| Week: Date Day | Lecture Topics | Assignments |
|---|
| 1: January 8 Tuesday
| Sec 1.1: Intro, Matrix Multiply
| 1.1.14 |
| 1: January 10 Thursday
| Sec 1.2-3: Linear Systems, Triangular Systems
| 1.2.17,18,20; 1.3.15,16,20,28,29 |
| 2: January 15 Tuesday
| Sec 1.4: Positive Def Systems, Cholesky Decomp
| (1)Sec 1.1-3 Work Due; 1.4.21,23,31,34,40 |
| 2: January 17 Thursday
| Sec 1.5-6: Banded and Sparse +Def Systems,
| 1.4.47,54,58; 1.5.11,12; 1.6.3,4 |
| 3: January 22 Tuesday
| Sec 1.7: Gauss Elimination
| 1.7.10,18,26,27 |
| 3: January 24 Thursday
| Sec 1.7: LU Decomp
| (2)Section 1.4-6 Work Due; 1.7.37,40,50abcd |
| 4: January 29 Tuesday
| Sec 1.8-9: Pivoting, Sparse Systems
| 1.8.4,9,11,12,16 |
| 4: January 31 Thursday
| Sec 2.1-2: Norms, Condition Numbers
| 2.1.30; 2.2.14,23,30 |
| 5: February 5 Tuesday
| Sec 2.3-4: Perturbations, Error Analysis
| (3)Sec 1.7-9 Work Due: 2.3.12; 2.4.4,5 |
| 5: February 7 Thursday
| Sec 2.5: Roundoff Errors
| 2.5.6 |
| 6: February 12 Tuesday
| Sec 2.6-7: Backward Stability, Gauss Elim. Errors
| (4)Sec 2.1-5 Work Due; 2.6.5,6,7; 2.7.25,26,27 |
| 6: February 14 Thursday
| Sec 2.8-9: Scaling, Componentwise Analysis
| 2.8.12 |
| 7: February 19 Tuesday
| Sec 3.1-2: Discrete LS, Orthogonal Matrices
| 3.1:5,6; |
| 7: February 21 Thursday
| Sec 3.2: Rotators and Reflectors
| (5)Sec 2.6-9 Work Due; 3.2.14,27,29,36,39,41,70 |
| 8: February 26 Tuesday
| Sec 3.3: LS Solutions
| 3.3:7,8,10,15 |
| 8: February 28 Thursday
| :Sec 3.4: Gram-Schmidt
| 3.4:5,22,29abe |
| 9: March 4 Tuesday
| Sec 3.5: Geometric LS Analysis
| (6) Sec 3.1-3 Work Due: 3.5:2,5,23,28,38 |
| 9: March 6 Thursday
| Sec 3.6: QR Updating
| 3.6:4,5,7 |
| X: March 10-March 14 | Spring Break, No Classes
| |
| 10: March 18 Tuesday
| Sec 4.1-2: SVD Intro
| 4.1:14,15; 4.2:8, 10, 20 |
| 10: March 20 Thursday
| Sec 4.3-4: LS Problems and LS Sensitivity
| (7) Sec 3.4-6 Work Due; 4.3:8,9; 4.4: 16 |
| 11: March 25 Tuesday
| Sec 5.1-2: Eigensystem Intro
| 5.1:20,22; 5.2:14,17,23a |
| 11: March 27 Thursday
| Sec 5.3: Power Method
| 5.3:8,9,20,34 |
| 12: April 1 Tuesday
| Sec 5.4-5: Similarity, Hessenberg Reduction
| (8) Sec 4.1-4 Work Due; 5.4:27,28,33,45; 5.5:7: |
| 12: April 3 Thursday
| Sec 5.6: QR Algorithm
| 5.6:14,20,27 |
| 13: April 8 Tuesday
| Sec 5.7: QR Implementation
| (9) Sec 5.1-5 Due; 5.7:13,19,26,33,43 |
| 13: April 10 Thursday
| Sec 5.8-9: QR Eigenvectors, QR SVD
| 5.8:7; 5.9:33 |
| 14: April 15 Tuesday
| Sec 6.1-2: QR Convergence
| 6.2:4,34,36,38 |
| 14: April 17 Thursday
| Sec 6.5: Eigensystem Sensitivity
| (10) Sec 5.6-9 Due; 6.5.14,28,29 |
| 15: April 22 Tuesday
| Sec 6.6-7: Symmetric, Generalized Eigensystems
| 6.7:31,43 |
| 15: April 24 Thursday
| Course Summary
| |
| 16: May 2 Friday
| No Final Exam
| (11) Sec 6.1-7: Final Assignment Due 3PM | |