|
週次 |
日期 |
單元主題 |
|
第1週 |
2/23 |
Ch7 Linear algebra: matrices, vectors (Homework: 7.1-7.8) |
|
第2週 |
3/02 |
Ch8 Linear algebra: matrix eigenvalue problems (Homework: 8.1-8.4) [*Reading: 8.1-8.2 eigenvalue problem; *Presentation: http://setosa.io/ev/eigenvectors-and-eigenvalues/] |
|
第3週 |
3/09 |
Ch9 Vector differential calculus (Homework: 9.4-9.9) [*Reading: 9.8-9.9 divergence, curl; *Presentation: divergence, curl in polar coordinates] |
|
第4週 |
3/16 |
Ch10 Vector integral calculus (Homework: 10.1-10.9) [*Reading: 10.7 Gauss divergence theorem; *Presentation: application in Fluid Mechanics] |
|
第5週 |
3/23 |
*** Quiz 1 (Ch8-Ch10) |
|
第6週 |
3/30 |
Ch11 Fourier analysis (Homework: 11.1-11.3) [*Reading: 11.1 Fourier series; *Presentation: http://blog.xuite.net/lapuda.chen/PaulBlog/221866406-%E5%A6%82%E6%9E%9C%E7%9C%8B%E4%BA%86%E6%AD%A4%E6%96%87%E4%BD%A0%E9%82%84%E4%B8%8D%E6%87%82%E5%82%85%E9%87%8C%E8%91%89%E8%AE%8A%E6%8F%9B%28Fourier+Transform%29%EF%BC%8C%E9%82%A3%E5%B0%B1%E9%81%8E%E4%BE%86%E6%8E%90%E6%AD%BB%E6%88%91%E5%90%A7!] |
|
第7週 |
4/06 |
Ch11 Fourier analysis (Homework: 11.4-11.6) [*Reading: 11.5 Sturm-Liouville problems, orthogonal functions; *Presentation: Orthogonality of Bessel, Legendre functions] |
|
第8週 |
4/13 |
Ch11 Fourier analysis (Homework: 11.7-11.10) [*Reading: 11.7 Fourier integral; *Presentation: Fourier integral using Matlab] |
|
第9週 |
4/20 |
*** Quiz 2 (Ch11) |
|
第10週 |
4/27 |
Ch13 Complex numbers and functions, Complex differentiation (Homework: 13.1-13.7) |
|
第11週 |
5/04 |
Ch17.1-17.2 Conformal mapping; Ch18.4 Fluid flow |
|
第12週 |
5/11 |
Ch14 Complex integration (Homework: 14.1-14.3) |
|
第13週 |
5/18 |
Ch12 Partial differentail equations (Homework: 12.1-12.4, 12.8, 12.9) [*Reading: 12.1 Wave equation; *Presentation: simulation of wave equation, http://kiwiphysics.blogspot.tw/2014/08/blog-post_96.html, https://www.youtube.com/watch?v=mCYyY6MmZfA#t=376.355147] |
|
第14週 |
5/25 |
*** Quiz 3 (Ch13, Ch14.1-14.3, Ch17.1-17.2, Ch18.4) |
|
第15週 |
6/01 |
Ch12 Partial differentail equations (Homework: 12.5-12.7) [*Reading: 12.5 heat equation; *Presentation: simulation of heat equation]; ** Invited talk: Prof. Yin-Phan Tsang, https://yinphantsang.org/research/ |
|
第16週 |
6/08 |
Ch12 Partial differentail equations (Homework: 12.10-12.12) [*Reading: 12.10 Laplacian in polar cordinates; *Presentation: simulation of Laplace equation] |
|
第18週 |
6/22 |
Final exam (Ch12) |