週次 |
日期 |
單元主題 |
第1週 |
02/18 |
I. Introduction -- Interchange theorems |
第4週 |
03/11 |
II. Evaluation of Integrals:
Contour integral |
第5週 |
03/18 |
II. Evaluation of integrals: contour integral and asymptotic series |
第6週 |
03/25 |
II. Evaluation of integrals: Method of steepest descent and methd of stationary phase |
第02週 |
02/25 |
I. Introduction --- Infinte series |
第03週 |
03/04 |
II. Evaluation of Integrals: Elementary methods |
第07週 |
04/01 |
II. Evaluation of integrals: method of Stationary phase.
III. Integral Transformations: Fourier series and Fourier Transform. |
第08週 |
|
III. Integral Transformations: Fourier Transform and Laplace Transform. |
第09週 |
|
III. Integral Transformations: Laplace Transform and Hilbert Transform. |
第10週 |
|
Midterm Examination: Infinite series, Evaluation of integrals and Integral transforms (Fourier transform and Laplace transform) |
第11週 |
|
III. Integral transforms: Hilbert transform
IV. Green's function |
第12週 |
|
IV. Green's function: linear operator |
第13週 |
|
IV. Green's function. |
第14週 |
|
IV. Green's function: heat equation |
第15週 |
|
IV. Green's function: wave equation and possion equation |
第16週 |
|
V. Special function: Legendre function |
第17週 |
|
V. Special function: Legendre function |
第18週 |
|
Final Examination |