Linear systems. Existence and uniqueness theorems, flows, linearized stability for critical points, stable manifold theorem. Gradient and Hamiltonian systems. Limit sets, attractors, periodic orbits, Floquet theory and the Poincare Map. Introduction to perturbation theory.
Prerequisite: 314, or 321, 316, 401.
Linear Algebra with Applications - MATH **314
Linear Algebra - MATH **321
Applied Ordinary Differential Equations - MATH **316
Advanced Calculus I - MATH 401 / 501