週次 |
日期 |
單元主題 |
第1週 |
02/19 |
I. Introduction -- Interchange theorems |
第4週 |
03/12 |
II. Evaluation of Integrals:
Contour integral |
第5週 |
03/19 |
II. Evaluation of integrals: contour integral and asymptotic series |
第6週 |
03/26 |
II. Evaluation of integrals: Method of steepest descent and methd of stationary phase |
第02週 |
02/26 |
I. Introduction --- Infinte series |
第03週 |
03/05 |
II. Evaluation of Integrals: Elementary methods |
第07週 |
04/02 |
II. Evaluation of integrals: method of Stationary phase.
III. Integral Transformations: Fourier series and Fourier Transform. |
第08週 |
04/09 |
III. Integral Transformations: Fourier Transform and Laplace Transform. |
第09週 |
04/16 |
III. Integral Transformations: Laplace Transform and Hilbert Transform. |
第10週 |
04/23 |
Midterm Examination: Infinite series, Evaluation of integrals and Integral transforms (Fourier transform and Laplace transform) |
第11週 |
4/30 |
III. Integral transforms: Hilbert transform
IV. Green's function |
第12週 |
5/7 |
IV. Green's function: linear operator |
第13週 |
5/14 |
IV. Green's function. |
第14週 |
5/21 |
IV. Green's function: heat equation |
第15週 |
5/28 |
IV. Green's function: wave equation and possion equation |
第16週 |
6/4 |
V. Special function: Legendre function |
第17週 |
6/11 |
V. Special function: Legendre function |
第18週 |
6/18 |
Final Examination |