|
|
| Lecture |
Topic(s) |
Audio |
Slides |
Maple ws |
Notes/Book(s) |
| 1. Jan 6 |
Course overview |
 (*.ra 5.7MB),
(*.ra 2.9MB)
|
1.html |
1.mws (1.txt) |
|
| 2. Jan 8 |
Solution of linear equations |
(*.ra 5.7MB),
(*.ra 2.9MB)
|
2.html |
2.mws (2.txt) |
H §1.2;
S §1.1,
S §1.2,
|
| 3. Jan 13 |
Reduction to REF, Gaussian elimination |
(*.ra 5.7MB),
(*.ra 3.0MB)
|
3.html |
3.mws (3.txt) |
H Appendix B;
S §1.3,
S §1.4.
|
| 4. Jan 15 |
Reduced REF, Gauss-Jordan elimination |
(*.ra 5.7MB),
(*.ra 1.7MB)
|
4.html |
4.mws (4.txt) |
H §1.3 |
| Tuesday, Jan 20 |
Martin Luther King holiday, no class |
| 5. Jan 22 |
Matrix algebra |
(*.ra 5.7MB),
(*.ra 2.2MB)
|
5.html
| 5.mws (5.txt) |
S §2.1,
S §2.2,
S §2.3,
Part S §2.4.
|
| 6. Jan 27 |
Fibonacci numbers |
(*.ra 5.9MB),
(*.ra 2.4MB)
|
6.html |
6.mws (6.txt) |
|
| 7. Jan 29 |
Matrix inverse, transposition |
(*.ra 5.7MB),
(*.ra 2.9MB)
|
7.html |
7.mws (7.txt) |
S §2.4
|
| 8. Feb 3 |
Elementary matrices |
Cassette recorder broken. No audio. Sorry. We do have notes.
|
8.html |
8.mws (8.txt) |
H §1.5;
S §2.8-10
|
| 9. Feb 5 |
Matrix factorization |
(*.ra 6.8MB),
(*.ra 1.7MB)
|
9.html |
9.mws (9.txt) |
|
| Tuesday, Feb 10, at class time |
First midterm exam, counts 17.5% |
| 10. Feb 12 |
Determinants |
(*.ra 5.86MB),
(*.ra 2.0MB)
|
10.html |
10.mws (10.txt) |
H §2.1-3;
S §3
|
| 11. Feb 17 |
Return of exam |
(*.ra 5.5MB)
|
11.html |
11.mws (11.txt) |
|
| Wednesday, Feb 18 |
Last day to drop course without grade |
| 12. Feb 19 |
Cramer's rule |
(*.ra 6.8MB),
(*.ra 2.0MB)
|
12.html |
12.mws (12.txt) |
H §2.4;
S §3.6-7
|
| 13. Feb 24 |
Vector spaces |
(*.ra 6.8MB),
(*.ra 1.7MB)
|
13.html |
13.mws (13.txt) |
H §3.1-4;
S §4.1
|
| 14. Feb 26 |
Subspaces |
(*.ra 6.8MB),
(*.ra 1.7MB)
|
14.html |
|
S §6.1
|
| 15. Mar 3 |
Lin independence, span |
(*.ra 6.8MB),
(*.ra 1.7MB)
|
15.html |
|
H §3.5;
S §6.6-7
|
| 16. Mar 5 |
Basis, dimension |
(*.ra 6.8MB),
(*.ra 1.7MB)
|
16.html |
16.mws (16.txt) |
H §3.6;
S §6.12
|
| Week Mar 9-13 |
Spring break, no classes |
| 17. Mar 17 |
Null space |
(*.ra 6.8MB),
(*.ra 1.7MB)
|
17.html |
17.mws (17.txt) |
H §3.7;
S §6.3-4
|
| 18. Mar 19 |
Row and col space, rank |
(*.ra 6.8MB),
(*.ra 1.9MB)
|
18.html |
18.mws (18.txt) |
H §3.7 |
| Tuesday, Mar 24, at class time |
Second midterm exam, counts 17.5% |
| 19. Mar 26 |
Orthogonal vectors and complement spaces |
(*.ra 6.8MB),
(*.ra 1.7MB)
|
19.html |
|
H §4.2;
S §4.1,
S §6.18
|
| 20. Mar 31 |
Return of exam |
(*.ra 5.4MB),
(*.ra 1.4MB)
|
20.html |
|
|
| 21. Apr 2 |
Orthogonal projection, least squares |
(*.ra 6.8MB),
(*.ra 2.0MB)
|
21.html |
21.mws (21.txt) |
H §4.2-3;
S §6.28
|
| 22. Apr 7 |
Application of least squares: curve fitting |
(*.ra 6.8MB),
(*.ra 1.0MB)
|
22.html |
22a.mws (22a.txt);
22b.mws (22b.txt);
22c.mws (22c.txt);
22d.mws (22d.txt)
|
|
| Thursday, Apr 9 |
Easter, no classes |
| 23. Apr 14 |
Estimating the run time of a program |
(*.ra 6.8MB),
(*.ra 1.0MB)
|
23.html;
QSORT run trace |
23a.mws (23a.txt);
23b.mws (23b.txt)
|
|
| 24. Apr 16 |
Abstract inner product, norm;
weighted least squares |
(*.ra 6.7MB),
(*.ra 1.7MB)
|
24.html |
24a.mws (24a.txt);
24b.mws (24b.txt)
| H §4.4 |
| 25. Apr 21 |
Gram-Schmidt process |
(*.ra 6.7MB,
(*.ra 1.7MB)
|
25.html |
25.mws (25.txt) |
H §4.5-6;
S §6.22
|
| 26. Apr 23 |
Ortho proj by QR factorization |
(*.ra 6.7MB
|
26.html |
26.mws (26.txt) |
|
| 27. Apr 28 |
Linear transformations |
(*.ra 6.8MB),
(*.ra 1.7MB)
|
27.html |
27.mws (27.txt);
more Maple animations
|
H §4.1;
S §5.1-4
|
| 28. Apr 30 |
I left out the batteries from the recorder, so there is no
audio for the make-up class. Therefore, I post last semester's class
on eigenvalues (same topic, same lecture). All "new..." is from
the make-up class. |
|
Eigenvalues |
(*.ra 5.2MB),
(*.ra 2.6MB)
|
28.html
new28.html |
28.mws
(28.txt);
new28.mws (new28.txt)
|
H §5.2-3, 5.6;
S §6.36
|
| Thursday, May 7, 1pm-3, in class room |
Final exam, counts 25% |
* This is a projected list and subject to amendment.
There will be seven or eight 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.
©1997 Erich Kaltofen. Permission to use
provided that copyright notice is not removed.