|
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 |