Math 634: Theory of Ordinary Differential Equations
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Contents
Catalog Information
Title
Theory of Ordinary Differential Equations.
Credit Hours
3
Prerequisite
Description
This course is designed to provide students with a rigorous treatment of the theory of differential equations. The topics include the existence, uniqueness, and continuation of solutions to differential equations, linear differential equations, and stability of solutions for differential equations.
Desired Learning Outcomes
Prerequisites
Minimal learning outcomes
Additional topics
These are at the instructor's discretion as time allows examples are: Stability of nonautonomous equations, Fredholm alternative, normal forms, Hamiltonian dynamics, control theory, stable manifold theorem, and center manifold theorem.
Courses for which this course is prerequisite
Math 635