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