Differential Equations DSBA 2025/2026
Содержание
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
| Group | 241 | 242 | 243 | 244 | 245 | 246 | |
|---|---|---|---|---|---|---|---|
| Lecturer | Alexander Tarakanov | ||||||
| Teacher | Alexander Tarakanov (tg) | Korney Tomashchuk (tg) | Zhizhin Andrey (tg) | Daria Bashminova (tg) | Korney Tomashchuk (tg) | Daria Bashminova (tg) | |
| Assistants | Snezhana Klevtsova tg: @svklevtsova417 |
Eric Golikov tg: @Gef0lt |
Evgeny Baulin tg: @evalbn |
Bogdan Uvarov tg: @lbananamanl |
Ekaterina Lashinina tg: @katushkkka |
Ekaterina Mamakina tg: @katemamakina | |
| Lecturer's Assistant | Zhou Jinyu tg: @jinyu_jin | ||||||
Colloquium
Final exam
Materials
Home assignment 2026
The homework can be found by link. Deadline is June 15.
Quizzes 2026
Quiz 1 26.01.2026 - 30.01.2026
Quiz 2 09.02.2026 - 15.02.2026
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 = 0.25 * 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
- ODE Lecture Notes
- 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.
