TF 10:20am - 11:40am, TIL-257 (LIV)
| Lecture | Date | Section Covered |
| 1 | 09/02 | 1.1, 1.2 Systems of Linear Equations, Row Reduction, REF, RREF |
| 2 | 09/05 | 1.3, 1.4 Vector Equations, Matrix Equation AX = B |
| 3 | 09/09 | 1.5 Solution Sets of Linear Systems |
| 4 | 09/12 | 1.3 Span of a Set of Vectors |
| 5 | 09/16 | 1.7 Linear Dependence and Independence |
| 6 | 09/19 | 1.8 Linear transformations; Quiz 1 |
| 7 | 09/23 | 1.9 The Matrix of a Linear Transformation |
| 8 | 09/26 | 2.1, 2.2 Matrix Operations, Inverse of a Matrix |
| 9 | 09/30 | 2.3 Characterizations of Invertible Matrices |
| 10 | 10/03 | Review for Exam 1 |
| 11 | 10/07 | Exam 1 (in our class room) on material covered in Lectures 1-9 |
| 12 | 10/10 | 3.1 Introduction to Determinants |
| 13 | 10/14 | 3.2 Properties of Determinants |
| 14 | 10/17 | 2.8, 4.1 Vector Spaces and Subspaces |
| 15 | 10/21 | 2.9, 4.2 Null Spaces, Column Spaces, and Linear Transformations |
| 16 | 10/24 | 4.3 Linearly Independent Sets, Bases |
| 17 | 10/28 | 4.4.Coordinate Systems. Quiz 2 |
| 18 | 10/31 | 4.5, 4.6 The Dimension of a Vector Space, Change of a Basis |
| 19 | 11/04 | 5.1 Eigenvalues and Eigenvectors |
| 20 | 11/07 |
5.2, 5.5 The Characteristic Equation, Complex Eigenvalue. Review for Exam 2 |
| 21 | 11/11 | Exam 2 (in our class room) on material covered in Lectures 12-18 |
| 22 | 11/14 | 5.3 Diagonalization |
| 23 | 11/18 | 6.1, 6.2, 6.3 Orthogonality, Orthogonal Projections |
| 24 | 11/21 | 6.4 The Gram–Schmidt Process |
| 25 | 11/26 | 6.5 Least Squares Problems. Quiz 3 |
| 26 | 12/02 | 7.1 Diagonalization of Symmetric Matrices |
| 27 | 12/05 | 7.2, 7.4 Quadratic Forms, The Singular Value Decomposition |
| 28 | 12/09 | Review for the Final Exam |