Ordinary Differential Equations I
Text:
L. Perko, Differential Equations and Dynamical Systems 
Prerequisites: Graduate standing , exposure to basic ordinary differential equations and linear algebra
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:
existence and uniqueness theorems
continuous dependence on parameters and initial conditions
oscillation and comparison theorems
elements of stability theory
invariant manifolds
Lyapunov's second method and first integrals
introduction to delay and difference equations
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 require the substantial use of MAPLE or MATHEMATICA.
Instructor: M. Kulenovic
e-mail: kulenm@math.uri.edu
Online information: www.math.uri.edu/courses
or www.math.uri.edu/~kulenm
Office hours: M, W: 9-10 Th: 1-2, and by appointment. 
Time: T,Th: 3:30 -4:45
Room: