MATH5525: Introduction to Ordinary Differential Equations
4 Credits
Ordinary differential equations, solution of linear systems, qualitative/numerical methods for nonlinear systems. Linear algebra background, fundamental matrix solutions, variation of parameters, existence/uniqueness theorems, phase space. Rest points, their stability.
Periodic orbits, Poincare-Bendixson theory, strange attractors.
prereq: [2243 or 2373 or 2573], [2283 or 2574 or 3283]