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教學平台http://e3.nctu.edu.tw/。
(1) 期中考:50% (Chap 1-Chap 4) (2) 期末考:50%(Chap 5- Chap 7)
System of Linear Equations (Chap 1)
1.1 Introduction to Systems of Linear Equations; 1.2 Gaussian Elimination
- 講授：
- 3
Matrices (Chap 2)
2.1 Operations with Matrices; 2.2 Properties of Matrix Operations; 2.3 The Inverse of a Matrix 2.4 Elementary Matrices;
- 講授：
- 6
Determinants (Chap 3)
3.1 The Determinant of a Matrix 3.2 Evaluation of a Determinant Using Elementary Operations 3.3 Properties of Determinants;
- 講授：
- 3
Vector Spaces (Chap 4)
4.1 Vectors in Rn; 4.2 Vector Spaces; 4.3 Subspaces of Vector Spaces; 4.4 Spanning Sets and Linear Independence; 4.5 Basis and Dimension; 4.6 Rank of a Matrix; 4.7 Coordinates and Change of Basis
- 講授：
- 9
Inner Product Spaces (Chap 5)
5.1 Length and Dot Product; 5.2 Inner Product Spaces 5.3 Orthogonal Basis
- 講授：
- 4
Linear Transformations (Chap 6)
6.1 Introduction to Linear Transformation 6.2 Kernel and Range; 6.3 Matrices for Linear Transformations; 6.4 Transition Matrices and Similarity
- 講授：
- 7
Eigenvalues and Eigenvectors (Chap 7)
7.1 Eigenvalues and Eigenvectors; 7.2 Diagonalization 7.3 Symmetrical Matrices and Orthogonal Diagonalization;
- 講授：
- 8
| 週次 | 主題 |
|---|---|
| 第 1 週 | 1.1 Introduction to Systems of Linear Equations; 1.2 Gaussian Elimination 2.1 Operations with Matrices 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 5.3 Orthogonal Basis 4/30 5/1 |
| 第 10 週 | ● Exam 1: Chap 1-Chap 4 (1:20-3:10 期中考)(星期四) 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; 6.4 Transition Matrices and Similarity 5/21 5/22 |
| 第 13 週 | 6.3 Matrices for Linear Transformations; 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)(1:20-3:10 期末考) ● 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 (1) 因請假無法參加期末考者,辦理補考 6/25 6/26 |
| 第 18 週 | (1) 請同學自行上網看線上課程(各章的應用單元) (2) 學期成績確定 7/2 7/3 |
R. Larson, Elementary Linear Algebra, Cengage, 8th Edition, 2015 (高立圖書).
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