Math 4200/5200
Differential Equations - Qualitative Theory

Instructor Information

Course Information

Times and Places

Course Content

1. D. K. Arrowsmith and C. M. Place [1990], An Introduction to Dynamical Systems , Cambridge Press
2. J. Hale and H. Kocak [1991], Dynamics and Bifurcations , Springer-Verlag
3. S. Wiggins [1990], Introduction to Applied Nonlinear Dynamical Systems and Chaos ,Springer-Verlag

This course will focus on finding the behaviour of dynamical systems which cannot be solved exactly. The course will begin with an introduction to dynamical systems (discrete and continuous). We will consider local bifurcations and finally global dynamics such as the saddle-loop bifurcation and the Smale horseshoe map. Other topics, to be chosen by class interest, may be considered.

Grading

The final grades will consist of homework assignments, and the final project. Homework will be assigned on a roughly bi-weekly basis to and collected in class.

The final project will involve both an oral presentation and a written report. Topics for the final project should in some way compliment or extend the concepts covered in class. For details see the course outline.

Grading will be as follows:*

Homework	60 %
Final Assignment	40 %

For students enrolled in 4200, each homework will contain optional bonus questions. For students enrolled in 5200 all of the assignment questions will be graded normally.
* the grading policy may change at some point during the year. Any changes will be announce in class as well as posted on this web page.

On line Course Material

Homework

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