| Date | Sections | Topics |
|---|---|---|
| 1/20 | 1.1, 1.2 | Matrices, vectors, and linear combinations |
| 1/25 | 1.3 | Systems of linear equations |
| 1/27 | 1.4 | Gaussian elimination |
| 2/01 | 1.6 | Span of a set of vectors MATLAB Lab 1 due |
| 2/03 | 1.7 | Linear dependence and linear independence |
| 2/08 | 1.7,2.1 | Homogeneous systems, matrix multiplication |
| 2/10 | 2.1 | Matrix algebra |
| 2/15 | 2.3 Appendix E |
Invertibility and elementary matrices Uniqueness of the reduced row echelon form MATLAB Lab 2 due |
| 2/17 | 2.4,2.5 | Inverse of a matrix, partitioned matrices |
| 2/22 | 2.6 | LU decomposition |
| 2/24 | EXAM 1 | All material covered through lecture of 2/17 |
| 3/01 | 3.1 | Determinants; cofactor expansions |
| 3/03 | 3.2 | Properties of determinants |
| 3/08 | 4.1 | Subspaces; column, row, and null spaces of a matrix MATLAB Lab 3 due |
| 3/10 | 4.2 | Bases and dimension |
| 3/22 | 4.3 | Bases and dimensions of column, row, and null spaces |
| 3/24 | 5.1 | Eigenvalues and eigenvectors |
| 3/29 | 5.2 | Characteristic polynomial MATLAB Lab 4 due |
| 3/31 | 5.3 | Diagonalization of a matrix |
| 4/05 | 5.5 | Examples of diagonalization |
| 4/07 | EXAM 2 | All material covered through lecture of 4/05 |
| 4/12 | 6.1 | Geometry of vectors; projections MATLAB Lab 5 due |
| 4/14 | 6.2 | Orthogonal sets of vectors; Gram-Schmidt process; QR factorization |
| 4/19 | 6.3 | Orthogonal projection; orthogonal complements |
| 4/21 | 6.4 | Least squares; normal equations |
| 4/26 | 6.5,6.6 | Orthogonal matrices; diagonalization of symmetric matrices |
| 4/28 | 6.6 | Spectral decomposition for symmetric matrices; diagonalization of quadratic forms |
| 5/03 | Catch-up and review MATLAB Lab 6 due |
|
| 5/12 | FINAL EXAM | 12:00 P.M.--3:00 P.M., Room to be announced |