2008 June 2 / E-Mail Me
We largely follow the textbook (Bretscher, Linear Algebra With Applications, 3rd edition), but we mix in as many additional applications as possible. Problems marked in bold must be handed in. Do the other problems, but do not hand them in. Remember that this quantity of problems is the minimum that I recommend to pass the course.
| Day | Topic | Reading | Problems | Hand-In Day |
|---|---|---|---|---|
| 01 M 3/31 | solving linear systems | 1.1 | 1.1 #02, 04, 10, 15, 18, 19, 22, 28, 29, 37, 40 | 03 |
| 02 W 4/02 | row reduction | 1.2 | 1.2 #09, 10, 18, 24, 29, 32, 34, 36, 42 | 06 |
| 03 F 4/04 | matrix algebra I | 1.3 | 1.3 #04, 05, 07, 14, 18, 24, 28, 29, 30, 47, 48, 51, 54, 58 | 06 |
| 04 M 4/07 | linear transformations | 2.1 | 2.1 #02, 03, 05, 07, 18, 20, 32, 35, 37, 44, 48 | 06 |
| 05 W 4/09 | geometry of transformations | 2.2 | 2.2 #03, 05, 14, 16, 24, 27, 29, 33, 40, 42 | 09 |
| 06 F 4/11 | inverse transformations | 2.3 | 2.3 #04, 19, 28, 34, 40, 41, 45, 54 | 09 |
| 07 M 4/14 | matrix algebra II | 2.4 | 2.4 #07, 11, 12, 16, 23, 28, 35ab, 39, 44, 57, 72, 84, 86 | 09 |
| 08 W 4/16 | image, kernel | 3.1 | 3.1 #05, 06, 18, 20, 33, 35, 36, 43, 44, 45, 48 | 10 |
| 09 F 4/18 | span, independence | 3.2 | 3.2 #06, 15, 19, 24, 30, 36, 37, 39, 42, 46, 53, 54 | 12 |
| 10 M 4/21 | basis, dimension | 3.3 | 3.3 #16, 23, 32, 35, 43, 44, 47, 52, 61, 62, 63 | 12 |
| 11 W 4/23 | EXAM 1 (DAYS 1-8) | |||
| 12 F 4/25 | coordinates | 3.4 | 3.4 #08, 17, 25, 29, 40, 49, 52, 57, 61, 66, 73, 74, 76 | 15 |
| 13 M 4/28 | vector spaces | 4.1 | 4.1 #03, 06, 19, 22, 26, 39, 44, 45, 47, 54 | 15 |
| 14 W 4/30 | linear transformations | 4.2 | 4.2 #09, 17, 26, 33, 48, 55, 62, 72, 74, 77, 78, 81 | 17 |
| 15 F 5/02 | matrices for transformations | 4.3 | 4.3 #02, 05, 15, 16, 19, 54, 59, 70 | 17 |
| -- M 5/05 | midterm break | |||
| 16 W 5/07 | orthonormality | 5.1 | 5.1 #06, 12, 15, 18, 27, 37, 42, 45 | 20 |
| 17 F 5/09 | Gram-Schmidt | 5.2 (omit QR) | 5.2 #14, 29, 33 | 20 |
| 18 M 5/12 | orthogonal transformations | 5.3 | 5.3 #06, 09, 10, 15, 16, 27, 30, 31, 38, 42, 52, 53 | 20 |
| 19 W 5/14 | least squares | 5.4 | 5.4 #04, 07, 09, 20, 30, 36, 39 | 23 |
| 20 F 5/16 | inner products | 5.5 | 5.5 #01, 06, 09, 18, 20, 26 | 23 |
| determinants | 6.1 | 6.1 #07, 25, 28, 38, 43, 44, 49, 57 | 23 | |
| 21 M 5/19 | properties of determinants | 6.2 | 6.2 #05, 17, 23, 37, 41, 51 | 23 |
| geometry of determinants | 6.3 (until Cramer) | 6.3 #04, 14, 18, 19, 20, 46 | 23 | |
| 22 W 5/21 | intro to eigenstuff | 7.1 | 7.1 #01, 02, 03, 04, 05, 06, 07, 08, 18, 19, 34 | 26 |
| 23 F 5/23 | computing eigenvalues | 7.2 | EXAM 2 (DAYS 1-21) IN PROGRESS | |
| 24 M 5/26 | computing eigenvectors | 7.3 | EXAM 2 STILL IN PROGRESS | |
| 25 W 5/28 | diagonalization | 7.4 | 7.2 #12, 29, 43 7.3 #09, 20 7.4 #16, 26, 59 232.jordan.pdf #01, 02, 03 | 28 |
| 26 F 5/30 | complex eigenvalues | 7.5 | 7.5 #19, 25, 32, 36 | 28 |
| 27 M 6/02 | spectral theorem | 8.1 | 8.1 #11, 12, 23, 24, 36 | never |
| 28 W 6/04 | conclusion | |||
| -- M 6/09 | FINAL EXAM (3:30-6:00) |