線性代數
Linear Algebra
| 節 | 週四 | 週五 |
|---|---|---|
2 09:00–09:50 | 線性代數 A309（光復） | |
5 13:20–14:10 | 線性代數 A309（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) 第一次期中考:30% (範圍:Chap 1-Chap 3) (2) 第二次期中考:30% (範圍:Chap 4-Chap 5) (3) 期末考:40% (範圍:Chap 6-Chap 7)
I. System of Linear Equations
1. Introduction to Systems of Linear Equations 2. Gaussian Elimination
- 講授：
- 3
II. Matrices
1. Matrix Operations 2. Properties of Matrix Operations 3. The Inverse of a Matrix 4. Elementary Matrices
- 講授：
- 6
III. Determinants
1. The Determinant of a Matrix 2. Evaluation of a Determinant 3. Properties of Determinants
- 講授：
- 3
IV. Vector Spaces
1. Vectors in R^n 2. Vector Spaces 3. Subspaces of Vector Spaces 4. Spanning Sets and Linear Independence 5. Basis and Dimension 6. Rank of a Matrix 7. Coordinates and Change of Basis
- 講授：
- 11
V. Inner Product Spaces
1. Length and Dot Product 2. Inner Product Spaces 3. Orthogonal Basis
- 講授：
- 4
VI. Linear Transformations
1. Introduction to Linear Transformation 2. Kernel and Range 3. Matrices for Linear Transformations 4. Transition Matrices and Similarity
- 講授：
- 9
VII. Eigenvalues and Eigenvectors
1. Eigenvalues and Eigenvectors 2. Diagonalization 3. Symmetrical Matrices and Orthogonal Diagonalization
- 講授：
- 6
VIII. Applications of Linear Algebra
Open Courseware
- 示範：
- 6
| 週次 | 主題 |
|---|---|
| 第 1 週 | 1.1 Introduction to Systems of Linear Equations 1.2 Gaussian Elimination 2/25 2/26 |
| 第 2 週 | 2.1 Operations with Matrices 2.2 Properties of Matrix Operations 3/4 3/5 |
| 第 3 週 | 2.3 The Inverse of a Matrix 2.4 Elementary Matrices 3/11 3/12 |
| 第 4 週 | 3.1 The Determinant of a Matrix 3.2 Evaluation of a Determinant Using Elementary Operations 3.3 Properties of Determinants 3/18 3/19 |
| 第 5 週 | ● 3/25(星期四)13:20-15:10 第一次期中考 (範圍:Chap 1-Chap 3) 4.1 Vectors in R^n 3/25 3/26 |
| 第 6 週 | 4.2 Vector Spaces ● 4/2 暫停上課(兒童補假一天) 4/1 |
| 第 7 週 | 4.3 Subspaces of Vector Spaces 4.4 Spanning Sets and Linear Independence 4/8 4/9 |
| 第 8 週 | 4.5 Basis and Dimension 4.6 Rank of a Matrix 4/15 4/16 |
| 第 9 週 | 4.7 Coordinates and Change of Basis 5.1 Length and Dot Product 4/22 4/23 |
| 第 10 週 | 5.2 Inner Product Spaces 5.3 Orthogonal Basis 4/29 4/30 |
| 第 11 週 | ● 5/6(星期四)13:20-15:10第二次期中考 (範圍:Chap 4-Chap 5) 6.1 Introduction to Linear Transformation 5/6 5/7 |
| 第 12 週 | 6.2 Kernel and Range 6.3 Matrices for Linear Transformations 5/13 5/14 |
| 第 13 週 | 6.3 Matrices for Linear Transformations 6.4 Transition Matrices and Similarity 5/20 5/21 |
| 第 14 週 | 7.1 Eigenvalues and Eigenvectors 7.2 Diagonalization 5/27 5/28 |
| 第 15 週 | 7.3 Symmetrical Matrices and Orthogonal Diagonalization 6/3 6/4 |
| 第 16 週 | ● 6/10(星期四)13:20-15:10 期末考 (範圍:Chap 6-Chap 7) ● 6/11(星期五)公布期末考與學期成績、成績疑義查詢 6/10 6/11 |
| 第 17 週 | ● 6/14-6/16因請假無法參加期末考者,辦理補考 ● 請同學自行上網看線上課程(各章的應用單元) 6/17 6/18 |
| 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 6/24 6/25 |
Ron Larson, Cengage, 8th Edition, 2015 (高立圖書).
- 地點
- 各授課教師另行公佈
- 時間
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- 聯絡方式
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