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MA 305 Spring 2004 Syllabus

Course Outline*

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 13 Course overview streamed audio(*.ra 6.8MB) 1.html 1.mws (1.txt)  
2. Jan 15 Solution of linear equations streamed audio(*.ra 7.4MB) 2.html
H §1.2; S §1.1, S §1.2,
3. Jan 20 Reduction to REF, Gaussian elimination streamed audio(*.ra 7.8MB) 3.html
H Appendix B; S §1.3, S §1.4; Mathematicians on paper money
4. Jan 22 Reduced REF, Gauss-Jordan elimination streamed audio(*.ra 8MB) 4.html
H §1.3
Jan 27 Winter storm, class cancelled
5. Jan 29 Matrix algebra streamed audio(*.ra 8.2MB),
 5.html 5.mws (5.txt) S §2.1, S §2.2, S §2.3, Part S §2.4
6. Feb 3 Matrix multiplication streamed audio(*.ra 8.5MB) 6.html 6.mws (6.txt)
Not covered Fibonacci numbers streamed audio(*.ra 8.2MB) 7.html 7.mws (7.txt)
8. Feb 5 Matrix inverse, transposition streamed audio(*.ra 8.1MB) 8.html 8.mws (8.txt) S §2.4; H §1.5
9. Feb 10 elementary matrices; matrix factorization streamed audio(*.ra 8.3MB) 9.html 9.mws (9.txt) S §2.8-10
Thursday, Feb 12 class time First midterm exam, counts 17.5%
11. Feb 19 Return of exam streamed audio(*.ra 7MB) 10.html 10.mws (10.txt)
10. Feb 17 Determinants streamed audio(*.ra 7.5MB) 11.html 11.mws (11.txt)
H §2.1-3; S §3
12. Feb 24 Minor (co-factor) expansion; cost of recursion streamed audio(*.ra 8.5MB) 12.html 12.mws (12.txt) H §2.4; S §3.6-7
13. Feb 26 Cramer's rule streamed audio(*.ra 8.1MB) 13.html 13.mws (13.txt)
Friday, Feb 27 Last day to drop course without grade
14. Mar 2 Vector Spaces streamed audio(*.ra 8.1MB) 14.html 14.mws (14.txt)
H §3.1-3; S §4.1,
15. Mar 4 Subspace streamed audio(*.ra 8.6MB)
15.html 15.mws (15.txt)
H §3.4 S §6.1
Week Mar 8-12 Spring break, no classes
16. Mar 16 Lin independence, span, basis streamed audio(*.ra 7.8MB) 16.html
H §3.5; S §6.6-7 H §3.6; S §6.12
17. Mar 18 Nullspace, dimension streamed audio(*.ra 8.2MB),
 17.html
H §3.7; S §6.3-4
18. Mar 23 Row and col space, rank streamed audio(*.ra 8.2MB) 18.html
H §3.7
Thursday, Mar 25, at class time Second midterm exam, counts 17.5%
19. Mar 30 Return of exam streamed audio(*.ra 8.2MB) 20.html

20. Apr 1 Orthogonal vectors and complement spaces streamed audio(*.ra 8.5MB) 19.html
H §4.2; S §4.1, S §6.18
21. Apr 6 Orthogonal projection, least squares streamed audio(*.ra 8.5MB) 21.html 21.mws (21.txt), 21B.mws (21B.txt)
H §4.2-3; S §6.28
Thursday Apr 8 Holiday, no class
22. Apr 13 Application of least squares: curve fitting streamed audio(*.ra 8.3MB) 22.html
22.mws (22.txt)

23. Apr 15 Abstract inner product, norm; weighted least squares streamed audio(*.ra 8.4MB) 23.html 23.mws (23.txt)
H §4.4
24. Apr 20 Gram-Schmidt process streamed audio(*.ra 7.9MB
24.html 24.mws (24.txt) H §4.5-6; S §6.22
25. Apr 22 Ortho proj by QR factorization streamed audio(*.ra 8.0MB
25.html 25.mws (25.txt)
26. Apr 27 Linear transformations streamed audio(*.ra 7.0MB)
26.html 26.mws (26.txt); more Maple animation commands H §4.1; S §5.1-4
27. Apr 29 Eigenvalues
27.html
 27a.mws (27a.txt) 27b.mws (27b.txt) H §5.2-3, 5.6; S §6.36
Thursday, May 6, 13h00-16h00, in class room Final exam, counts 25%
* This is a projected list and subject to amendment.

Instruction Personnel

For instructor, teaching assistant, office hours, telephone numbers, email and physical addresses see the homepages of Erich Kaltofen and Kenneth Running, Juan Carlos Rodriguez.

Textbook and Online Text and Notes

I have obtained Professor Mark Sapir's online linear algebra text book. The book was purchased by a lump sum and is free for you.

If you really need a hardcopy textbook, you can buy We will be following Sapir's book ("S" in the above syllabus), but the material in Hill's book is very similar and you should not have any difficulty finding the corresponding sections ("H" in the above syllabus).

On-line information: All information on courses that I teach (except individual grades) is now accessible via html browsers, which includes this syllabus. Click on my courses' page of my resume. You can also find information on courses that I have taught in the past, and examinations that I have given.

Grading and General Information

Grading will be done with plus/minus refinement.

There will be three or four 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).

Grade distribution of Spring 2002.

Academic Standards

Examinations:All three examinations will be closed book-closed notes. However, you will be able to bring note sheets of paper with pertinent information to the examinations (1 for first exam, 2 for second exam, and 3 for final exam with the intent that you reuse your sheets for subsequent exams). The examinations will require your physical presence on campus.

Collaboration on homeworks: I expect every student to be his/her own writer/Maple programmer. Therefore the only thing you can discuss with anyone is how you might go about solving a particular problem. You may use freely information that you retrieve from public (electronic) libraries or texts, but you must properly reference your source.

Late submissions: All homeworks must be submitted on time. The following penalties are given for (unexcused) late submissions:

Alleged cheating incidents: I will not decide any penalty myself, but refer all such cases to the proper judiciary procedures.

©2003 Erich Kaltofen. Permission to use provided that copyright notice is not removed.