| Class | Date | Topic | Section(s) |
| 1 | W 1/27 | Introduction: model problems. | |
| 2 | M 2/1 | Linear algebra review. Vector norms. | 2.1, 2.2 |
| 3 | W 2/3 | Matrix norms. | 2.3 |
| M 2/8 | UMBC closed | ||
| W 2/10 | UMBC closed | ||
| 4 | M 2/15 | Finite precision matrix computations. | 2.4 |
| 5 | W 2/17 | The singular value decomposition (SVD). | 2.5 |
| 6 | M 2/22 | The SVD (contd.). Sensitivity of square linear systems. | 2.5, 2.7 |
| 7 | W 2/24 | Triangular systems and the LU factorization. | 3.1, 3.2 |
| 8 | M 3/1 | Round-off analysis in Gaussian elimination. Pivoting. | 3.3, 3.4 |
| 9 | W 3/3 | The LDMT and LDLT factorizations. Positive definite systems. | 4.1, 4.2 |
| 10 | M 3/8 | Banded systems. Householder and Givens Matrices. | 4.3, 5.1 |
| 11 | W 3/10 | The QR factorization. | 5.2 |
| M 3/15 | Spring Break | ||
| W 3/17 | Spring Break | ||
| 12 | M 3/22 | The full-rank LS problem. | 5.3 |
| 13 | W 3/24 | Rank deficiency: QR with pivoting. Complete orthogonal decomposition. | 5.4.1, 5.4.2 |
| 14 | M 3/29 | The rank deficient LS problem. The pseudo-inverse. | 5.5.1-5.5.4 |
| 15 | W 3/31 | Review | |
| 16 | M 4/5 | Midterm Exam | |
| 17 | W 4/7 | Discussion of midterm and homework problems. | |
| 18 | M 4/12 | Schur decomposition and eigenvalue sensitivity. | 8.1.1, 8.1.2 |
| 19 | W 4/14 | The power method and inverse iteration. | 8.2.1-8.2.2 |
| 20 | M 4/19 | Distance between subspaces. The orthogonal iteration. | 2.6.1-2.6.3, 8.2.4 |
| 21 | W 4/21 | The QR iteration and the symmetric QR algorithm. | 8.2.5, 8.3 |
| 22 | M 4/26 | ||
| 23 | W 4/28 | ||
| 24 | M 5/3 | ||
| 25 | W 5/5 | ||
| 26 | M 5/10 | ||
| 27 | W 5/12 | ||