| 時間 | 章節 | 主題 | |
|---|---|---|---|
| 2/19 | 課程簡介, computer online demonstration | ||
| 2/20 | 1.1, 1.2 | Hyperbolic PDEs & Method of Characteristics | |
| 2/26 | 3.3 | Method of Seperation of Variables | |
| 2/27 | 3.4, 3.2 | D'Alembert Method, Derivation of Wave Equation | |
| 3/5 | 2.1 | Derivation of conservation laws | |
| 3/6 | 3.1, 2.1, 2.2, 2.3 | Classification of linear 2nd-order PDEs, Fourier series | |
| 3/12 | 到中研院開會 (停課), 演習課照常上課 | ||
| 3/13 | 到中研院開會 (停課) | ||
| 3/19 | 2.5, 2.6 | Mean square approximation & Complex form of Fourier series | |
| 3/20 | 2.5, 2.7, 2.8 | Parseval's identity & uniform convergence | |
| 3/26 | 3.5, 3.6 | 1D heat equation | |
| 3/27 | 3.10 | Maximum principle | |
| 4/2 | 春假 | ||
| 4/3 | 春假 | ||
| 4/9 | 3.7 | multi-D heat and wave equations | |
| 4/10 | 3.8 | Laplace's equation | |
| 4/16 | 3.9 | Eigenfunction expansion | |
| 4/17 | 7.1, 7.1 | Fourier integral & Fourier transform | |
| 4/21 | 期中考試(周六 10:00am 新數101) | ||
| 4/23 | 7.3, 7.4 | Fourier transform method, Heat equation | |
| 4/24 | 7.4, 7.5 | Heat eq., Gauss's kernel, Poisson integral formula | |
| 4/30 | 7.6 | Fourier sine \& cosine transform | |
| 5/1 | 7.6, 7.7 | Problems in semi-infinite domain | |
| 5/7 | Midterm review | ||
| 5/8 | 11.1 | Schrodinger Eq. | |
| 5/14 | 11.1, 11.4 | Harmonic oscillator, Hermite poly. | |
| 5/15 | 11.2, 11.4 | Hydrogen atom, spherical harmonics, Laguerre poly | |
| 5/21 | 11.2 | Hydrogen atom | |
| 5/22 | 11.3 | Heisenberg's uncertainty principle | |
| 5/28 | 4.4 | Steady-state temperature in a disk: Poisson's formula | |
| 5/29 | |||
| 6/4 | |||
| 6/5 | |||
| 6/11 | 期末考試(2:10-5:00pm 新數101) |