| Day | Lectures | Sections in Text | Brief Description |
| 1 | Fri June 24 | 1.1 | Systems of linear equations |
| 2 | Mon June 27 | 1.2 | Row reduction and echelon forms |
| 3 | Wed June 29 | 1.3 1.4 | Vector equations, The matrix equation Ax=b |
| 4 | Fri July 1 | 1.4 1.5 | The matrix equation Ax=b, Solution sets of linear systems |
| 5 | Mon July 4 | | College Holiday, no classes held |
| 6 | Wed July 6 | 1.7 | Linear independence |
| 7 | Fri July 8 | 1.8 | Introduction to linear transofrmations (from R^n to R^m) |
| 8 | Mon July 11 | 1.9 | The matrix of a linear transformation (from R^n to R^m) |
| 9 | Wed July 13 | 2.1 | Matrix operations |
| 10 | Fri July 15 | 2.2 | The inverse of a matrix |
| 11 | Mon July 18 | 2.3 | Characterizations of invertible matrices |
| 12 | Wed July 20 | 4.1 4.2 | Vector spaces and subspaces, Null spaces, column spaces, and (general) linear transformations |
| 13 | Fri July 22 | 4.3 | Linearly independent sets; bases |
| 14 | Mon July 25 | 4.4 | Coordinate systems |
| 15 | Wed July 27 | 4.5 | The dimension of a vector space |
| 16 | Fri July 29 | 4.6 | Rank |
| 17 | Mon August 1 | 4.7 5.4 | Change of basis, The matrix of a (general) linear transformation |
| 18 | Wed August 3 | 4.9 | Applications to Markov chains |
| 19 | Fri August 5 | 3.1 | Determinants |
| 20 | Mon August 8 | 3.2 | Properties of determinants |
| 21 | Wed August 10 | 5.1 5.2 | Eigenvectors and eigenvalues, The characteristric equation |
| 22 | Fri August 12 | 5.2 5.3 | The characteristric equation, Diagonalization |
| 23 | Mon August 15 | 5.3 5.4 | Diagonalization, Eigenvectors and linear transformations |
| 24 | Wed August 17 | 6.1 6.2 | Inner products, length and orthogonality, Orthogonal sets |
| 25 | Fri August 19 | 6.3 6.4 | Orthogonal Projection, The Gram-Schmidt process |
| 26 | Mon August 22 | 6.5 6.8 | Least-Squares Problems, Applications of Inner product spaces |
| 27 | Wed August 24 | 7.4 | The Singular Value Decomposition |