| WEEK | DATES | TESTS | SECTIONS | TOPICS |
| 1 | Jan.6-10 | ~ | 1.1-1.2 | Systems of linear equations. Elementary row operations. Echelon forms. Row reduction. Parametric descriptions of solution sets. | 2 | Jan.13-17 | ~ | 1.2-1.3 | Existence and uniqueness questions. Vector equations. Linear combinations. Spans. |
| 3 | Jan.20-24 | TEST 1 | 1.4-1.5 | The matrix equation Ax = b. Existence of solutions. Solution sets of linear systems. Homogeneous and nonhomogeneous systems. |
| 4 | Jan.27-31 | ~ | 1.7-1.8 | Linear independence. Introduction to linear transformations. |
| 5 | Feb.3-7 | TEST 2 | 1.9, 1.6, 1.10 | The matrix of a linear transformation. "One-to-one" and "Onto" Mappings. Linear applications: network flow, electrical circuits, differential equations. |
| 6 | Feb.10-14 | ~ | 2.1-2.2 | Matrix operations. Inverse of a matrix. |
| ~ | Feb.17-21 | ~ | WINTER BREAK | NO CLASSES THIS WEEK |
| 7 | Feb.24-28 | ~ | 2.3; 3.1-3.2 | The invertable matrix theorem. Determinants. |
| 8 | Mar.3-7 | Test 3 | 3.3, 2.8, 2.9 | Cramer's rule. Subspaces. Dimension and rank. |
| 9 | Mar.10-14 | ~ | 5.1-5.3 | Eigenvectors and eigenvalues. Characteristic equation. Diagonalization. |
| 10 | Mar.17-21 | TEST 4 | Appendix B 5.5 |
Complex numbers. Complex eigenvalues. |
| 11 | Mar.24-28 | ~ | 6.1-6.2 | Inner product. Orthogonal sets. |
| 12 | Mar.31-Apr.4 | ~ | 6.3 | Orthogonal projections. Review of course. |