TTh 7:30-8:50pm, SEC-202 (BUS)
| Lecture | Date | Section Covered |
| 1 | 01/21 | 1.1, 1.2 Systems of Linear Equations, Row Reduction, REF, RREF |
| 2 | 01/23 | 1.3, 1.4 Vector Equations, Matrix Equation AX = B |
| 3 | 01/28 | 1.5 Solution Sets of Linear Systems |
| 4 | 01/30 | 1.6 Span of a Set of Vectors |
| 5 | 02/04 | 1.7 Linear Dependence and Independe |
| 6 | 02/06 | 1.8 Linear transformations; Quiz 1 |
| 7 | 02/11 | 1.9 The Matrix of a Linear Transformation |
| 8 | 02/13 | 2.1, 2.2 Matrix Operations, Inverse of a Matrix |
| 9 | 02/18 | 2.3 Characterizations of Invertible Matrices |
| 10 | 02/20 | Review for Exam 1 |
| 11 | 02/25 | Exam 1 (in our class room) on material covered in Lectures 1-9 |
| 12 | 02/27 | 3.1 Introduction to Determinants |
| 13 | 03/04 | 3.2 Properties of Determinants |
| 14 | 03/06 | 4.1 Vector Spaces and Subspaces |
| 15 | 03/11 | 4.2 Null Spaces, Column Spaces, and Linear Transformations |
| 16 | 03/13 | 4.3 Linearly Independent Sets, Bases |
| 17 | 03/25 | 4.4.Coordinate Systems. Quiz 2 |
| 18 | 03/27 | 4.5, 4.6 The Dimension of a Vector Space, Change of a Basis |
| 19 | 04/01 | 5.1 Eigenvalues and Eigenvectors |
| 20 | 04/03 |
5.2, 5.5 The Characteristic Equation, Complex Eigenvalue. Review for Exam 2 |
| 21 | 04/08 | Exam 2 (in our class room) on material covered in Lectures 12-18 |
| 22 | 04/10 | 6.1, 6.2 Inner Product (including Hermitian), Length, and Orthogonality, Orthogonal Sets |
| 23 | 04/15 | 6.3 Orthogonal Projections |
| 24 | 04/17 | 6.4 The Gram–Schmidt Process |
| 25 | 04/22 | 6.5 Least Squares, Problems. Quiz 3 |
| 26 | 04/24 | 7.1 Diagonalization of Symmetric Matrices |
| 27 | 04/29 | 7.2, 7.4 Quadratic Forms, The Singular Value Decomposition |
| 28 | 05/01 | Review for the Final Exam |