Overview
Description
Calculus of Variations, Complex Variables, Transform and Spectral Theory, Partial Differential Equations, Asymptotics, Perturbation Theory.
Units
Lecture3
Learning Outcomes
- demonstrate ability to solve problems using calculus of variations and complex variables methodology.
- demonstrate competence at the advanced level in application of spectral and integral transform methodologies, and perturbation theory to analysis and approximating of solutions of partial differential equations.
- apply these methodologies to solving practically important problems from various applied fields and interpret the solutions using analytical and numerical approaches.