線性代數
Linear Algebra
| 節 | 週四 | 週五 |
|---|---|---|
2 09:00–09:50 | 線性代數 A316（光復） | |
5 13:20–14:10 | 線性代數 A316（光復） 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
說明線性代數之基本觀念及相關之定理與運算,使學習者建立運用線性代數解決有關工程與管理問題之基礎。
無
無備註
課堂講解為主,並輔助以助教習作課程,相關教學資料提供於New e3數位教學平台:https://e3new.nctu.edu.tw/。
(1) 期中考:50% (範圍:Chap 1-Chap 4) (2) 期末考:50% (範圍:Chap 5-Chap 7)
System of Linear Equations
1. Introduction to Systems of Linear Equations 2. Gaussian Elimination 3. Applications of Systems of Linear Equations
- 講授：
- 3
Matrices
1. Matrix Operations 2. The Inverse of a Matrix 3. Elementary Matrices 4. Applications of Matrix Operations
- 講授：
- 6
Determinants
1. The Determinant of a Matrix 2. Evaluation of a Determinant 3. Properties of Determinants 4. Applications of Determinants
- 講授：
- 3
Vector Spaces
1. Vector Spaces 2. Subspaces of Vector Spaces 3. Spanning Sets and Linear Independence 4. Basis and Dimension 5. Rank of a Matrix 6. Coordinates and Change of Basis 7. Applications of Vector Spaces
- 講授：
- 9
Inner Product Spaces
1. Length and Dot Product 2. Inner Product Spaces 3. Orthogonal Basis 4. Least Squares Analysis
- 講授：
- 4
Linear Transformations
1. Introduction to Linear Transformation 2. Kernel and Range 3. Matrices for Linear Transformations 4. Transition Matrices and Similarity
- 講授：
- 9
Eigenvalues and Eigenvectors
1. Eigenvalues and Eigenvectors 2. Diagonalization 3. Symmetrical Matrices and Orthogonal Diagonalization
- 講授：
- 6
| 週次 | 主題 |
|---|---|
| 第 1 週 | 1.1 Introduction to Systems of Linear Equations 1.2 Gaussian Elimination 3/5 3/6 |
| 第 2 週 | 2.1 Operations with Matrices 2.2 Properties of Matrix Operations 3/12 3/13 |
| 第 3 週 | 2.3 The Inverse of a Matrix 2.4 Elementary Matrices 3/19 3/20 |
| 第 4 週 | 3.1 The Determinant of a Matrix 3.2 Evaluation of a Determinant Using Elementary Operations 3.3 Properties of Determinants 3/26 3/27 |
| 第 5 週 | ● 4/2兒童、清明節調整放假 ● 4/3兒童節放假一日 4/2 4/3 |
| 第 6 週 | 4.1 Vectors in Rn 4.2 Vector Spaces 4.3 Subspaces of Vector Spaces 4/9 4/10 |
| 第 7 週 | 4.4 Spanning Sets and Linear Independence 4.5 Basis and Dimension 4/16 4/17 |
| 第 8 週 | 4.6 Rank of a Matrix 4.7 Coordinates and Change of Basis 4/23 4/24 |
| 第 9 週 | 5.1 Length and Dot Product 5.2 Inner Product Spaces 4/30 5/1 |
| 第 10 週 | ● 5/7(星期四)13:20-15:10 期中考 (範圍:Chap 1-Chap 4) 5.3 Orthogonal Basis 5/7 5/8 |
| 第 11 週 | 6.1 Introduction to Linear Transformation 6.2 Kernel and Range 5/14 5/15 |
| 第 12 週 | 6.3 Matrices for Linear Transformations 5/21 5/22 |
| 第 13 週 | 6.4 Transition Matrices and Similarity 5/28 5/29 |
| 第 14 週 | 7.1 Eigenvalues and Eigenvectors 7.2 Diagonalization 6/4 6/5 |
| 第 15 週 | 7.3 Symmetrical Matrices and Orthogonal Diagonalization 6/11 6/12 |
| 第 16 週 | ● 6/18(星期四)13:20-15:10 期末考 (範圍:Chap 5-Chap 7) ● 6/19(星期五)公布期末考與學期成績、成績疑義查詢 6/18 6/19 |
| 第 17 週 | ● 6/25端午節、6/26(端午節調整放假日) (6/25-6/26皆國定假日) ● 6/22-6/24因請假無法參加期末考者,辦理補考 6/25 6/26 |
| 第 18 週 | ● 請同學自行上網看線上課程(各章的應用單元) ● 學期成績確定 7/2 7/3 |
Ron Larson, Cengage, 8th Edition, 2015 (高立圖書).
- 地點
- A820(綜合一館)
- 時間
- (1) 星期五10:00-11:00 (2) e-mail預約時間
- 聯絡方式
- 電郵:srhu@nctu.edu.tw 電話:03-5712121分機57210