Differential Equations 2024/25

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

Group	231	232	233	234
Lecturer	Alexander Tarakanov
Teacher	Vasily Goncharenko (tg)	Korney Tomashchuk (tg)	Korney Tomashchuk (tg)	Daria Bashminova (tg)
Assistants	Snezhana Klevtsova tg: @svklevtsova417	Maria Soboleva tg: @mashha_soboleva	Viktoria Fokina tg: @v_toriia	Daria Bisina tg: @dashulkinnnn
Lecturer's Assistant	Zhou Jinyu tg: @jinyu_jin

Classroom Links

231: https://classroom.google.com/c/NzQ5MjA3MjA2ODc0?cjc=ljr5v54

232:

233:

234:

Home assignments 2025

Homework assignment 1, due on 28 February

Homework assignment 2, due on 24 March

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
- 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.

Internet Resources

University of London Exam papers and Examiners reports for the last three years.