|
Note: all underscored links are active; future links will
be installed over the listed items as the class progresses.
|
| Lecture |
Topic(s) |
Audio |
Slides |
Maple ws |
Notes/Book(s) |
| 1. Jan 11 |
Course overview |
 (*.ra 4.7MB),
(*.ra 3.6MB)
|
1.html |
1.mws (1.txt) |
|
| 2. Jan 13 |
Solution of linear equations |
(*.ra 4.9MB),
(*.ra 4.0MB)
|
2.html |
2.mws (2.txt) |
H §1.2;
S §1.1,
S §1.2,
|
| Tuesday, Jan 18 |
Martin Luther King holiday, no class |
| 3. Jan 20 |
Reduction to REF, Gaussian elimination |
(*.ra 4.7MB),
(*.ra 3.7MB)
|
3.html |
|
H Appendix B;
S §1.3,
S §1.4.
|
| Jan 25 & 27 |
Winterstorm, no class |
| 4. Feb 1 |
Reduced REF, Gauss-Jordan elimination |
(*.ra 4.7MB),
(*.ra 3.8MB)
|
4.html |
4_1.mws (4_1.txt),
4_2.mws (4_2.txt)
|
H §1.3 |
| 5. Feb 3 |
Matrix algebra |
(*.ra 5.0MB),
(*.ra 3.6MB)
|
5.html
| 5.mws (5.txt) |
S §2.1,
S §2.2,
S §2.3,
Part S §2.4.
|
| 6. Feb 8 |
Fibonacci numbers |
(*.ra 4.9MB),
(*.ra 3.4MB)
|
6.html |
6.mws (6.txt) |
|
| 7. Feb 10 |
Matrix inverse, transposition |
(*.ra 5.2MB),
(*.ra 3.5MB)
|
7.html |
7.mws (7.txt) |
S §2.4
|
| 8. Feb 15 |
Elementary matrices |
(*.ra 4.8MB),
(*.ra 3.0MB)
|
8.html |
8.mws (8.txt) |
H §1.5;
S §2.8-10
|
| Thursday, Feb 17 class time |
First midterm exam, counts 17.5% |
| 9. Feb 22 |
Matrix factorization |
(*.ra 4.9MB),
(*.ra 3.6MB)
|
9.html |
9.mws (9.txt) |
|
| 10. Feb 24 |
Determinants |
(*.ra 5.1MB),
(*.ra 3.4MB)
|
10.html |
10.mws (10.txt) |
H §2.1-3;
S §3
|
| 11. Feb 29 (one in 400 years!) |
Return of exam |
(*.ra 4.4MB),
(*.ra 2.5MB)
|
11.html |
11.mws (11.txt) |
|
| Tuesday, Feb 29 |
Last day to drop course without grade |
| 12. Mar 2 |
Cramer's rule |
(*.ra 5.1MB),
(*.ra 3.4MB)
|
12.html |
12.mws (12.txt) |
H §2.4;
S §3.6-7
|
| 13. Mar 7 |
The cost of minor expansion |
(*.ra 4.9MB),
(*.ra 2.9MB)
|
13.html |
13_1.mws (13_1.txt)
13_2.mws (13.txt) |
|
|
Warning: executing fibo(50); consumes all your memory
|
| 14. Mar 9 |
Vector Spaces, Subspaces |
(*.ra 5.1MB),
(*.ra 3.2MB)
|
14.html |
|
H §3.1-4;
S §4.1,
S §6.1
|
| Week Mar 13-17 |
Spring break, no classes |
| 15. Mar 21 |
Lin independence, span |
(*.ra 4.7MB),
(*.ra 3.9MB)
|
15.html |
|
H §3.5;
S §6.6-7
|
| 16. Mar 23 |
Nullspace, basis |
(*.ra 4.8MB),
(*.ra 3.4MB)
|
16.html |
|
H §3.6;
S §6.12
|
| 17. Mar 28 |
Dimension |
(*.ra 5.0MB),
(*.ra 3.3MB)
|
17.html |
17.mws (17.txt) |
H §3.7;
S §6.3-4
|
|
The Maple worksheet shows how the example was synthesized
|
| Thursday, Mar 30, at class time |
Second midterm exam, counts 17.5% |
| 18. Apr 4 |
Row and col space, rank |
(*.ra 4.9MB),
(*.ra 3.5MB)
|
18.html |
18.mws (18.txt) |
H §3.7 |
| 19. Apr 6 |
Orthogonal vectors and complement spaces |
(*.ra 4.8MB),
(*.ra 3.1MB)
|
19.html |
|
H §4.2;
S §4.1,
S §6.18
|
| 20. Apr 11 |
Return of exam |
(*.ra 4.9MB),
(*.ra 2.5MB)
|
20.html |
|
|
| 21. Apr 13 |
Orthogonal projection, least squares |
(*.ra 4.7MB),
(*.ra 3.7MB)
|
21.html |
21.mws (21.txt) |
H §4.2-3;
S §6.28
|
| 22. Apr 18 |
Application of least squares: curve fitting |
(*.ra 4.5MB),
(*.ra 3.8MB)
|
22.html
QSORT run trace
|
22a.mws (22a.txt);
22b.mws (22b.txt);
22c.mws (22c.txt)
|
incsolve. mpl
(used in 22a.*) |
| 23. |
Missed due to snowstrom; material merged into previous classes |
| 24. Apr 20 |
Make-up class, no holiday |
|
Abstract inner product, norm;
weighted least squares |
(*.ra 5.1MB),
(*.ra 3.7MB)
|
24.html;
More QSORT tests
|
24.mws (24.txt)
| H §4.4 |
|
The QSORT tests were recreated as I had difficulty saving the script
:-(as you can hear on the audio). During the Maple demo, I compared
the weighted least squares solution with old data. I have recomputed
the unweighted solution in the worksheet that is posted (it is now much
worse than the weighted one:-).
|
| 25. Apr 25 |
Gram-Schmidt process |
(*.ra 5.2MB,
(*.ra 2.9MB)
|
25.html |
25.mws (25.txt)
|
H §4.5-6;
S §6.22
|
| 26. Apr 27 |
Ortho proj by QR factorization |
(*.ra 5.0MB
(*.ra 1.0MB)
|
26.html |
26.mws (26.txt) |
|
|
The first example in 26.mws is from the Spring 1997 final exam.
|
| 27. May 2 |
Linear transformations |
(*.ra 5.2MB),
(*.ra 3.2MB)
|
27.html |
27.mws (27.txt);
more Maple animations
|
H §4.1;
S §5.1-4
|
| 28. May 4 |
Eigenvalues |
(*.ra 5.4MB),
(*.ra 3.1MB)
|
28.html
|
28_1.mws
(28_1.txt)
28_2.mws
(28_2.txt)
|
H §5.2-3, 5.6;
S §6.36
|
| Tuesday, May 16, 1pm-3, in class room |
Final exam, counts 25% |
* This is a projected list and subject to amendment.
There will be five or six homework assignments of
approximately equal weight, some to be done
on computers using the Maple systems, two mid-semester examinations
during the semester and a final examination during examination week.
Class attendance will not be monitored in any way.
If you need assistance in any way, please let me know
(see also the University's
policy).
©2000 Erich Kaltofen. Permission to use
provided that copyright notice is not removed.