Mathematics
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Courses | MATH442
MATH442: Advanced Ordinary Differential Equations
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400-level
Course level
2
Programs that name this course
5
Published prerequisite links
Official Source
Calendar entry
Description
Catalog description
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.
Supplemental Notes
Catalog notes
- Credit will be granted for only one of MATH 442, MATH 445A.
Course Graph
Prerequisite flow into the course, and dependencies flow out from it.
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Additional course requirements
- permission of the department
Program Use