| WEEK | DATES | TESTS | SECTIONS | TOPICS |
| 1 | Jan.3-5 | ~ | 1.1-1.2 | Systems of Linear equations. Elementary row operations. Echelon forms. | 2 | Jan.8-12 | ~ | 1.3-1.5 | Vector equations. Solutions of linear systems. |
| 3 | Jan.15-19 | ~ | 1.6-1.7 | Linear dependence and independence. Linear transformations. |
| 4 | Jan.22-26 | TEST 1 | 1.8 | The matrix of a linear transformation. |
| 5 | Jan.29-Feb.2 | ~ | 2.1-2.2 | Matrix operations. The inverse of a matrix. |
| 6 | Feb.5-9 | ~ | 2.3, 3.1-3.2 | The invertible matrix theorem. Determinants. Properties of determinants. |
| 7 | Feb.12-16 | TEST 2 | 3.3, 2.9 | Cramer's rule. Subspaces of Rn. Column space and null space of a matrix. Bases. |
| ~ | Feb.19-23 | WINTER | BREAK | NO CLASSES THIS WEEK |
| 8 | Feb.26-Mar.2 | ~ | 2.9; 5.1 | Dimension. Rank. Eigenvalues and eigenvectors. |
| 9 | Mar.5-9 | TEST 3 | 5.2-5.3 | Characteristic equation. Diagonalization. |
| 10 | Mar.12-16 | ~ | Appendix B 5.5 |
Complex numbers. Complex eigenvalues. |
| 11 | Mar.19-23 | TEST 4 | 6.1-6.2 | Inner product. Orthogonal sets. |
| 12 | Mar.26-30 | ~ | 6.3 | Orthogonal projections. Sample final exams. |
| 13 | April 2 | ~ | ~ | Review of course. Sample final exams. |