SYLLABUS
Tentative Syllabus
| Date | Sections in Text | Brief Description | |
| 3/29 | Mathematical Induction and Basic Set Theory | ||
| 3/31 | 1.2 | Fields and Vector Spaces | |
| 4/2 | 1.2, 1.3 | Vector Spaces and Subspaces | |
| 4/5 | 1.3, 1.4 | Subspaces and Linear Combinations | |
| 4/7 | 1.4 | Linear Combinations | |
| 4/9 | 1.5, 1.6 | Linear dependence, independence, and bases | |
| 4/12 | 1.6 | Bases and dimension | |
| 4/14 | 1.6 | Bases and dimension | |
| 4/16 | 2.1 | Linear Transformations | |
| 4/19 | 2.1 | Nullspace and Range | |
| 4/21 | 2.1 | Rank and Nullity | |
| 4/23 | 2.2 | Matrix repensentations of a linear map | |
| 4/26 | 2.2, 2.3 | Matrix repensentations of linear transformations | |
| 4/28 | 2.3, 2.4 | Matrix representations and compositions | |
| 4/30 | 2.4 | Invertibility and Isomorphism | |
| 5/3 | 2.4 | Invertibility and Isomorphism | |
| 5/5 | 3.1, 3.2 | Elementary matrices and rank of matrices | |
| 5/7 | 3.1 - 3.4 | Systems of equations, Elementary matrices | |
| 5/10 | 2.5 | Change of Basis | |
| 5/12 | 4.2 - 4.4 | An Overview of Determinants | |
| 5/14 | 5.1 | Eigenvalues and Eigenvectors | |
| 5/17 | 5.1 | Eigenvalues and Eigenvectors | |
| 5/19 | 5.2 | Diagonalizability | |
| 5/21 | 5.2 | Diagonalizability | |
| 5/24 | 5.2 | Diagonalizability | |
| 5/26 | 6.1 | Inner Product Spaces | |
| 5/28 | 6.2 | Gram-Schmidt Orthogonalization | |
| 6/2 | 6.7 | Introduction to Quadratic forms |