| Lecture | Date | Section Covered |
| 1 | 09/06 | 1.1, 1.2 Matrices and Vectors |
| 2 | 09/09 | 1.3 Systems of Linear Equations |
| 3 | 09/13 | 1.4 Gaussian Elimination |
| 4 | 09/16 | 1.6 Span of a Set of Vectors |
| 5 | 09/20 | 1.7 Linear Dependence and Linear Independence |
| 6 | 09/23 | 1.7, 2.1 Homogeneous Systems, Matrix Multiplication |
| 7 | 09/27 | 2.1 Matrix Algebra; Quiz 1 |
| 8 | 09/30 | 2.3, Appendix E Invertibility and Elementary Matrices, Uniqueness of RREF |
| 9 | 10/04 | 2.4 Inverse of a Matrix |
| 10 | 10/07 | 2.6 LU Decomposition of a Matrix; Review for the exam |
| 11 | 10/11 | Midterm Exam 1 |
| 12 | 10/14 | 3.1 Determinants; Cofactor Expansions |
| 13 | 10/18 | 3.2 Properties of Determinants |
| 14 | 10/21 | 4.1 Subspaces |
| 15 | 10/25 | 4.2 Basis and Dimension |
| 16 | 10/28 | 4.3 Column Space and Null Space of a Matrix |
| 17 | 11/01 | 5.1 Eigenvalues and Eigenvectors; Quiz 2 |
| 18 | 11/04 | 5.2 Characteristic Polynomial |
| 19 | 11/08 | 5.3 Diagonalization of a Matrix |
| 20 | 11/11 | 5.5 Applications of Eigenvalues; Review for the exam |
| 21 | 11/15 | Midterm Exam 2 |
| 22 | 11/18 | 6.1 Geometry of Vectors; Projection onto a Line |
| 23 | 11/23 | 6.2 Orthogonal Sets of Vectors; Gram - Schmidt Process; QR factorization |
| 24 | 11/29 | 6.3 Orthogonal Projection; Othogonal Complements |
| 25 | 12/02 | 6.4 , 6.5 Least Squares, Normal Equations, Orthogonal Matrices |
| 26 | 12/06 | 6.6 Diagonalization of Symmetric Matrices Quiz 3 |
| 27 | 12/09 | 6.6 Spectral Decomposition for Symmetric Matrices, Diagonalization of Quadratic Forms |
| 28 | 12/13 | Review for the Final Exam |