TMA4165 Differential equations and dynamical systems 2009

Contents: Literature · Messages · Lectures · Evaluation · Schedule

Lecturer

Harald Hanche-Olsen

Exercises

There are no mandatory exercises. That does not mean it's a good idea to skip the exercises, however.
The exercise web page is password protected using a password that is available on the course's page in It's learning.

Old exams with solutions

The page is protected by the same password as the exercises.

Messages

2009-06-04: Today's exam with suggested solutions (in Norwegian) is available at the exam collection page. Let me know if you find any errors in the solution.

(older messages)

Lectures

Week 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13–15, 16, 17, 18, 19.

This is the final reading list:

D. W. Jordan & P. Smith: Non-linear ordinary differential equations: An introduction to dynamical systems, Fourth Edition, Oxford University Press 2007, ISBN-13 978-0-19-920824-1.
Ch. 1, 2, 3, 8, 10, 11, 12.1–4, 13.1 and Appendix A.
Except 1.6, 3.3, 3.5, uniform stability i 8.3–8.4, all details concerning topographical systems in Ch. 10 (i.e., most of 10.2–10.4), and 10.11. I don't understand Theorem 10.10 (p. 351 (362 in the third edition)), so skip that.
You will note that my notes overlap quite a bit with the book, in which case you may choose which text to read. (But note that the statement of the Poincaré–Bendixson theorem in the book is wrong.)

My own Assorted notes on dynamical systems (updated 2009-04-21).

Another note, Fraktaler og kaos.

Evaluation

Written exam, 4. June, 4 hours 09–13. Permitted aids: Code D (only a simple calculator, which I doubt you will find a use for).

Harald Hanche-Olsen Last update: 2009–06–04 11:00