Ordinary Differential Equations I

Course Information and Syllabus, Fall 1999

Text:  Lecture Notes  

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
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 be MAPLE-aid or MATHEMATICA-aid exam.

Instructor: Dr. M. Kulenovic,
Online information: or

Office hours: T, Th: 9:30-11, and by appointment. 

Time: T,Th: 2-3:15
Room: Tyler 106