(Approximate) Syllabus
- Dimensional analysis, and scaling
- Perturbation theory
- Matched asymptotics and boundary layers
- WKB approximation
- Stationary-phase/steepest descent methods
- Elementary functional analysis
- Spectral theory for ordinary differential equations
- Green's functions, special functions, multipole expansions and radiation conditions
- Calculus of variations
- Elements of Fourier analysis and approximation theory
- Methods for the analysis of PDEs
- Geometric wave theory