課程資訊

Engineering Mathematics-linear Algebra

111-1

EE1002

901 10030

02

3.0

1. Matrices, Vectors and Systems of Linear Equations

2. Matrices and Linear Transformations

3. Determinants

4. Subspaces and Their Properties

5. Eigenvalues, Eigenvectors and Diagonalization

6. Orthogonality

7. Vector Spaces

Basic knowledge of mathematical expressions of sets and functions.

Office Hours

Textbook： Elementary Linear Algebra - A Matrix Approach, 2nd Ed

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 35% 四班共同出題 共同評分 2. 期末考 35% 四班共同出題 共同評分 3. 平時成績 30%

 課程進度
 週次 日期 單元主題 第1週 9/7 (W) Introduction (1.1) Matrices and Vectors 第2週 9/16 (1.2) Linear Combinations and Matrix-Vector Products (1.3) Systems of Linear Equations (1.4) Gaussian Elimination 第3週 9/23 (1.6) Span of a Set of Vectors (1.7) Linear Dependence and Linear Independence 第4週 9/30 (2.1) Matrix Multiplication (2.3) Invertibility and Elementary Matrices (2.4) Properties of Matrix Inverses 第5週 10/7 (2.7) Linear Transformations (2.8) Linear Transformation – Composition, Invertibility (3.1) Cofactor Expansion 第6週 10/14 (3.2) Properties of Determinants (4.1) Subspaces (4.2) Basis and Dimension 第7週 10/21 (4.3) The Dimension of Subspaces Associated with A Matrix (4.4) Coordinate Systems (4.5) Matrix Representations of Linear Operators 第8週 10/28 Midterm Exam 第9週 11/4 (5.1) Eigenvalues and Eigenvectors (5.2) Characteristic Polynomials (5.3) Diagonalization (6.1) The Geometry of Vectors 第10週 11/11 (6.2) Orthogonal Set (6.3) Orthogonal Projections (6.4) Least-Sq. Approx. and Orthogonal Proj. Matrices 第11週 11/18 (6.5) Orthogonal Matrices and Operators (6.6) Symmetric Matrices 第12週 11/25 (7.1) Vector Spaces (7.2) Linear Transformations 第13週 11/30 (W) (7.3) Basis and Dimension 第14週 12/9 (7.4) Matrix Representations of Linear Operators 第15週 12/16 (7.5) Inner Product Spaces 第16週 12/23 Final Exam