Calculus 2 DSBA 2025/2026

Teachers and Assistants

Group	241 (M+P+)	242	243	244	245	246
Lecturer	Andrey Mazhuga
Teacher	Andrey Mazhuga	Vladislav Balakirev (tg)	Жижин Андрей (tg)	Ian Marshall	Ian Marshall	Andrey Mazhuga
Consultations	Sat, 17:00 -- 21:00, via Zoom One must notify me beforehand	Fri, 13:00 -- 14:20, N504
Assistant	Зинкин Захар (tg)	Зинкин Захар (tg)	Суворова Александра (tg)	Бизина Дарья (tg)	Биктибаев Аскар (tg)	Мамакина Екатерина (tg)

Course Description

This page contains basic information for the course Calculus-2 in 2025/2026 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 (12.09.2025) 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 (05.09.2025) 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 (01.09.2025) 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 (12.09.25) Sem_1	HW_1 (08.09.25) Sem_1 Solutions_1	HW_1 (09.09.25) Sem_1	[ HW_1] (??.??.25) [ Sem_1]	[ HW_1] (??.??.25) [ Sem_1]	HW_1 (12.09.25) Sem_1
HW_2 (19.09.25) Sem_2	HW_2 (15.09.25) Sem_2 Solutions_2	HW_2 (16.09.25) Sem_2	[ HW_2] (??.??.25) [ Sem_2]	[ HW_2] (??.??.25) [ Sem_2]	HW_2 (19.09.25) Sem_2
[ HW_3] (26.09.25) [ Sem_3]	HW_3 Sem_3 Solutions_3	[ HW_3] (??.09.25) [ Sem_3]	[ HW_3] (??.??.25) [ Sem_3]	[ HW_3] (??.??.25) [ Sem_3]	[ HW_3] (26.09.25) [ Sem_3]

Results

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