MATH 442

Advanced Ordinary Differential Equations

Units: 1.5, Hours: 3-0

Rigorous existence and uniqueness theory; qualitative theory of systems of ordinary differential equations including Poincaré and Liapunov stability; periodic orbits; Poincaré-Bendixson theory; bifurcations; stable, unstable and centre manifold theorems. Additional topics may include: averaging and perturbation methods, chaos, Melnikov method, Hamiltonian systems.

Note: Credit will be granted for only one of 442, 445A.

Formerly: 445A

Prerequisites: 300 or 334; and 325 or 342; or permission of the department.

Undergraduate course in Mathematics offered by the Department of Mathematics and Statistics in the Faculty of Science.