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	== Final exam ==		== 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 ==		== Materials ==

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

	3) June 11 (Thursday) 10:00 - 14:00 '''and''' 15:00 - 19:00		3) June 11 (Thursday) 11:00 - 13:15 '''and''' 17:30 - 19:00

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

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	=== Home assignment 2026 ===		=== Home assignment 2026 ===
	The homework can be found by [https://drive.google.com/file/d/1Fs3DkYdSDxQb93Fsuk6ngAsesQ9F8J85/view?usp=sharing link]. '''Deadline is June 15'''.		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 ====		==== Consultation ====
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	2) June 10 (Wednesday) 14:00 - 18:00		2) June 10 (Wednesday) 14:00 - 18:00

	3) June 12 (~~Friday~~) 10:00 - 14:00 '''and''' 15:00 - 19:00		3) June 11 (Thursday) 10:00 - 14:00 '''and''' 15:00 - 19:00

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

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	3) June 12 (Friday) 10:00 - 14:00 '''and''' 15:00 - 19:00		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 ===		=== Quizzes 2026 ===

imported>Tschzhou 3: /* Home assignment 2026 */

2026-06-03T14:04:58Z

Home assignment 2026

Новая страница

== [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 - История изменений

WikiAdmin: Auto-sync from wiki.cs.hse.ru rev 96840 at 2026-06-12T10:31:23Z

WikiAdmin: Auto-sync from wiki.cs.hse.ru rev 96811 at 2026-06-09T16:26:49Z

WikiAdmin: Auto-sync from wiki.cs.hse.ru rev 96805 at 2026-06-09T13:59:10Z

WikiAdmin: Auto-sync from wiki.cs.hse.ru rev 96804 at 2026-06-09T09:08:23Z

imported>Tschzhou 3: /* Home assignment 2026 */