Ordinary differential equations — различия между версиями

Материалы по математике, 2013-14 учебный год, НИУ ВШЭ и РЭШ
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Dear '''Math in Moscow''' students!
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{{Навигация|2012-13=-|2013-14=-}} Dear '''Math in Moscow''' students!
  
 
This page will contain information related to course '''Ordinary differential equations'''.
 
This page will contain information related to course '''Ordinary differential equations'''.

Версия 13:03, 13 февраля 2014

Dear Math in Moscow students!

This page will contain information related to course Ordinary differential equations.

Instructor: Ilya Schurov (ilyaСоб@каschurov.com).

References

  • Main textbook is Ordinary differential equations by V. I. Arnold.
  • Problems were taken mostly from Problems in differential equations by A. F. Filippov.
  • The program and assignments are based on the course Ordinary differential equations (Math in Moscow, 2010-11) by Yury Kudryashov and Ilya Schurov and the same course of 2013/14 academic year (by Dmitry Filimonov, Ilya Schurov and Alexandra Pushkar).
  • Curriculum (it seems that only the first 14 items will be covered in the course due to lack of time).

Lectures

02/10: Introduction to ODE

  • Examples of mathematical models that lead to differential equations: Malthusian population grows, free fall, harmonic oscillator.
  • Examples of ODEs and their solutions:
  • Phase space, extendended phase space, direction field, integral curves.
  • Barrow's formula: the solution of an equation (autonomous equation in dimension 1).

Seminars

Assignments

assignment due date
Assignment 1 01/17/2014