週次 |
日期 |
單元主題 |
第1週 |
2/22 |
I. Introduction -- Interchange theorems |
第4週 |
3/16 |
II. Evaluation of Integrals:
Residual theorem and Contour integral |
第5週 |
3/23 |
II. Evaluation of integrals: contour integral, tabulated integrals |
第6週 |
3/30 |
II. Evaluation of integrals: asymptotic series, Method of steepest descent and method of stationary phase |
第02週 |
3/2 |
I. Introduction --- Infinte series |
第03週 |
3/9 |
II. Evaluation of Integrals: Elementary methods |
第07週 |
4/6 |
學校放假 |
第08週 |
4/13 |
Method of stationary phase
III. Integral Transformations: Fourier Transform and Laplace Transform |
第09週 |
4/20 |
III. Integral Transformations: Fourier Transform and Laplace Transform |
第10週 |
4/27 |
III. Integral Transformations: Fourier Transform, Laplace Transform and Hilbert transform |
第11週 |
5/4 |
midterm exam |
第12週 |
5/11 |
III. Integral Transformations: Hilbert transform
IV. Green's function: Linear operator |
第13週 |
5/18 |
IV. Green's function: Linear operator, eigenvectors and eigenvalues |
第14週 |
5/25 |
IV. Green's function: Sturm-Liouville equation |
第15週 |
6/1 |
IV. Green's function: Poisson equation, Heat equation |
第16週 |
6/8 |
IV. Green's function: heat equation and wave equation |
第17週 |
6/15 |
IV. Green's function: wave equation |
第18週 |
6/22 |
Final exam |