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

Past Term Data

Offered
Not Offered
Offered as Cross-Listing Only
No Term Data
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