General information

Lecturer

Exercise assistant

Books and reading material

Main book: D.W. Jordan & P. Smith: Nonlinear Ordinary Differential Equations: An Introduction to for Scientists and Engineers.
Fourth edition, Oxford University Press 2007.
Note H. Hanche-Olsen: Assorted notes on dynamical systems
Note H. Hanche-Olsen: Fractals and chaos (in Norwegian)
Other T. Helvik: Drawing phase diagrams with Maple (in Norwegian)
Other Drawing phase diagrams with Matlab
www Fractals, Chaos, and Verhulst system in Wikipedia
Maple verhulst.mw (save this file before opening it in Maple)

Further reading

  • Perko: Differential equations and dunamical systems. Springer 2001.
  • Hirsch ans Smale: Differential equations, dynamical systems, and linear algebra. Academic Press 1974.
  • Hirsch, Smale, Devaney: Differential equations, dynamical systems and introduction to chaos

Curriculum

  • Jordan & Smith: Ch. 1 (1.6 excluded), 2, 3 (3.3 and 3.5 excluded), 8, 10, 11, 12.1 - 12.4, 13.1 and Appendix A.
  • Both of Hanche-Olsens notes (see above).
  • The exercises.

(The notes overlap quite a bit with the book. When there is overlap, you may choose which text to read.)

Exam

  • Time: 28.05.2011, 09:00-13:00.
  • Aids: Code D (simple calculator)
2011-04-18, Espen Robstad Jakobsen