週次 |
日期 |
單元主題 |
第1週 |
3/3 |
I. Introduction -- Interchange theorems and Infinte series |
第4週 |
3/24 |
II. Evaluation of Integrals:
Contour integral |
第5週 |
3/31 |
II. Evaluation of integrals: contour integral, asymptotic series and Method of steepest descent |
第6週 |
4/7 |
II. Evaluation of integrals: Method of steepest descent and method of stationary phase
III. Integral Transformations: Fourier Transform |
第02週 |
3/10 |
I. Introduction --- Infinte series
II. Evaluation of Integrals: Elementary methods |
第03週 |
3/17 |
II. Evaluation of Integrals: Elementary methods and Residue theorem |
第07週 |
4/14 |
III. Integral Transformations: Fourier Transform and Laplace Transform |
第08週 |
4/21 |
III. Integral Transformations: Fourier Transform and Laplace Transform |
第09週 |
4/28 |
III. Integral Transformations: Hilbert transform
IV Green Function: Linear operator |
第10週 |
5/5 |
Midterm Exam |
第11週 |
5/12 |
IV. Green's function: Linear operator |
第12週 |
5/19 |
IV. Green's function: eigenvectors and eigenvalues |
第13週 |
5/26 |
IV. Green's function: heat equation |
第14週 |
6/2 |
IV. Green's function: wave equation and poisson equation |
第15週 |
6/9 |
IV. Green's function: wave equation |
第16週 |
6/16 |
Final Exam |
第17週 |
6/23 |
No class |
第18週 |
6/30 |
No class |