**Instructor:**
Jon Wilkening

**Lectures:** TuTh 12:30-2:00pm, Room 5 Evans

**Course Control Number:** 55027

**Office:** 1091 Evans

**Office Hours:** Monday 11AM-1PM

**Prerequisites:** Undergraduate Analysis and Linear Algebra

**Required Text:**

Coddington and Levinson, Theory of Ordinary Differential Equations

**Recommended Reading:**

Hurewicz, Lectures on Ordinary Differential Equations

Courant and Hilbert, Methods of Mathematical Physics, vol 1

**Syllabus:** In the first part of the course, we will study
fundamental questions of existence, uniqueness and dependence of
solutions of ODE's on initial conditions and parameters. We will then study
linear systems (e.g. with constant or periodic coefficients), boundary
value problems, adjoint equations, expansion and completeness theorems,
Sturm-Liouville theory, perturbation theory, and the Poincare-Bendixson
Theorem. We fill finish the course with ODE methods in PDE and the
Cauchy-Kowalewski theorem.

**Course Webpage:** http://math.berkeley.edu/~wilken/204A.F06

**Grading:** 75% Homework, 25% Final Exam

**Homework:** 10 assignments

**Comments:** Homework problems will be graded right/wrong, but
you may re-submit the problems you get wrong within two weeks of
getting them back to convert them to "right". (If you turn in a
homework late, you forfeit this possibility).

- Homework 1. posted 8/30/06, due 9/7/06.
- Homework 2. posted 9/12/06, due 9/21/06.
- Homework 3. posted 9/21/06, due 10/3/06.
- Homework 4. posted 10/4/06, due 10/12/06.
- Homework 5. posted 10/17/06, due 10/26/06.
- Homework 6. posted 10/31/06, due 11/9/06.
- Homework 7. posted 11/9/06, due 11/16/06.
- Homework 8. posted 11/28/06, due 12/7/06.