| Lectures | Sections in Text | Brief Description |
|---|---|---|
| 3/25 | 1.1-1.2 | Linear Systems and Gaussian Elimination |
| 3/27 | 1.2-1.3 | Gaussian Elimination and Vector Geometry |
| 3/29 | 1.4-1.5 | General Fields and Vector Spaces |
| 4/1 | 2.1 | Linear Maps |
| 4/3 | 2.1 | Linear Maps and Matrices |
| 4/5 | 2.2 | More on Linear Maps |
| 4/8 | 2.3-2.4 | Matrix Multiplication, Row Operations and Invertibility |
| 4/10 | 2.4-2.5 | Range, Kernel, Eigenvalues |
| 4/12 | 3.1 | Linear (In)dependence |
| 4/15 | 3.1-3.2 | Linear (In)dependence, Bases |
| 4/17 | First Exam | In class part - takehome due Friday |
| 4/18 (x) | 3.2 | Bases |
| 4/19 | 3.3 | Dimension |
| 4/22 | 3.4 | Rank and Nullity |
| 4/24 | 3.4 | Rank and Nullity |
| 4/26 | 3.5 | Coordinates |
| 4/29 | 3.5-3.6 | Coordinates, Change of Basis |
| 5/1 | 3.6 | Change of Basis |
| 5/3 | 6.1-6.2 | Determinants |
| 5/6 | 6.3 | Characteristic Polynomials |
| 5/8 | Second Exam | In class part --- takehome due Friday |
| 5/9 (x) | 4.1 | Inner Products |
| 5/10 | 4.2 | Orthonormal Bases |
| 5/13 | 4.3 | Orthogonal Projections and Optimization |
| 5/15 | 4.5 | Isometries |
| 5/17 | 5.1 | Least Squares/Adjoints/Towards the spectral theorem |
| 5/20 | 5.2 | Spectral decomposition
Singular Value Decomposition of Matrices |
| 5/22 | 5.3 | Computing SVDs, Four Subspaces |
| 5/24 | 5.3 | Computing SVDs, Four Subspaces |
| 5/27 | Memorial Day Holiday | No classes |
| 5/29 | Wrap it up | |
| 5/31 | Final Exam | 3:00 - 6:00 pm |