|
週次 |
日期 |
單元主題 |
|
第0週 |
|
(以下課程進度可能因學習狀況而調整) |
|
第1-1週 |
2/19 |
11.1 Fourier series: Euler formulas, Orthogonality of trigonometric system, Fourier theorem |
|
第1-2週 |
2/22 |
11.1 Fourier series: Example (rectangular wave)
11.2 Periodic function with arbitrary period. |
|
第2-1週 |
2/26 |
11.2 Even and odd functions. Half-range expansions |
|
第2-2週 |
2/29 |
(11.4 in 9 edition) Fourier series in complex form |
|
第3-1週 |
3/4 |
11.4 Approximation by trigonometric polynomials |
|
第3-2週 |
3/7 |
第一次評量 |
|
第4-1週 |
3/11 |
11,7 Fourier integral |
|
第4-2週 |
3/14 |
11.8 Fourier cosine and sine integrals |
|
第5-1週 |
3/18 |
11.8 Fourier cosine and sine transforms |
|
第5-2週 |
3/21 |
11.9 Fourier transform |
|
第6-1週 |
3/25 |
11.9 Fourier transform (cont'd) |
|
第6-2週 |
3/28 |
第二次評量 |
|
第7-1週 |
4/1 |
12.1 Basic concepts of partial differential equations
12.2 Modeling: vibrating string (wave equation) |
|
第7-2週 |
4/4 |
放假停課 |
|
第8-1週 |
4/8 |
12.3 Solution of wave equation by method of separation of variables |
|
第8-2週 |
4/11 |
12.3 Solution of wave equation by method of separation of variables |
|
第9-1週 |
4/15 |
12.4 D'Alembert's solution of the wave equation |
|
第9-2週 |
4/18 |
第三次評量 |
|
第10-1週 |
4/22 |
12.5 Modeling: 1-D heat conduction (1-d heat equation): differential and integral approaches |
|
第10-2週 |
4/25 |
12.6 Solution of heat equation by method of separation of variables (isothermal boundaries) |
|
第11-1週 |
4/29 |
12.6 Solution of heat equation by method of separation of variables (adiabatic boundaries)
Physical meanings of Dirichlet and Neumann boundary conditions |
|
第11-2週 |
5/2 |
11-5 Sturm-Liouville problems. Orthogonal functions |
|
第12-1週 |
5/6 |
Steady 2-D heat equation |
|
第12-2週 |
5/9 |
第四次評量 |
|
第13-1週 |
5/13 |
12.7 Heat equation for infinite-long bars (Fourier integral) |
|
第13-2週 |
5/16 |
12.7 Heat equation for infinite-long bars (Fourier transform)
Heat equation for semi-infinite-long bars (Fourier cosine or sine transform) |
|
第14-1週 |
5/20 |
Heat equation for semi-infinite-long bars (Fourier cosine or sine transform) |
|
第14-2週 |
5/23 |
Wave equation along an infinite-long string (Fourier transform) |
|
第15-1週 |
5/27 |
Steady 2-D heat equation in semi-infinite domain (Fourier transform) |
|
第15-2週 |
5/30 |
第五次評量 |