週次 |
日期 |
單元主題 |
第1週 |
2/27 |
I. Introduction -- Interchange theorems |
第4週 |
3/20 |
II. Evaluation of Integrals:
Contour integral |
第5週 |
3/27 |
II. Evaluation of integrals: contour integral, asymptotic series and Method of steepest descent |
第6週 |
4/3 |
No class |
第02週 |
3/6 |
I. Introduction --- Infinte series
II. Evaluation of Integrals: Elementary methods |
第03週 |
3/13 |
I. Introduction --- Infinte series
II. Evaluation of Integrals: Elementary methods |
第07週 |
4/10 |
II. Evaluation of integrals: Method of steepest descent and method of stationary phase |
第08週 |
4/17 |
II. Evaluation of integrals: method of Stationary phase.
III. Integral Transformations: Fourier series and Fourier Transform. |
第09週 |
4/24 |
III. Integral Transformations: Fourier Transform and Laplace Transform |
第10週 |
5/1 |
III. Integral Transforms: Laplace Transform and Hilbert Transform |
第11週 |
5/8 |
9:10 - 11:10
Midterm Examination: Infinite series, Evaluation of integrals and Integral transforms (Fourier transform and Laplace transform) |
第12週 |
5/15 |
IV. Green's function: linear operator |
第13週 |
5/22 |
IV. Green's function. |
第14週 |
5/29 |
IV. Green's function: heat equation |
第15週 |
6/5 |
IV. Green's function: wave equation and possion equation |
第16週 |
6/12 |
No class |
第17週 |
6/19 |
V. Green's function: wave equation |
第18週 |
6/26 |
Final Examination |