MATH 442

Advanced Ordinary Differential Equations

Units: 1.5

Hours: 3-0-0

Formerly: MATH 445A

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.

Schedules:
Summer 2018 Fall 2018 Spring 2019

Summer timetable available: February 15. Fall and Spring timetables available: May 15.

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