| Week | Lecture | Date | Section | Suggested Problems |
| 1 | 1 | January 11 | 1.1: Systems of Linear Equations | 1, 3, 7, 9, 11, 13, 19, 21, 23, 24 |
| 2 | January 13 | 1.2: Row Reduction and Echelon Forms | 1, 3, 7, 9, 11, 13, 17, 21, 22 | |
| 3 | January 15 | 1.3: Vector Equations | 1, 5, 9, 11, 13, 15, 17, 23, 24 | |
| 2 | - | January 18 | No Class | |
| 4 | January 20 | 1.4: The Matrix Equation Ax=b | 5, 7, 11, 13, 15, 17, 19, 21, 23, 24, 25, 31 | |
| 5 | January 22 | 1.5: Solution Sets of Linear Systems Quiz 1 |
1, 3, 5, 9, 11, 17, 23, 24, 27, 28, 32, 37 | |
| 3 | 6 | January 25 | 1.7: Linear Independence | 1, 5, 7, 11, 13, 15, 19, 21, 22, 27, 29, 37 |
| 7 | January 27 | 1.8: Linear Transformations | 1, 3, 5. 9, 11, 19, 21, 22, 29, 33 | |
| 8 | January 29 | 1.9: Matrix of a Linear Transformation Quiz 2 |
3, 7, 11, 15, 19, 23, 24, 25, 27 | |
| 4 | 9 | February 1 | 2.1: Matrix Operations | 1, 3, 5, 7, 9, 15, 16 |
| 10 | February 3 | 2.2: Inverse of a Matrix | 1, 3, 5, 7, 9, 10, 13, 15, 23, 29, 31, 33 | |
| 11 | February 5 | 2.3: Characterization of Invertible Matrices Quiz 3 |
1, 3, 5, 7, 11, 12, 15, 17, 19, 21 | |
| 5 | 12 | February 8 | 2.5: Matrix Factorization | 1, 3, 5, 7, 9, 11 |
| 13 | February 10 | 3.1: Introduction to Determinants | 1, 3, 5, 7, 11, 13, 25, 27, 29 | |
| 14 | February 12 | 3.2: Properties of Determinants Quiz 4 |
5, 7, 9, 11 13, 17, 21, 25, 27, 28 | |
| 6 | 15 | February 15 | 3.3: Cramer's Rule | 1, 3, 5, 7, 9, 19, 21, 23 |
| 16 | February 17 | Review for Exam 1 | ||
| - | February 19 | Exam 1 | ||
| 7 | 17 | February 22 | 4.1: Vector Spaces and Subspaces | 1, 3, 5, 7, 9, 11, 13, 15, 17, 21 |
| 18 | February 24 | 4.2: Nullspace, Column Space, Linear Transformations | 3, 5, 7, 9, 15, 17, 19, 23 | |
| 19 | February 26 | 4.3: Linear Independence and Bases Quiz 5 |
1, 3, 5, 9, 11, 13, 15 | |
| 8 | 20 | February 29 | 4.4: Coordinate Systems | 1, 3, 7, 9, 11, 13, 27, 29, 31 |
| 21 | March 2 | 4.5: Dimension | 1, 3, 5, 7, 9, 11, 13, 15, 21, 23 | |
| 22 | March 4 | 4.6: Rank Quiz 6 |
1, 3, 5, 7, 9, 11, 13, 15 | |
| 9 | 23 | March 7 | 4.7: Change of Basis | 1, 3, 5, 7, 9, 13, 14 |
| 24 | March 9 | 5.1: Eigenvalues and Eigenvectors | 1, 3, 5, 7, 9, 11, 13, 15 | |
| 25 | March 11 | 5.2: The Characteristic Polynomial Quiz 7 |
1, 3, 5, 7, 9, 11, 13, 15, 17 | |
| 10 | 26 | March 14 | 5.3: Diagonalization | 1, 5, 7, 9, 11, 13, 15, 17 |
| 27 | March 16 | 5.4: Eigenvalues and Linear Transformations | 1, 3, 5, 7, 9, 11, 13, 15, 17 | |
| 28 | March 18 | 5.5: Complex Eigenvalues Quiz 8 |
1, 3, 5, 13, 15, 17, 19 | |
| 9 | 29 | March 28 | 4.9: Markov Chains | 1, 3, 5, 7, 9, 11, 13 |
| 30 | March 30 | 5.7: Differential Equations (Real Case) | 1, 3, 5, 7 | |
| 32 | April 1 | 5.7: Differential Equations (Complex Case) Quiz 9 |
9, 11, 13 | |
| 12 | 32 | April 4 | 6.1: Dot Products | 1, 3, 5, 7 , 9 , 11, 13, 15, 17, 23, 25 |
| 33 | April 6 | Review for Exam 2 | ||
| - | April 8 | Exam 2 | ||
| 13 | 34 | April 11 | 6.2 Orthogonal Sets | 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21 |
| 35 | April 13 | 6.3 Orthogonal Projections | 3, 5, 7, 9, 11, 13, 15, 17 | |
| 36 | April 15 | 6.4 Gram-Schmidt Quiz 10 |
1, 3, 5, 7, 9, 11 | |
| 14 | 37 | April 18 | 6.5 Least Squares | 1, 3, 5, 7, 9, 11, 13, 17, 18 |
| 38 | April 20 | 6.6 Applications to Linear Models | 1, 2, 3, 4, 7, 9 | |
| 39 | April 22 | 7.1 Diagonalization of Symmetric Matrices Quiz 11 |
7, 9, 11, 13, 15, 17, 19, 23 | |
| 15 | 40 | April 25 | 7.4: The Singular Value Decomposition | 1, 3, 5, 7, 9, 11 |
| 41 | April 27 | Review | ||
| 42 | April 29 | Quiz 12 |