|
週次 |
日期 |
單元主題 |
|
第1週 |
3/01 |
11.1 Fourier series: Example (rectangular wave) |
|
第1週 |
2/26 |
11.1 Fourier series: Euler formulas, Orthogonality of trigonometric system, Fourier theorem (convergence and sum of Fourier series) |
|
第2週 |
3/08 |
11.2 Half-range expansions: Example |
|
第2週 |
3/05 |
11.2 Periodic function with arbitrary period. Even & odd functions. Half-range expansions |
|
第3週 |
3/15 |
第一次考試 |
|
第3週 |
3/12 |
11.3 Forced oscillations |
|
第4週 |
3/19 |
11,7 Fourier integral |
|
第4週 |
3/22 |
11.7 Fourier cosine and sine integrals 11.8 Fourier cosine and sine transforms |
|
第5週 |
3/26 |
11.9 Fourier transform |
|
第5週 |
3/29 |
11.9 Fourier transform |
|
第6週 |
4/05 |
(溫書假停課) |
|
第6週 |
4/02 |
(溫書假停課) |
|
第7週 |
4/12 |
(停課一次，3/19補課) |
|
第7週 |
4/09 |
第二次考試 |
|
第8週 |
4/16 |
12.1 Basic concepts of partial differential equations 12.2 Modeling: vibrating string (wave equation)
|
|
第8週 |
4/19 |
12.3 Solution of wave equation by method of separation of variables |
|
第9週 |
4/23 |
12.4 D'Alembert's solution of the wave equation |
|
第9週 |
4/26 |
12.5 Modeling: 1-D heat conduction (1-d heat equation): differential approach |
|
第10週 |
4/30 |
12.5 Modeling: 3-D heat conduction (3-d heat equation): integral approach 12.6 Solution of heat equation by method of separation of variables (isothermal boundaries) |
|
第10週 |
5/03 |
12.6 Solution of heat equation by method of separation of variables (adiabatic boundaries)
Physical meanings of Dirichlet and Neumann boundary conditions |
|
第11週 |
5/07 |
第三次考試 |
|
第12週 |
5/17 |
第四次考試 |
|
第15週 |
6/04 |
第五次考試 |
|
第17週 |
6/18 |
(端午節停課) |
|
第18週 |
6/25 |
第六次考試 |