MATH 435: Ordinary Differential Equations
Description
A second course in ordinary differential equations. Existence,
uniqueness, and continuation of solutions of ODE. Linear systems,
fundamental matrix, qualitative methods (phase plane). Dependence on
initial data and parameters (Gronwall's inequality, nonlinear variation
of parameters). Stability for linear and nonlinear equations,
linearization, Poincare-Bendixson theory. Additional topics may include
regular and singular perturbation methods, autonomous oscillations,
entrainment of forced oscillators, and bifurcations.
Textbook
Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith.
Grading
There will be two midterms and a final. The grade will be based on Homework (45%), Midterm 1 (15%), Midterm 2 (15%) and the final exam (25%).
These percentages notwithstanding, attendance is required and participation is expected.
Schedule of Homework Exercises
A detailed course schedule will (eventually) be available
here.
| Number |
Date Assigned |
Assignment |
Date Due |
| 1 |
1/15 |
|
1/22 |
| 2 |
1/29 |
|
2/5 |
| 3 |
2/12 |
|
2/19 |
| 4 |
2/26 |
|
3/5 |
| 5 |
3/19 |
|
3/26 |
| 6 |
4/2 |
|
4/9 |
| 7 |
4/16 |
|
4/23 |
Contact Prof. Thomas.
Updated: November 3, 2009