# MATH-6400: Ordinary Differential Equation

# 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
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Not Offered
Offered as Cross-Listing Only
No Term Data
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| Spring | Summer | Fall
--- | --- | --- | ---
| (Session 1) | (Session 2) |
2025 |  |  |
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 |  |  |