FISI 4032: Methods of Mathematical Physics II
Fourier Analysis. Periodic functions. Trigonometric Series. Fourier series. Fourier integrals. Fourier transform. Sine and cosine transforms. Partial Differential Equations: D'Alembert's solution of the wave equation. Solutions of the heat equation by Fourier series and Fourier integrals. Two-dimensional wave equation. Complex Analysis: Complex plane, analytic functions. Complex integration: line integrals, Cauchy's integral theorem, Cauchy's integral formula, Power series, Taylor and Laurent series, singularities and zeros, residues and the Residue theorem. Evaluation of real integrals.
3 credit hours.
Requires FISI 4031 or MATE 3153.