2008 June 2 / E-Mail Me

# Schedule

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.

DayTopicReadingProblemsHand-In Day
01 M 3/31solving linear systems1.11.1 #02, 04, 10, 15, 18, 19, 22, 28, 29, 37, 4003
02 W 4/02row reduction1.21.2 #09, 10, 18, 24, 29, 32, 34, 36, 4206
03 F 4/04matrix algebra I1.31.3 #04, 05, 07, 14, 18, 24, 28, 29, 30, 47, 48, 51, 54, 5806
04 M 4/07linear transformations2.12.1 #02, 03, 05, 07, 18, 20, 32, 35, 37, 44, 4806
05 W 4/09geometry of transformations2.22.2 #03, 05, 14, 16, 24, 27, 29, 33, 40, 4209
06 F 4/11inverse transformations2.32.3 #04, 19, 28, 34, 40, 41, 45, 5409
07 M 4/14matrix algebra II2.42.4 #07, 11, 12, 16, 23, 28, 35ab, 39, 44, 57, 72, 84, 8609
08 W 4/16image, kernel3.13.1 #05, 06, 18, 20, 33, 35, 36, 43, 44, 45, 4810
09 F 4/18span, independence3.23.2 #06, 15, 19, 24, 30, 36, 37, 39, 42, 46, 53, 5412
10 M 4/21basis, dimension3.33.3 #16, 23, 32, 35, 43, 44, 47, 52, 61, 62, 6312
11 W 4/23EXAM 1 (DAYS 1-8)
12 F 4/25coordinates3.43.4 #08, 17, 25, 29, 40, 49, 52, 57, 61, 66, 73, 74, 7615
13 M 4/28vector spaces4.14.1 #03, 06, 19, 22, 26, 39, 44, 45, 47, 5415
14 W 4/30linear transformations4.24.2 #09, 17, 26, 33, 48, 55, 62, 72, 74, 77, 78, 8117
15 F 5/02matrices for transformations4.34.3 #02, 05, 15, 16, 19, 54, 59, 7017
-- M 5/05midterm break
16 W 5/07orthonormality5.15.1 #06, 12, 15, 18, 27, 37, 42, 4520
17 F 5/09Gram-Schmidt5.2 (omit QR)5.2 #14, 29, 3320
18 M 5/12orthogonal transformations5.35.3 #06, 09, 10, 15, 16, 27, 30, 31, 38, 42, 52, 5320
19 W 5/14least squares5.45.4 #04, 07, 09, 20, 30, 36, 3923
20 F 5/16inner products5.55.5 #01, 06, 09, 18, 20, 2623
determinants6.16.1 #07, 25, 28, 38, 43, 44, 49, 5723
21 M 5/19properties of determinants6.26.2 #05, 17, 23, 37, 41, 5123
geometry of determinants6.3 (until Cramer)6.3 #04, 14, 18, 19, 20, 4623
22 W 5/21intro to eigenstuff7.17.1 #01, 02, 03, 04, 05, 06, 07, 08, 18, 19, 3426
23 F 5/23computing eigenvalues7.2EXAM 2 (DAYS 1-21) IN PROGRESS
24 M 5/26computing eigenvectors7.3EXAM 2 STILL IN PROGRESS
25 W 5/28diagonalization7.47.2 #12, 29, 43
7.3 #09, 20
7.4 #16, 26, 59
232.jordan.pdf #01, 02, 03
28
26 F 5/30complex eigenvalues7.57.5 #19, 25, 32, 3628
27 M 6/02spectral theorem8.18.1 #11, 12, 23, 24, 36never
28 W 6/04conclusion
-- M 6/09FINAL EXAM (3:30-6:00)