# Ordinary Differential Equation

## MATH-6400

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.

4 credits
Prereqs:
MATH-4300 Intro To Complex Variables
and
MATH-4400 Ordinary Diffeq And Dynamical

# Past Term Data
Offered
Not Offered
Offered as Cross-Listing Only
No Term Data
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| Spring | Summer | Fall
--- | --- | --- | ---
| (Session 1) | (Session 2) |
2024 |  |  |
2023 |  |  |
2022 |  |  |
2021 | Ordinary Differential Equation (4c) Gregor Kovacic Seats Taken: 7/30 |  |
2020 |  |  |
2019 | Ordinary Differential Equation (4c) David Isaacson Seats Taken: 6/25 |  |
2018 |  |  |
2017 |  |  |
2016 | Ordinary Differential Equation (4c) Gregor Kovacic Seats Taken: 13/30 |  |
2015 |  |  |
2014 | Ordinary Differential Equation (4c) Gregor Kovacic Seats Taken: 10/30 |  |
2013 |  |  |
2012 | Ordinary Differential Equation (4c) Gregor Kovacic Seats Taken: 11/30 |  |
2011 |  |  |
2010 | Ordinary Differential Equation (4c) Michael R. Foster Seats Taken: 9/30 |  |
2009 |  |  |
2008 |  |  |
2007 |  |  |
2006 | Ordinary Differential Equation (4c) Gregor Kovacic Seats Taken: 5/30 |  |
2005 |  |  |
2004 | Ordinary Differential Equation (4c) R.E. Lee DeVille Seats Taken: 14/30 |  |
2003 |  |  |
2002 | Dynamical Systems (4c) R.E. Lee DeVille Seats Taken: 3/30 |  |
2001 |  |  |
2000 |  |  |
1999 |  |  |
1998 |  |  |