Analytical Techniques in Differential Equations
APC 503/AST 557
1252
1252
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Asymptotic methods, Dominant balance, ODEs: initial and Boundary value problems, Wronskian, Green's functions, Complex Variables: Cauchy's theorem, Taylor and Laurent expansions, Approximate Solution of Differential Equations, singularity type, Series expansions. Asymptotic Expansions. Stationary Phase, Saddle Points, Stokes phenomena. WKB Theory: Stokes constants, Airy function, Derivation of Heading's rules, bound states, barrier transmission. Asymptotic evaluation of integrals, Laplace's method, Stirling approximation, Integral representations, Gamma function, Riemann zeta function. Boundary Layer problems, Multiple Scale Analysis
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Section L01
- Type: Lecture
- Section: L01
- Status: O
- Enrollment: 15
- Capacity: 25
- Class Number: 20590
- Schedule: MW 01:00 PM-02:20 PM - Fine Hall 322