Syllabus and General Information
| Lecture | Date | Section Covered |
| 1 | 05/28 | 1.1, 1.2 Matrices and Vectors |
| 2 | 05/29 | 1.3 Systems of Linear Equations
1.4 Gaussian Elimination |
| 3 | 05/30 | 1.6 Span of a Set of Vectors
1.7 Linear Dependence and Linear Independence |
| 4 | 06/03 | 2.1 Matrix Multiplication; Quiz 1 |
| 5 | 06/04 | 2.3, Appendix E Invertibility and Elementary Matrices, Uniqueness of RREF |
| 6 | 06/05 | 2.4 Inverse of a Matrix |
| 7 | 06/06 | 2.6 LU Decomposition of a Matrix; Review for the exam |
| 8 | 06/10 | Midterm Exam 1 (on material covered in Lectures 1-6) |
| 9 | 06/11 | 3.1 Determinants; Cofactor Expansions |
| 10 | 06/12 | 3.2 Properties of Determinants |
| 11 | 06/13 | 4.1 Subspaces
4.2 Basis and Dimension, 4.3 Subspaces associated with a matrix |
| 12 | 06/17 | 5.1 Eigenvalues and Eigenvectors; Quiz 2 |
| 13 | 06/18 | 5.2 Characteristic Polynomial |
| 14 | 06/19 | 5.3 Diagonalization of a Matrix
5.5 Applications of Diagonalization; Review for the exam |
| 15 | 06/20 | Midterm Exam 2 (on material covered in Lectures 7, 9-13) |
| 16 | 06/24 | 6.1 Geometry of Vectors; Projection onto a Line |
| 17 | 06/25 | 6.2 Orthogonal Sets of Vectors; Gram - Schmidt Process; QR factorization |
| 18 | 06/26 | 6.3 Orthogonal Projection; Othogonal Complements |
| 19 | 06/27 | 6.4
Least Squares 6.5 Normal Equations, Orthogonal Matrices; Quiz 3 |
| 20 | 07/01 |
6.6 Diagonalization of Symmetric Matrices, Quadratic forms Spectral Decomposition for Symmetric Matrices |
| 21 | 07/02 | Catch up and Review for the Final Exam |
| 22 | 07/03 | Final Exam (cumulative, 180 min) |