Theory of Ordinary Differential Equations - MAT 641

The course covers existence and uniqueness theorems, linear systems with constant coefficients, matrix analysis and matrix exponential, sility, periodic coefficients, Two-Dimensional Autonomous linear and nonlinear systems, phase plane analysis, Liapunov stability, limit cycles and the Poincare’-Bendixson Theorem, and stability of linear non-autonomous systems.
Prerequisite: Graduate Standing.