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Apr 25, 2024
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MATH 6400 - Ordinary Differential Equations
Analytical and computational methods for ordinary differential equations: existence and uniqueness of solutions, similarity methods, linear equations, regular singular points, hypergeometric equations, asymptotic expansions near irregular singular points, WKB theory, turning points, stability theory, stable and unstable manifolds, periodic solutions and Poincare maps, Floquet theory, stabilization and destabilization by periodic forcing, calculus of variations, Lagrangian and Hamiltonian systems, Poincare invariants, symplectic integrators, basic bifurcation theory, examples of chaotic dynamics, applications to physics, chemistry, and biology.
Prerequisites/Corequisites: Prerequisite: MATH 4300 and MATH 4400 or equivalent or permission of instructor.
When Offered: Spring term odd-numbered years.
Credit Hours: 4
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