Courses | MATH442

MATH442: Advanced Ordinary Differential Equations

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Mathematics
EOS311

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CHEM102

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BIOL311 / EOS311

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MATH442 course__MATH341 MATH341 choice_MATH442_0_0_1 1 of course__MATH341->choice_MATH442_0_0_1 course__MATH342 MATH342 course__MATH342->choice_MATH442_0_0_1 course__MATH442 MATH442 Advanced Ordinary Differential Equations choice_MATH442_0_0_1->course__MATH442

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  • permission of the department

Mathematics

Subject area

400-level

Course level

2

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5

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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.