Ordinary Differential Equations
MATH 119A

Meetings: MWF 1:10-2:00PM, Room 7 WELL

Instructor: Tim Lewis
                  office: 576 KERR
                  email: tlewis@math.ucdavis.edu
                  phone: (530)754 9369

Course webpage: http://www.math.ucdavis.edu/~tlewis/teaching/mat119A.htm

Text: Nonlinear Dynamics and Chaos by Steven H. Strogatz (Westview Press)

Description:
We will cover most of Chapter 2-8 in the text.
Scalar and Planar Autonomous Systems--nonlinear systems and linearization. Phase plane analysis. Classification of singular points. Scalar and Planar maps. Bifurcations and the implicit function theorem. Notions of stability and Liapunov's method. Periodic orbits and their bifurcations. Poincare Bendixon theory.

Prerequisites: Linear Algebra 22A & Differential Equations 22B, or equivalent courses.

Grading:

Homework will be assigned weekly and is due in class one week after it has been assigned. The two lowest homework scores will be dropped. You are encouraged to discuss your homework assignments with other students in the class, however please make sure the final write-up is done on your own.

There will be a midterm (February 11 in class) and a final exam (March 18, 10:30-12:30AM). There will be no make-up exams.

Final Grade: Midterm 30%, Homework 20%, Final 50%.