.physics.ox.ac.uk/people/AlexanderSchekochihin/ODE/2018/ODELectureNotes.pdf ODE Lecture Notes] 
- [http://www.kryakin.site/am2/Pontryagin%201962-ode.pdf Pontryagin, L. S. 1962 Ordinary Differential Equations. London: Pergamon] 
- Tikhonov, A. N., Vasil’eva, A. B. & Sveshnikov, A. G. 1985 Differential Equations. Berlin:
Springer 
- Arnold, V. I. 2006 Ordinary Differential Equations. Berlin: Springer 
- Yeomans,J. M. 2014 Complex Numbers and Differential Equations. Lecture Notes
for the Oxford Physics course 
- Tenenbaum, M. & Pollard, H. 1986 Ordinary Differential Equations: An Elementary
Textbook for Students of Mathematics, Engineering, and the Sciences 
- Bender, C. M. & Orszag, S. A. 1999 Advanced Mathematical Methods for Scientists and
Engineers I: Asymptotic Methods and Perturbation Theory. New York: Springer 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations 2024/25

2025-01-20T12:50:54Z

Tschzhou 3: /* Teachers and Assistants */

Differential Equations 2024/25

2025-01-17T19:38:02Z

Tschzhou 3:

Differential Equations 2024/25

2025-01-17T18:51:18Z

Tschzhou 3: Grading System

Differential Equations 2024/25

2025-01-17T09:17:26Z

Tschzhou 3:

Differential Equations 2024/25

2025-01-17T09:09:08Z

Tschzhou 3:

== [https://www.hse.ru/en/ba/data/courses/904319389.html Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 231 !! 232 !! 233 !! 234
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/190260375/ Vasily Goncharenko] ([tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Maria Soboleva tg: [https://t.me/mashha_soboleval @mashha_soboleva]
|| 
|| 
|-
|| Lecturer Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Lectures ==

== Seminars ==

== Midterm test ==

== Final exam ==

== UoL Materials ==

== Classroom Links ==
231:

232:

233:

234:

=== Home assignments 2025 ===

== Overall Results ==

== Grading System ==

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].

Differential Equations 2024/25

2025-01-17T09:07:18Z

Tschzhou 3:

Differential Equations 2024/25

2025-01-17T09:06:30Z

Tschzhou 3:

== [https://www.hse.ru/en/ba/data/courses/301393255.html Syllabus] ==

“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.

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.

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.

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.

As a general policy, personal computing devices such as laptops, calculators etc. are ''' not supposed to be used in the course'''. They are ''' absolutely prohibited in all exams'''. Students are expected to do all necessary arithmetic computations by hand.

== Teachers and Assistants ==
{| class="wikitable" style="text-align:center"
|-
! Group !! 231 !! 232 !! 233 !! 234
|-
|| Lecturer ||colspan="4"| [https://www.hse.ru/org/persons/757685153 Alexander Tarakanov]
|-
|| Teacher || [https://www.hse.ru/org/persons/190260375/ Vasily Goncharenko] ([tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/225584739 Korney Tomashchuk] ([https://t.me/KkO_oRrNnEeYy tg]) || [https://www.hse.ru/org/persons/305059337 Daria Bashminova] ([https://t.me/dariabashminova tg])
|-
|| Assistants || Snezhana Klevtsova tg: [https://t.me/svklevtsova417l @svklevtsova417]
|| Maria Soboleva tg: [https://t.me/mashha_soboleval @mashha_soboleva]
|| 
|| 
|-
|| Lecturer Assistant
| colspan="7" | Zhou Jinyu tg: [https://t.me/jinyu_jinl @jinyu_jin]
|}

== Lectures ==

== Seminars ==

== Midterm test ==

== Final exam ==

== UoL Materials ==

== Classroom Links ==
231:

232:

233:

234:

=== Home assignments 2025 ===

== Overall Results ==

== Grading System ==

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.

''' The final grade on the course''' will be determined according to the formula:

'''Grade''' = 0.4 * Final Exam + 0.3 * Midterm test + 0.3 * Home assignments

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 released). 
3. The scale of corresponding grades 
3.1. Total grades for a given course are converted from the 100-point scale to the 5-point 
and 10-point scale. 
3.2. The following basic scale has been established to convert grades from the 100-point scale to the 10-point scale 

== Reading ==
'''Obligatory:''' 
- Mathematics for economists, Simon C. P., Blume L., 1994 
'''Optional:''' 
- A.F. Fillipov. Collection of problems on differential equations. Moscow, “Nauka”, 1973 and later editions. 
- V.K. Romanko, Course on Differential Equations and Calculus of Variations. Moscow and Saint-Petersburg, “Fizmatlit”, 2001 and later editions. 
== Internet Resources ==
[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].