MATH 557
Applied Asymptotic Analysis
This course includes the following topics: asymptotic sequences and (divergent) series; asymptotic expansions of integrals and Laplace's method; methods of steepest descents and stationary phase; asymptotic evaluation of inverse Fourier and Laplace transforms; asymptotic solutions for linear (non-constant coefficient) differential equations; WKB expansions; singular perturbation theory; and boundary, initial, and internal layers.
Topics
- asymptotic sequences and (divergent) series
- asymptotic expansions of integrals and Laplace's method
- methods of steepest descents and stationary phase
- asymptotic evaluation of inverse Fourier and Laplace transforms
- asymptotic solutions for linear (non-constant coefficient) differential equations
- WKB expansions
- singular perturbation theory
- and boundary
- initial
- and internal layers
Topics explicitly listed in official catalogue description
Prerequisites & course information
Linear Algebra (MATH 217, MATH 419, or MATH 420); Differential Equations (MATH 216, MATH 286, or MATH 316); Analysis (MATH 297, MATH 451, or MATH 295 & 296); and MATH 555. (3). (BS). May not be repeated for credit.
Sources
- Course catalogue ↗2026-2027
- Catalogue entry ↗
Catalogue variants
- Applied Asymptotic Analysis · 3 · Graduate credit