Jul 19, 2024  
2021-2022 Graduate Catalog 
2021-2022 Graduate Catalog [ARCHIVED CATALOG]

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MATH 540 - Advanced Ordinary Differential Equations

Credits: 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.

Prerequisite: MATH 340.

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