3 credits
Spring 2025 Lecture Upper DivisionData from last updated 3/29/2025
Spring 2025
Spring 2025 Instructors:
This course focuses on the theory of ordinary differential equations and methods of proof for developing this theory. Topics include basic results for linear systems, the local theory for nonlinear systems (existence and uniqueness, dependence on parameters, flows and linearization, stable manifold theorem) and the global theory for nonlinear systems (global existence, limit sets and periodic orbits, Poincare maps). Permission of instructor required.
Learning Outcomes1Know and understand the central results and methods of proof in the theory of ordinary Differential Equations.
2Gain deeper understanding of mathematical analysis more generally.
3Gain facility in constructing, writing and presenting proofs.
Restrictions
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