Linear Algebra (1)
線性代數一
授課教師: 李宗儒 Tsung-Ju Lee
學分數: 3
上課時間: 星期三 9:10am - 10:00am, 星期五 10:10am - 12:00pm
實習課時間: 星期三 8:10am - 9:00am
上課地點: 36204
課程網站: Moodle
先修課程或先備能力：高中數學
重要公告與注意事項：
- 評分方式：期中考 30%、期末考 30%、作業 24%、小考16%
- 小考預計共 4 次，每次佔 4%
- 每週都會有指定作業，約 6-7 題，於隔週助教課繳交給助教
預計課程內容與進度：
| 上課日期 | 章節 | |
|---|---|---|
| 9/11, 9/13 | 1.4 & 3.4 | Sets and funtions;systems of linear equations. |
| 9/18, 9/20 | 1.3 - 1.6 | Vector spaces; bases; dimension. |
| 9/25, 9/27 | 2.1 & 2.4 | Linear transformations; isomorphisms; quotient spaces; dimension theorem. |
| 10/2, 10/4 | 2.2 - 2.4 | Matrix representation; invertibility. |
| 10/9, 10/11 | 2.5 - 2.6 | Change of coordinate matrices; dual spaces. |
| 10/16, 10/18 | 3.1 - 3.2 | Elementary matrices; the rank of a matrix. |
| 10/23, 10/25 | 3.3 - 3.4 | Systems of linear equations (review). |
| 10/30, 11/1 | 2.7 & 4.1 | Homogeneous linear differential equations; determinants. |
| 11/6, 11/8 | 4.2 | Determinants; midterm. |
| 11/13, 11/15 | 4.2 - 4.3 | Determinants and the computation of determinants. |
| 11/20, 11/22 | 4.3 - 4.4 | Determinants and multilinear maps. |
| 11/27, 11/29 | 5.1 | Eigenvalues and eigenvectors. |
| 12/4, 12/6 | 5.2 | Diagonalizability. |
| 12/11, 12/13 | Invariant subspaces; Cayley--Hamilton theorem. | |
| 12/18, 12/20 | Simultaneously diagonalizable; upper-triangularization. | |
| 12/25, 12/27 | Matrix limits and Markov chains. | |
| 1/1 (停課), 1/3 (Final) | Final Exam. |