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Dec 10, 2024
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MATH 540 - Advanced Ordinary Differential EquationsCredits: 3
First-order scalar equations: geometry of integral curves, symmetries and exactly soluble equations; existence, uniqueness and dependence on parameters with examples. Systems of first-order equations, Hamilton’s equations and classical mechanics, completely integrable systems. Higher-order equations. Initial value problems for second order linear equations, series solutions and special functions. Boundary value problems with applications. Introduction to perturbation theory and stability.
Requisites: Prerequisite: MATH 340.
Typically Offered Spring
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