MATH 442

Advanced Ordinary Differential Equations

Units: 1.5

Hours: 3-0

Formerly: 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.


  • Credit will be granted for only one of MATH 442, MATH 445A.


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

Fall 2017 Spring 2018 Summer 2018

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