| Date | Topic |
| Mon 8/30 | Introduction, vector spaces |
| Wed 9/1 | Vector spaces - proofs |
| Fri 9/3 | 1.1 Systems of linear equations |
| Mon 9/6 | 1.2 Matrices, row reduction |
| Wed 9/8 | 1.3 Solution sets, matrix algebra |
| Fri 9/10 | 2.1 Linear transformations |
| Mon 9/13 | 2.2 Geometry of linear transformations |
| Wed 9/15 | 2.3 Inverses, or lack thereof |
| Fri 9/17 | 2.4 Multiplying matrices |
| Mon 9/20 | 3.1 Kernels and images |
| Wed 9/22 | 3.2 Subspaces, bases, linear indepedence |
| Fri 9/24 | Proof day - proof by induction |
| Mon 9/27 | 3.3 Dimension |
| Wed 9/29 | 3.4 Coordinates |
| Thurs 9/30 | FIRST MIDTERM, 8-10 PM, SCI. 181 |
| Fri 10/1 | 4.1 Real vector spaces |
| Mon 10/4 | 4.2 Isomorphisms |
| Wed 10/6 | 4.3 Matrix of a transformation |
| Fri 10/8 | Proof day - proof by contradiction |
| Mon 10/11 | FALL BREAK |
| Wed 10/13 |
| Fri 10/15 |
| Mon 10/18 | Vector spaces over other fields |
| Wed 10/20 | Infinite-dimensional vector spaces |
| Fri 10/22 | 5.1 Orthogonality |
| Mon 10/25 | 5.2 More orthogonality, Gram-Schmidt |
| Wed 10/27 | 5.3 Orthogonal matrices |
| Fri 10/29 | 5.4 Least squares |
| Mon 11/1 | 5.5 Inner product spaces |
| Wed 11/3 | Infinite-dimensional inner product spaces |
| Fri 11/5 | 6.1 Determinants |
| Mon 11/8 | 6.2 More determinants |
| Wed 11/10 | 6.3 Still more determinants |
| Thurs 11/11 | SECOND MIDTERM, 8-10 PM, SCI. 181 |
| Fri 11/12 | Proof day - proof by double inclusion |
| Mon 11/15 | 7.1 Eigenvectors |
| Wed 11/17 | 7.2 Finding eigenvalues |
| Fri 11/19 | 7.3 Finding eigenvectors |
| Mon 11/22 | 7.4 Diagonalization |
| Wed 11/24 | Markov chains |
| Fri 11/26 | THANKSGIVING BREAK |
| Mon 11/29 | 7.5 Complex eigenvalues |
| Wed 12/1 | 8.1 Symmetric matrices |
| Fri 12/3 | 8.2 Quadratic forms |
| Mon 12/6 | Catch-up, review |
| Sat 12/11 | FINAL EXAM, 2-5 PM, SCI. 181 |
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