Dec 05, 2025  
2010-2011 Graduate Catalog 
    
2010-2011 Graduate Catalog [ARCHIVED CATALOG]

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MATH 540 - Advanced Ordinary Differential Equations


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.

Credits: (3)

Requisites
Pr.: MATH 240.



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