MATH 442
Advanced Ordinary Differential Equations
Units: 1.5
Hours: 3-0-0
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 MATH 442, MATH 445A.
Prerequisites:
Undergraduate course in Mathematics offered by the Department of Mathematics and Statistics in the Faculty of Science.