2011-2012 University Catalog 
  
2011-2012 University Catalog

MATH 677 - Ordinary Differential Equations

Credits: 3 (NR)
Qualitative and quantitative theory of ordinary differential equations. Phase portrait analysis of linear and nonlinear systems, including classification of stable and unstable equilibrium states and periodic orbits. Poincare-Bendixson theorem, Lyapunov stability and Lyapunov functions, and bifurcation theory. Optional topics include averaging and perturbation methods, numerical solution techniques, and chaos.

Prerequisite(s): MATH 214 or equivalent.

Hours of Lecture or Seminar per week: 3
Hours of Lab or Studio per week: 0