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| 週次 | 課程內容 | 課程影音 |
|---|---|---|
| 第一章 Ordinary Differential Equations (ODE) 課程介紹 | 線上觀看 | |
| Exact 1st order equations Separable 1st order equations | 線上觀看 | |
| Homogeneous 1st order equations Linear 1st order equations | 線上觀看 | |
| Nonohomogeous equations(1/2) | 線上觀看 | |
| Nonohomogeous equations(2/2) | 線上觀看 | |
| Variation of parameters 2nd order equations Differential equations with constant coefficients & Applications | 線上觀看 | |
| 第二章 Linear Algebra System of linear equations Determinants | 線上觀看 | |
| Vector spaces(1/5) | 線上觀看 | |
| Vector spaces(2/5) | 線上觀看 | |
| Vector spaces(3/5) | 線上觀看 | |
| Vector spaces(4/5) | 線上觀看 | |
| Vector spaces(5/5) | 線上觀看 | |
| Linear transformatio Eigenvalue problems | 線上觀看 | |
| Quadratic forms Applications | 線上觀看 | |
| 第三章 Laplace Transform Convergence of Laplace transform | 線上觀看 | |
| Special functions | 線上觀看 | |
| Properties(1/2) | 線上觀看 | |
| Properties(2/2) | 線上觀看 | |
| Convolution theorem | 線上觀看 | |
| Application to system theory | 線上觀看 | |
| 第四章 Fourier Series and Transform Fourier series | 線上觀看 | |
| Half-range expansion | 線上觀看 | |
| Applications of Fourier series | 線上觀看 | |
| Fourier transform | 線上觀看 | |
| Properties | 線上觀看 | |
| Applications | 線上觀看 |