MAT 5653

Topics List

Date	Sections	Topics	Prerequisite Skills	Student Learning Outcomes
Week 1		Basic Concepts of Ordinary Differential Equations
Week 2		Equilibrium Points, Phase Plane
Week 3		ODE Models in Science and Engineering
Week 4		Picard-Lindeloef Theorem and Applications		Picard Iteration, Contraction
Week 5		Peano Theorem
Week 6		Dependence of Solutions on Initial Values, Maximal Interval of Existence
Week 7		Conservative Systems
Week 8		Linear Systems and Exponentials
Week 9		Stable Manifold Theorem
Week 10		Hartman-Grobman Theorem
Week 11		Stability and Lyapunov functions
Week 12		Introduction to Bifurcation Theory/Hopf Bifurcation
Week 13		Epidemic and Population Models
Week 14		Review, advanced topics