MTH 546
Ordinary Differential Equations II

Course Information and Syllabus, Spring 2000

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