線性代數
Linear Algebra
| 節 | 週四 |
|---|---|
5 13:20–14:10 | 線性代數 MB520（光復） 3 節連堂 |
6 14:20–15:10 | |
7 15:30–16:20 |
* 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。 In this course on Linear Algebra we introduce the basic concept and how it relates to vectors and matrices. Then we look through what vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors, and how to use these to solve problems.
無 n.a.
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/。 In class lecture. Extra sources would be uploaded to e3.
(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) (1) 1st Mid Exam: 30% (Contents: Chap 1-Chap 3) (2) 2nd Mid Exam: 30% (Contents: Chap 4-Chap 5) (3) Final Exam: 40% (Contents: 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
| 週次 | 主題 |
|---|---|
| 第 1 週 | 1.1 Introduction to Systems of Linear Equations 1.2 Gaussian Elimination 2025-02-20(四) |
| 第 2 週 | 2.1 Operations with Matrices 2.2 Properties of Matrix Operations 2025-02-27(四) |
| 第 3 週 | 2.3 The Inverse of a Matrix2.4 Elementary Matrices 2025-03-06(四) |
| 第 4 週 | 3.1 The Determinant of a Matrix3.2 Evaluation of a Determinant Using Elementary Operations3.3 Properties of Determinants 2025-03-13(四) |
| 第 5 週 | 第一次期中考 (範圍:Chap 1-Chap 3)1st Mid Exam (Contents: Chap 1-Chap 3) 2025-03-20(四) |
| 第 6 週 | 4.1 Vectors in R^n4.2 Vector Spaces4.3 Subspaces of Vector Spaces 2025-03-27(四) |
| 第 7 週 | University activity week (no class) 2025-04-03(四) |
| 第 8 週 | 4.3 Subspaces of Vector Spaces4.4 Spanning Sets and Linear Independence4.5 Basis and Dimension 2025-04-10(四) |
| 第 9 週 | 4.6 Rank of a Matrix4.7 Coordinates and Change of Basis5.1 Length and Dot Product 2025-04-17(四) |
| 第 10 週 | 5.2 Inner Product Spaces5.3 Orthogonal Basis 2025-04-24(四) |
| 第 11 週 | 第二次期中考 (範圍:Chap 4-Chap 5)2nd Mid Exam (Contents: Chap 4-Chap 5) 2025-05-01(四) |
| 第 12 週 | 6.1 Introduction to Linear Transformation6.2 Kernel and Range 2025-05-08(四) |
| 第 13 週 | 6.3 Matrices for Linear Transformations6.4 Transition Matrices and Similarity 2025-05-15(四) |
| 第 14 週 | 7.1 Eigenvalues and Eigenvectors7.2 Diagonalization 2025-05-22(四) |
| 第 15 週 | 7.3 Symmetrical Matrices and Orthogonal Diagonalization 2025-05-29(四) |
| 第 16 週 | 期末考 (範圍:Chap 6-Chap 7)Final Exam (Contents: Chap 6-Chap 7) 2025-06-05(四) |
Ron Larson, Cengage, 8th Edition, 2015 (高立圖書).
- 地點
- 各授課教師另行公佈 (TBA)
- 時間
- 各授課教師另行公佈 (TBA)
- 聯絡方式
- 各授課教師另行公佈 (TBA)