線性代數
Linear Algebra
| 節 | 週四 | 週五 |
|---|---|---|
2 09:00–09:50 | 線性代數 AB102（光復） | |
5 13:20–14:10 | 線性代數 AB102（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.學期作業、考試、評量 ●小考與出席(20%):各班老師自行決定考試時間、考題、評分方法 ●第一次考試(25%): Chap 1- Chap 3(各班自行擇期出題考試) ●第二次考試(25%): Chap 4 - Chap 5 (各班自行擇期出題考試) ●第三次考試(30%): Chap 1 - Chap 7 (三班共同考試,考試範圍Chap 1- Chap 7)(考試時間:106/6/21 CD) ●共同考試題庫:Chap 1-Chap 5(出6題,從公布的題庫中選出),Chap 6-Chap7(出4題,不提供題庫) 2. 各班的學期平均成績必須調整為78分
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：
- 5
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. Coordinates and Change of Basis
- 講授：
- 11
Inner Product Spaces
1. Length and Dot Product 2. Inner Product Spaces 3. Orthogonal Basis 4. Least Square Analysis
- 講授：
- 11
Linear Transformations
1. Introduction to Linear Transformation 2. Kernel and Range 3. Matrices for Linear Transformations 4. Transition Matrices and Similarity
- 講授：
- 7
Eigenvalues and Eigenvectors
1. Eigenvalues and Eigenvectors 2. Diagonalization 3. Symmetrical Matrices and Orthogonal Diagonalization
- 講授：
- 7
| 週次 | 主題 |
|---|---|
| 第 1 週 | 1.1 Introduction to Systems of Linear Equations; 1.2 Gaussian Elimination 1.3 Applications of Systems of Linear Equations 2/22 2/23 |
| 第 2 週 | 2.1 Operations with Matrices; 2.2 Properties of Matrix Operations; 2.3 The Inverse of a Matrix 3/1 3/2 |
| 第 3 週 | 2.4 Elementary Matrices; 2.5 Markov Chains 2.6 Applications of Matrix Operations 3.1 The Determinant of a Matrix 3/8 3/9 |
| 第 4 週 | 3.2 Evaluation of a Determinant Using Elementary Operations 3.3 Properties of Determinants; 3.4 Applications of Determinants; 3/15 3/16 |
| 第 5 週 | 4.1 Vectors in Rn; 4.2 Vector Spaces; 4.3 Subspaces of Vector Spaces; 4.4 Spanning Sets and Linear Independence; 3/22 3/23 |
| 第 6 週 | Exam I (Chap 1-Chap 3) 4.5 Basis and Dimension; 3/29 3/30 |
| 第 7 週 | 春假 4/5 4/6 |
| 第 8 週 | 4.6 Rank of a Matrix; 4.7 Coordinates and Change of Basis 4.8 Applications of Vector Spaces 4/12 4/13 |
| 第 9 週 | 5.1 Length and Dot Product; 5.2 Inner Product Spaces 5.3 Orthogonal Basis 4/19 4/20 |
| 第 10 週 | 5.4 Least Square Analysis 4/26 4/27 |
| 第 11 週 | 5.5 Applications of Inner Product; 6.1 Introduction to Linear Transformation 5/3 5/4 |
| 第 12 週 | Examination II (Chap 4-Chap5); 6.2 Kernel and Range; 5/10 5/11 |
| 第 13 週 | 6.3 Matrices for Linear Transformations; 6.4 Transition Matrices and Similarity 5/17 5/18 |
| 第 14 週 | 6.4 Transition Matrices and Similarity; 6.5 Applications of Linear Transformations; 5/24 5/25 |
| 第 15 週 | 7.1 Eigenvalues and Eigenvectors; 7.2 Diagonalization 5/31 6/1 |
| 第 16 週 | 7.3 Symmetrical Matrices and Orthogonal Diagonalization; 6/7 6/8 |
| 第 17 週 | 7.4 Applications of Eigenvalues & Eigenvectors 6/14 6/15 |
| 第 18 週 | 6/21 Examination 3 (Chap 1 - Chap 7) ●Chap 1-Chap 5(出6題,從公布的題庫中選出) ●Chap 6-Chap7(出4題,不提供題庫) 6/22 學期成績公布 6/21 6/22 |
R. Larson, B.H. Edwards and D.C. Falvo, Elementary Linear Algebra, Cengage, 8th Edition, 2015 (高立圖書).
- 地點
- 各教師另行公布
- 時間
- 各教師另行公布
- 聯絡方式
- 各教師另行公布