|
週次 |
日期 |
單元主題 |
|
第1週 |
09/12 |
***** No class |
|
第2週 |
09/19 |
Ch1: Matrices and Gaussian elimination [Transformations: https://www.youtube.com/watch?v=roRR6A3TozM] |
|
第3週 |
09/26 |
Ch2: Vector Spaces {第一組 Presentation: (2.2) Visualization of elimination on column space} [Linear transformation: https://www.youtube.com/watch?v=kYB8IZa5AuE&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab&index=4&t=0s] |
|
第4週 |
10/03 |
Ch3: Orthogonality (I) {第二組 Presentation: (3.3) Projections and least squares} |
|
第5週 |
10/10 |
***** National Holiday (No class) |
|
第6週 |
10/17 |
Ch3: Orthogonality (II) {第三組 Presentation: (3.4) Function space and 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%21] |
|
第7週 |
10/24 |
Ch4: Determinants {第四組 Presentation: (5.2) Diagonalization of a Matrix} [Eigenvalue problem: http://setosa.io/ev/eigenvectors-and-eigenvalues/] [Determinant: https://www.youtube.com/watch?v=Ip3X9LOh2dk&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab&index=7&t=82s] |
|
第8週 |
10/31 |
Ch5: Eigenvalues and Eigenvectors (I) {第五組 Presentation: (5.1) Introduction} |
|
第9週 |
11/07 |
***** Midterm exam
|
|
第10週 |
11/14 |
***** No class |
|
第11週 |
11/21 |
Ch5: Eigenvalues and Eigenvectors (II) {第六組 Presentation: (5.3) Markov Matrix} {第一組 Presentation: (5.6) Similarity Transformations} [Markov chain: http://setosa.io/ev/eigenvectors-and-eigenvalues/] |
|
第12週 |
11/28 |
Ch6: Positive Definite Matrices (I) {第二組 Presentation: (6.3) Singular value decomposition} |
|
第13週 |
12/05 |
Ch6: Positive Definite Matrices (II) {第三組 Presentation: Principle component analysis (PCA): http://setosa.io/ev/principal-component-analysis/} |
|
第14週 |
12/12 |
***** No class |
|
第15週 |
12/19 |
Ch7: Computations with Matrices {第四組 Presentation: Introduction to linear algebra/Strang/ (P.372) Singular value decomposition、Linear algebra and its application/Strang/ (P.332-333) image processing} |
|
第16週 |
12/26 |
Ch8 Linear programming & game theory, Linear algebra in probability & statistics {第五組 Presentation: (2.5) Graphs and networks} |
|
第17週 |
01/02 |
Appendix B: The Jordan Form {第六組 Presentation: (Appendix B) The Jordan Form} |
|
第18週 |
01/09 |
***** Final exam |