| Week | Monday | Tuesday (Lab) | Thursday |
|---|---|---|---|
| 1 (Jan 3-7) | Solving a system of linear equations, reduced row echelon form (1.1, 1.2) | Vector equations and matrix form (1.3, 1.4) | Homogeneous Systems (1.5), Linear Independence (1.7) |
| 2 (Jan 10-14) | More on Linear Independence (1.7), Introduction to Linear Transformation (1.8) | Lab 1 | The Matrix of Linear Transformation (1.9), Matrix Algebra (2.1) |
| 3 (Jan 17-21) | University Holiday | Lab 2 | Inverse of a Matrix (2.2) |
| 4 (Jan 24-28) | Inverse of a Matrix (2.2, 2.3), Partitioned Matrices (2.4), Matrix Factorizations (2.5) | Lab 3 | Subspaces of R^n (2.8) |
| 5 (Jan 31-Feb 4) | Dimension and Rank (2.9), Determinants (3.1) | Test 1 | Properties and interpretations of determinants (3.2-3.3) |
| 6 (Feb 7-11) | Introduction to Vector Space (4.1, 4.2) | Lab 4 | Linear Independence, Bases, Coordinate Mapping (4.3, 4.4) |
| 7 (Feb 14-18) | Dimension (4.5), Change of Basis (4.7) | Lab 5 | Eigenvalues, Diagonalization (5.1, 5.2, 5.3) |
| 8 (Feb 21-25) | Diagonalization (5.3), Inner Product Space (6.7, 6.1) | Lab 6 | Orthogonal Sets (6.1) |
| 9 (Feb 28-Mar 4) | Orthogonal Sets (6.2) | Test 2 | Orthogonal Projection, Gram Schmidt Process (6.3-6.4) |
| 10 (Mar 7-11) | Least-Squares (6.5) | Lab 7 | Cauchy-Schwarz Inequality, Triangle Inequality (6.7), Complex Inner Product (handout), Introduction to Coding Theory |
| 11 (Mar 14-14) | Review | no class | no class |