Ordinary differential equations — различия между версиями

Материалы по математике, 2013-14 учебный год, НИУ ВШЭ и РЭШ
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(References)
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== References ==
 
== References ==
Main textbook is [http://books.google.ru/books?id=JtZFAQAAIAAJ&dq=editions:tlezMQI65w0C&redir_esc=y ''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).
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* Main textbook is [http://books.google.ru/books?id=JtZFAQAAIAAJ&dq=editions:tlezMQI65w0C&redir_esc=y ''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 [http://math-hse.info/2012-13/ODE?uselang=en the same course] of 2013/14 academic year (by Dmitry Filimonov, Ilya Schurov and Alexandra Pushkar).
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* [http://www.mccme.ru/mathinmoscow/courses/view.php?name=Ordinary%20Differential%20Equations.htm Curriculum] (it seems that only the first 14 items will be covered in the course due to lack of time).
  
 
== Lectures ==
 
== Lectures ==

Версия 10:54, 11 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