The University of New Mexico

Introduction to Ordinary Differential Equations

MATH 462 / 512 (3)

Linear systems. Existence and uniqueness theorems, flows, linearized stability for critical points, stable manifold theorem. Gradient and Hamiltonian systems. Limit sets, attractors, periodic orbits, Floquet theory and the Poincare Map. Introduction to perturbation theory.

Prerequisite: (**314 or **321) and **316 and 401.

{Fall}


Prerequisites / Corequisites

Linear Algebra with Applications - MATH **314


Linear Algebra - MATH **321


Applied Ordinary Differential Equations - MATH **316


Advanced Calculus I - MATH 401 / 501


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