| Lecture | Date | Section Covered |
| 1 | 05/31 | 1.1, 1.2 Matrices and Vectors |
| 2 | 06/01 | 1.3 Systems of Linear Equations 1.4 Gaussian Elimination |
| 3 | 06/02 | 1.6 Span of a Set of Vectors 1.7 Linear Dependence and Linear Independence |
| 4 | 06/06 | 2.1 Matrix Multiplication; Quiz 1 |
| 5 | 06/07 | 2.3, Appendix E Invertibility and Elementary Matrices, Uniqueness of RREF |
| 6 | 06/08 | 2.4 Inverse of a Matrix |
| 7 | 06/09 | 2.6 LU Decomposition of a Matrix; Review for the exam |
| 8 | 06/13 | Midterm Exam 1 |
| 9 | 06/14 | 3.1 Determinants; Cofactor Expansions |
| 10 | 06/15 | 3.2 Properties of Determinants |
| 11 | 06/16 | 4.1 Subspaces 4.2 Basis and Dimension, 4.3 Subspaces associated with a matrix |
| 12 | 06/20 | 5.1 Eigenvalues and Eigenvectors; Quiz 2 |
| 13 | 06/21 | 5.2 Characteristic Polynomial |
| 14 | 06/22 | 5.3 Diagonalization of a Matrix 5.5 Applications of Diagonalization; Review for the exam |
| 15 | 06/23 | Midterm Exam 2 |
| 16 | 06/27 | 6.1 Geometry of Vectors; Projection onto a Line |
| 17 | 06/28 | 6.2 Orthogonal Sets of Vectors; Gram - Schmidt Process; QR factorization |
| 18 | 06/29 | 6.3 Orthogonal Projection; Othogonal Complements |
| 19 | 06/30 | 6.4 , 6.5 Least Squares, Normal Equations, Orthogonal Matrices; Quiz 3 |
| 20 | 07/05 | 6.6 Diagonalization of Symmetric Matrices, Quadratic forms |
| 21 | 07/06 | Catch up and Review for the Final Exam |
| 22 | 07/07 | Final Exam |