| 週次 |
授課內容 |
| 第1週 |
Introduction to Vectors |
| 第2週 |
Vectors and Linear Combinations、Lengths and Dot Products |
| 第3週 |
Matrices |
| 第4週 |
Solving Linear Equations：Vectors and Linear Equations |
| 第5週 |
Solving Linear Equations：The Idea of Elimination、Elimination Using Matrices |
| 第6週 |
Solving Linear Equations：Rules for Matrix Operations、Inverse Matrices |
| 第7週 |
Solving Linear Equations：Elimination = Factorization: A = LU、Transposes and Permutations |
| 第8週 |
Vector Spaces and Subspaces：Spaces of Vectors、The Nullspace of A: Solving Ax= 0 and Rx 0 |
| 第9週 |
Mid Exam |
| 第10週 |
Vector Spaces and Subspaces：The Complete Solution to Ax = b。Independence, Basis and Dimension、Dimensions of the Four Subspaces |
| 第11週 |
Determinants：The Properties of Determinants
|
| 第12週 |
Determinants：Permutations and Cofactors |
| 第13週 |
Determinants：Cramer’s Rule, Inverses, and Volumes |
| 第14週 |
Eigenvalues and Eigenvectors：Introduction to Eigenvalues、Diagonalizing a Matrix |
| 第15週 |
Eigenvalues and Eigenvectors：Systems of Differential Equations、Symmetric Matrices |
| 第16週 |
Final Exam |
| 第17週 |
Self-Direction Learning： Image Processing by Linear Algebra |
| 第18週 |
Self-Direction Learning： Image Processing by Linear Algebra |