Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 703: Methods of Applied Mathematics 1

Saverio Spagnolie, Fall 2020:

This is a first-year course for all incoming PhD and Master students interested in pursuing research in applied mathematics. The course introduces advanced mathematical methods with a particular focus on asymptotic analysis of algebraic, differential, and integral equations, including the methods of stationary phase, steepest descent, multiple scales, matched asymptotics, and WKB approximations. Other topics include divergent series, Fourier transform, complex integration, dimensional analysis, phase-plane analysis, Floquet theory, Green's functions, self-adjoint operators, Sturm-Liouville problems, and calculus of variations.

Math 319 (ODEs), Math 321 (Vector and complex analysis), Math 322 (Sturm-Liouville, Fourier Series, intro to PDEs), Math 340 (Linear Algebra) or equivalent

UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, WI  53706

(608) 263-3054

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