| Week | Lecture | Date | Section | Suggested Problems |
| 1 | 1 | August 24 | 1.1: Systems of Linear Equations | 8, 10, 12, 20, 22, 23, 24, 25, 30 |
| 2 | August 26 | 1.2: Row Reduction and Echelon Forms | 2, 4, 6, 12, 14, 21, 22, 24, 26, 33 | |
| 3 | August 28 | 1.3: Vector Equations | 6, 10, 12, 14, 18, 23, 24, 26, 28 | |
| 2 | 1 | August 31 | 1.4: The Matrix Equation Ax = b | 5, 7, 11, 13, 15, 17, 19, 21, 23, 24, 25, 31 |
| 5 | September 2 | 1.5: Solution Sets of Linear Systems Quiz 1 |
1, 3, 5, 9, 11, 17, 23, 24, 27, 28, 32, 37 | |
| 6 | September 4 | 1.6: Applications of Linear Systems | 1, 3, 5, 7, 11, 13 | |
| 3 | - | September 7 | Labor Day -- No Class | |
| 7 | September 9 | 1.7: Linear Independence Quiz 2 |
1, 5, 7, 11, 13, 15, 19, 21, 22, 27, 29, 37 | |
| 8 | September 11 | 1.8: Linear Transformations | 1, 3, 5. 9, 11, 19, 21, 22, 29, 33 | |
| 4 | 9 | September 14 | 1.9: Matrix of a Linear Transformation | 3, 7, 11, 15, 19, 23, 24, 25, 27 |
| 10 | September 16 | 2.1: Matrix Operations Quiz 3 |
1, 3, 5, 7, 9, 15, 16, | |
| 11 | September 18 | 2.2: Inverse of a Matrix | 1, 3, 5, 7, 9, 10, 13, 15, 23, 29, 31, 33 | |
| 5 | 12 | September 21 | 2.3: Characterization of Invertible Matrices | 1, 3, 5, 7, 11, 12, 15, 17, 19, 21 |
| 13 | September 23 | 2.5: Matrix Factorization Quiz 4 |
1, 3, 5, 7, 9, 11 | |
| 14 | September 25 | 3.1: Introduction to Determinants | 1, 3, 5, 7, 11, 13, 25, 27, 29 | |
| 6 | 15 | September 28 | 3.2: Properties of Determinants | 5, 7 9, 11 13, 17, 21, 25, 27, 28 |
| - | September 30 | Exam 1 | ||
| 16 | October 2 | 3.3: Cramer's Rule | 1, 3, 5, 7, 9, 11, 13, 19, 21, 23 | |
| 7 | 17 | October 5 | 4.1: Vector Spaces and Subspaces | 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 24 |
| 18 | October 7 | 4.2: Null Spaces, Column Spaces, and Linear Transformations Quiz 5 |
3, 5, 7, 9, 15, 21, 23, 25, 26, 31, 33 | |
| 19 | October 9 | 4.3: Linear Independence & Bases | 1, 3, 5, 9, 11, 15, 19, 21, 22, 23 | |
| 8 | 20 | October 12 | 4.4: Coodinate Systems | 1, 3, 5, 7, 9, 11, 13, 15, 16, 27, 29, 31 |
| 21 | October 14 | 4.5 Dimension of a Vector Space Quiz 6 |
1, 3, 5, 9, 11, 13, 15, 19, 20, 23 | |
| 22 | October 16 | 4.6 Rank | 1, 3, 5, 7, 9, 11, 13, 15, 17, 18, 19, 21 | |
| 9 | 23 | October 19 | 4.7: Change of Basis | 1, 3, 5, 7, 9, 11, 12, 13 |
| 24 | October 21 | 5.1: Eigenvectors and Eigenvalues Quiz 7 |
1, 3, 5, 7, 9, 11, 13, 15, 21, 22 | |
| 25 | October 23 | 5.2: The Characteristic Equation | 1, 3, 5, 9, 11, 13, 15, 17, 21, 22 | |
| 10 | 26 | October 26 | 5.3: Diagonalization | 1, 3, 5, 7, 9, 11, 13, 15, 21, 22 |
| 27 | October 28 | 5.4: Eigenvectors and Linear Transformations Quiz 8 |
1, 3, 5, 7, 11, 13, 15, 17, | |
| 28 | October 30 | 5.5 Complex Eigenvalues | 1, 3, 5, 13, 15, 17 | |
| 11 | 29 | November 2 | 4.9 Markov Chains | 1, 3, 5, 7, 9, 11, 13 |
| 30 | November 4 | 5.7 Applications to Differential Equations (Real Case) Quiz 9 |
1, 3, 5, 7 | |
| 31 | November 6 | 5.7 Applications to Differential Equations (Complex Case) | 9, 11, 13, 15 | |
| 12 | 32 | November 9 | Catch Up & Review | |
| - | November 11 | Exam 2 | ||
| 33 | November 13 | 6.1: Inner Product, Length, and Orthogonality | 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 20 | |
| 13 | 34 | November 16 | 6.2 Orthogonal Sets | 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 24 |
| 35 | November 18 | 6.3 Orthogonal Projections Quiz 10 |
3, 5, 7, 9, 11, 13, 15, 17, 21, 22 | |
| 36 | November 20 | 6.4 Gram-Schmidt | 1, 3, 5, 7, 9, 11, 17, 18 | |
| 14 | 37 | November 23 | 6.5 Least Squares | 1, 3, 5, 7, 9, 11, 13, 17, 18 |
| 38 | November 25 | 6.6 Applications to Linear Models Quiz 11 |
1, 2, 3, 4, 7, 9 | |
| - | November 27 | No Class | ||
| 15 | 39 | November 30 | 7.1 Diagonalization of Symmetric Matrices | 7, 9, 11, 13, 15, 17, 19, 23, 25, 26 |
| 40 | December 2 | 7.4 Singular Value Decomposition Quiz 12 |
1, 3, 5, 7, 9 , 11, 13 | |
| 41 | December 4 | Review for Final Exam |