線性代數
Linear Algebra
| 節 | 週三 |
|---|---|
3 10:10–11:00 | 線性代數 EC114 2 節連堂 |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
Course outline: This is an introductory course in Linear Algebra with emphasis on basic knowledge and concepts. Course objectives: Solve the linear equation Ax=b by Gaussian elimination and Gaussian-Jordan elimination. Proof the properties of matrices and determinants and use them in solving problems. Describe and explain vector spaces: basis, dimension, change of basis, and solve linear equations. Apply eigendecomposition and singular vector decomposition and differentiate their strengths. Formulate a real-world problem as a linear algebra problem and evaluate the performance of the linear algebra solution.
High-school level mathematics and understanding in vector, matrix, and linear equations.
1) All registered students and waitlist students should appear in the first online meeting (no physical class) at 10:10, 2022/09/14 (link: https://meet.google.com/gvs-wmco-ptz). Students fail to participate in the first meeting may be withdrawn from the class as a 'no show'. 2) Lectures will be given as online meetings. Quizzes and presentations will be held physically in the classroom EC114. 3) No show in class (either online or physical) may lead to loss in grades. 4) Waitlist policy will be announced in the first meeting. ***** This course only accepts online enrollment. ***** ***** Course operation may be subject to change due to unforeseen causes. ***** *** Meeting link on 09/14: (https://meet.google.com/gvs-wmco-ptz) and (https://meet.google.com/msf-rynt-scx) *** Form required to be filled in the first meeting: https://forms.gle/Cm1A7AgDBRXAoF1Y9
Attendance: 10% Assignment (Homework and Note): 30% Quiz: 30% Project: 30%
| 週次 | 主題 |
|---|---|
| 第 1 週 | Course introduction Solving Linear Equations |
| 第 2 週 | Solving Linear Equations |
| 第 3 週 | Vector Spaces and Subspaces |
| 第 4 週 | Vector Spaces and Subspaces |
| 第 5 週 | Vector Spaces and Subspaces |
| 第 6 週 | Projection |
| 第 7 週 | Projection |
| 第 8 週 | Orthogonality |
| 第 9 週 | Orthogonality |
| 第 10 週 | Determinants |
| 第 11 週 | Eigenvalues and Eigenvectors |
| 第 12 週 | Project proposal |
| 第 13 週 | No class on 12/07 (University Sports Day) |
| 第 14 週 | Singular Value Decomposition |
| 第 15 週 | Design project presentation |
| 第 16 週 | Design project presentation |
(optional) Introduction to Linear Algebra, 4th ed., Gilbert Strang Linear Algebra with Applications, 8th ed., Steven J. Leon
- 地點
- EC240 or online
- 時間
- 8:20-9:20 AM Thursday
- 聯絡方式
- Chun-Shu Wei (wei@nycu.edu.tw) TAs: Yue-Ting Pan (timpan.cs10@nycu.edu.tw), Sung-Yu Chen (kobe29856907@gmail.com), Hsi-An Chen (hsianchen.cs11@nycu.edu.tw)