Calculus 2 DSBA 2026/2027

Teachers and Assistants

Group	251 (M+P+)	252	253	254	255	256
Lecturer	Андрей Мажуга
Teacher	Андрей Мажуга	Василий Гончаренко	Андрей Мажуга	Дмитрий Гайфулин	Корней Томащук	Андрей Жижин
Consultations	by agreement via Zoom One must notify me beforehand	by agreement	by agreement via Zoom One must notify me beforehand	by agreement	by agreement	by agreement
Assistant	Борис Бабаян	Пётр Греков	Дарья Сбоева	Данила Рязанов	Никита Чариков	Аиша Абтини
Course Assistant	Полина Гребенникова

Course Description

This page contains basic information for the course Calculus-2 in 2026/2027 academic year at Bachelor’s Programme 'HSE and University of London Double Degree Programme in Data Science and Business Analytics' (DSBA).

Grading system

During the course, the student will be formally graded on the following:

• one in-class oral test (O);
• one in-class written test (= midterm test) (W);
• several quizzes (Q, where Q is the average grade of all the quizzes in the course);
• several homework assignments (H, where H is the average grade of all the homework assignments in the course);
• one written exam (E).

All grades (namely, O, W, Q, H, and E) are real numbers from 0 to 10.

The cumulative grade, C, is obtained without rounding by the following formula:

C = 4/17*H + 4/17*Q + 4/17*W + 5/17*O.

The final grade for the course, F, is obtained by the following formula:

F = Round(7/10*C + 3/10*E).

where the function Round(x) is defined as follows: if the decimal part of x is less than 0.2, the grade is rounded downwards; if the decimal part of x is greater than 0.7, the grade is rounded upwards; if the decimal part of x is from the interval [0.2;0.7] and the student's seminar attendance during the first semester is not below 66%, the grade is rounded upwards; otherwise the grade is rounded downwards.

Lecture Notes

If you notice an error or do not understand something, please describe it in the Bugs Table.

Module 1

• Lecture 3 (21.09.2026) The Abel transformation; the Dirichlet test; the Abel test; the Leibniz test; sine and cosine sums; absolutely and conditionally convergent series; alternating p-series; the Cauchy rearrangement theorem; the Riemann rearrangement theorem.

• Lecture 2 (14.09.2026) Series with non-negative terms; the Cauchy Condensation test; the first comparison test; the second comparison test; p-series convergence; the integral test; the root test; the ration test; the Kummer test; the Bertrand test; the Gauss test.

• Lecture 1 (07.09.2026) Series; convergence and divergence; Cauchy's criterion and its negation; necessary condidion for convergence; the tale (= remainder) of a series; linear combination of series; grouping theorem.

Homework

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HW_1 (14.09.26) Sem_1	[ HW_1]	HW_1 (14.09.26) Sem_1	[ HW_1]	[ HW_1]	[ HW_1]
HW_2 (21.09.26) Sem_2	[ HW_2]	HW_2 (21.09.26) Sem_2	[ HW_2]	[ HW_2]	[ HW_2]

Results

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