Fall 2022

Ordinary Differential Equations • 5 Students

Math 512 Introduction to Ordinary Differential Equations

Schedule: Section 01: TTh 12:30 - 1:45

This semester I am teaching Math 512: Introduction to Ordinary Differential Equations. This is a first year graduate course designed for students in applied mathematics. It is also one half of the prepatory sequence for the differential equations qualifying exam. Material covered will include: Linear systems. Existence and uniqueness theorems, flows, linearized stability for critical points, stable manifold theorem. Gradient and Hamiltonian systems. Limit sets, attractors, periodic orbits, Floquet theory and the Poincare Map. Introduction to bifurcations.

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Owen Lewis

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