週次 |
日期 |
單元主題 |
第1週 |
2/25 |
Ch7 Linear algebra: matrices, vectors |
第2週 |
3/04 |
Ch8 Linear algebra: matrix eigenvalue problems (Homework: 7.1-7.8, 8.1-8.4) [*Reading: 8.1-8.2 eigenvalue problem; *Presentation: http://setosa.io/ev/eigenvectors-and-eigenvalues/] |
第3週 |
3/11 |
Ch9 Vector differential calculus (Homework: 9.4-9.9) [*Reading: 9.8-9.9 divergence, curl; *Presentation: divergence, curl in polar coordinates; https://en.wikipedia.org/wiki/Del_in_cylindrical_and_spherical_coordinates] |
第4週 |
3/18 |
Ch10 Vector integral calculus (Homework: 10.1-10.9) [*Reading: 10.7 Gauss divergence theorem; *Presentation: 10.8 Application in Fluid Mechanics] |
第5週 |
3/25 |
*** Quiz 1 (Ch7-Ch10) |
第6週 |
4/01 |
Spring break (No class) |
第7週 |
4/08 |
Ch11 Fourier analysis (Homework: 11.1-11.3) [*Reading: 11.1 Fourier series; *Presentation: https://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8週 |
4/15 |
Ch11 Fourier analysis (Homework: 11.4-11.6) [*Reading: 11.5 Sturm-Liouville problems, orthogonal functions; *Presentation: Orthogonality of Bessel, Legendre functions] |
第9週 |
4/22 |
Ch11 Fourier analysis (Homework: 11.7-11.9) [*Reading: 11.7 Fourier integral; *Presentation: https://www.youtube.com/watch?v=r18Gi8lSkfM&t=309s] |
第10週 |
4/29 |
Ch11 Fourier analysis (Homework: 11.9) [*Reading: 11.9 Fourier transform, discrete and fast Fourier transforms; *Presentation: https://www.youtube.com/watch?v=6MXMDrs6ZmA] |
第11週 |
5/06 |
*** Quiz 2 (Ch11) |
第12週 |
5/13 |
Ch12 Partial differential 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13週 |
5/20 |
Ch12 Partial differential equations (Homework: 12.5-12.7) [*Reading: 12.5 heat equation; *Presentation: simulation of heat equation] |
第14週 |
5/27 |
Ch12 Partial differential equations (Homework: 12.10-12.12) [*Reading: 12.10 Laplacian in polar coordinates; *Presentation: simulation of Laplace equation] |
第15週 |
6/03 |
*** Quiz 3 (Ch12) |
第16週 |
6/10 |
Ch 13.1-13.4 Complex numbers and functions, complex differentiation (Homework: Ch 13.1-13.4) |
第17週 |
6/17 |
Ch 13.5-13.7 Complex numbers and functions, complex differentiation (Homework: Ch 13.5-13.7) |
第18週 |
6/24 |
*** Quiz 4 (Ch13) |