| Class | Date | Time / Main Topic | Section(s) / Room |
| 1 | Tu 01/28 | Overview | |
| 2 | Th 01/30 | Gaussian Elimination (GE) and the LU Decomposition | 1.7, 1.8 |
| 3, #1 | Tu 02/04 | Roundoff Errors; Propagation of Roundoff Errors | 2.5, 2.6 |
| 4 | Th 02/06 | Vector Norms | 2.1 |
| 5, #2 | Tu 02/11 | Matrix Norms | 2.1 |
| We 02/12 | 12:00-01:00 CIRC Software Workshop: Advanced MATLAB Programming | ENGR 122 | |
| 6 | Th 02/13 | Snow cancellation | |
| 7, #3 | Tu 02/18 | Matrix Norms; Sensitivity Analysis and Condition Numbers | 2.1, 2.2, 2.3 |
| 8, #4 | Th 02/20 | A Posteriori Error Analysis; Backward Error Analysis of GE | 2.4, 2.7 |
| 9 | Tu 02/25 | Positive Definite Systems; Cholesky Decomposition; Sparse GE and Cholesky in Matlab | 1.4, 1.6, 1.9 |
| We 02/26 | 12:00-01:00 CIRC Software Workshop: Intermediate MATLAB Programming | ENGR 122 | |
| 10 | Th 02/27 | Iterative Methods for Linear Systems; A Model Problem | 8.1 |
| 11 | Th 02/27 | The Classical Iterative Methods | 8.2 |
| 12, #5 | Tu 03/04 | Convergence of Iterative Methods | 8.3 |
| Th 03/06 | No class; make was 02/27 | ||
| 13, #6 | Tu 03/11 | Steepest Descent; The Conjugate Gradient (CG) Method | 8.4, 8.7 |
| We 03/12 | 12:00-01:00 CIRC Software Workshop: An Introduction to MATLAB Programming | ENGR 122 | |
| 14 | Th 03/13 | Cancellation due to water main break | |
| Tu 03/18 | Spring Break | ||
| Th 03/20 | Spring Break | ||
| 15, #7 | Tu 03/25 | The CG Method, preconditioning, Krylov subspace methods | 8.7, 8.6, 8.10 |
| 16, #8 | Th 03/27 | Derivation and convergence of the CG Algorithm | 8.8, 8.9 |
| 17 | Tu 04/01 | Basic Facts About Eigenvalues and Eigenvectors | 5.2 |
| 18 | Th 04/03 | Similarity Transforms | 5.4 |
| 19, #9 | Tu 04/08 | Midterm Exam | |
| We 04/09 | 12:00-01:00 CIRC Software Workshop: MATLAB 3-D Graphics | ENGR 122 | |
| 20 | Th 04/10 | The Discrete Least Squares Problem | 3.1 |
| 21, #10 | Tu 04/15 | Orthogonal Matrices, Rotators, and Reflectors | 3.2 |
| 22 | Th 04/17 | Solution of the Least Squares Problem | 3.3 |
| 23, #11 | Tu 04/22 | The Singular Value Decomposition (SVD) | 4.1 |
| 24 | Th 04/24 | Some Basic Applications of Singular Values | 4.2 |
| 25, #12 | Tu 04/29 | The SVD and the Least Squares Problem | 4.3 |
| 26 | Th 05/01 | The Power Method and Extensions; Similarity Transforms | 5.3, 5.4 |
| 27, #13 | Tu 05/06 | Reduction to Hessenberg and Tridiagonal Forms | 5.5 |
| 28 | Th 05/08 | The QR Algorithm | 5.6 |
| 29 | Tu 05/13 | Computer numbers: IEEE-standard for floating-point numbers | |
| Tu 05/20 | 03:30-05:30 Final Exam Note the date and time! | ||