**Text**:
Lecture Notes

**Prerequisites**:
Graduate standing, exposure to basic ordinary differential equations and
linear algebra, MTH 545

**Exams and Grading**:

Course grade will be determined based on homework and
mid-term and final exams.

The exams will be of the take home variety.

The topics that will be covered are:

elements of stability theory

Lyapunov's second method and first integrals

Poincare-Bendixon theory

oscillation and comparison theorems

group transformation methods for solving ordinary differential
equations.

**Computer Requirements**

The use of computer algebra systems such as MATHEMATICA,
MAPLE, and Scientific Notebook is encouraged. Some computer lectures in
some of these systems will be presented, and provided. Some MATHEMATICA
and/or MAPLE notebooks will be provided and demonstrated in the class.
Most of the exams may be MAPLE-aid or MATHEMATICA-aid exam.

**Instructor**: Dr. M. Kulenovic,

e-mail: kulenm@math.uri.edu
**Online information**: www.math.uri.edu/courses
or www.math.uri.edu/~kulenm

**Office hours**: T, Th: 11-12, W 1-2 and by appointment.

**Time**: T,Th: 2-3:15