週次 |
日期 |
單元主題 |
第1週 |
2/21 |
I. Introduction -- Interchange theorems |
第4週 |
3/14 |
II. Evaluation of Integrals:
Contour integral |
第5週 |
3/21 |
II. Evaluation of integrals: contour integral |
第6週 |
3/28 |
II. Evaluation of integrals:asymptotic series and Method of steepest descent |
第02週 |
2/28 |
228 Memorial Day |
第03週 |
3/7 |
I. Introduction --- Infinte series
II. Evaluation of Integrals: Elementary methods |
第07週 |
4/4 |
No class |
第08週 |
4/11 |
II. Evaluation of integrals: method of Stationary phase.
III. Integral Transformations: Fourier series and Fourier Transform. |
第09週 |
4/18 |
III. Integral Transformations: Fourier Transform and Laplace Transform |
第10週 |
4/25 |
III. Integral Transforms: Laplace Transform and Hilbert Transform |
第11週 |
4/28 |
9:30 - 11:30
Midterm Examination: Infinite series, Evaluation of integrals and Integral transforms (Fourier transform and Laplace transform) |
第12週 |
5/2 |
IV. Green's function: linear operator |
第13週 |
5/9 |
IV. Green's function. |
第14週 |
5/16 |
IV. Green's function: heat equation |
第15週 |
5/23 |
IV. Green's function: wave equation and possion equation |
第16週 |
5/30 |
no class (National holiday) |
第17週 |
6/6 |
V. Special function: Legendre function |
第18週 |
6/13 |
Final Examination |