MA405 Spring 2009 Syllabus

MA 405 Spring 2009 Syllabus

* This is a *projected* list and subject to amendment.
Lecture	Topic(s)	Maple ws	Notes/Book(s)
Course Outline * Note: all underscored links are active; future links will be installed over the listed items as the class progresses.
1. Jan 7	Course overview	1.mws (1.txt)
2. Jan 9, Fri	No class
3. Jan 12	Solution of linear equations		H §1.2; S §1.1, S §1.2,
4. Jan 14	Reduction to REF, Gaussian elimination		H Appendix B; S §1.3, S §1.4; Mathematicians on paper money
5. Jan 16, Fri
Monday Jan 19	MLK Holiday, no class
6. Jan 21	Reduced REF, Gauss-Jordan elimination		H §1.3
7. Jan 23, Fri
8. Jan 26	Matrix algebra	5.mws (5.txt)	S §2.1, S §2.2, S §2.3, Part S §2.4
9. Jan 28	Matrix multiplication
10. Jan 30, Fri	Makeup for snowday	7.mws (7.txt)
11. Feb 2	Fibonacci numbers	7.mws (7.txt)
12. Feb 4	Matrix inverse, transposition	8.mws (8.txt)	S §2.4; H §1.5
13. Feb 6, Fri
14. Feb 9	elementary matrices; matrix factorization	9.mws (9.txt)	S §2.8-10
15. Feb 11 class time	First midterm exam, counts 20%
16. Feb 13, Fri	No class
17. Feb 16	Return of exam	10.mws (10.txt)
18. Feb 18	Determinants	11.mws (11.txt)	H §2.1-3; S §3
19. Feb 20, Fri
20. Feb 23	Minor (co-factor) expansion; cost of recursion	12.mws (12.txt)	H §2.4; S §3.6-7
21. Feb 25	Cramer's rule	13.mws (13.txt)
22. Feb 27, Fri	No class
Week Mar 2-6	Spring break, no classes
23. Mar 9	Vector Spaces	14.mws (14.txt)	H §3.1-3; S §4.1,
24. Mar 11	Subspace	15.mws (15.txt)	H §3.4 S §6.1
Wed, Mar 11	Last day to drop course without grade
25. Mar 13, Fri
26. Mar 16	Lin independence, span, basis		H §3.5; S §6.6-7 H §3.6; S §6.12
27. Mar 18	Nullspace, dimension		H §3.7; S §6.3-4
28. Mar 20, Fri
29. Mar 23	Row and col space, rank		H §3.7
30. Mar 25, at class time	Second midterm exam, counts 20%
31. Mar 27, Fri	No class
32. Mar 30	Orthogonal vectors and complement spaces		H §4.2; S §4.1, S §6.18
33. Apr 1	Orthogonal projection, least squares	21.mws (21.txt), 21B.mws (21B.txt)	H §4.2-3; S §6.28
34. Apr 3, Fri	No class
35. Apr 6	Application of least squares: curve fitting	22.mws (22.txt)
36. Apr 8	Abstract inner product, norm; weighted least squares	23.mws (23.txt)	H §4.4
Fri Apr 10	Holiday, no class
37. Apr 13	Gram-Schmidt process	24.mws (24.txt)	H §4.5-6; S §6.22
38. Apr 15	Ortho proj by QR factorization	25.mws (25.txt)
39. Apr 17, Fri
40. Apr 20	Linear transformations	26.mws (26.txt); more Maple animation commands	H §4.1; S §5.1-4
41. Apr 22	Eigenvalues	27a.mws (27a.txt) 27b.mws (27b.txt)	H §5.2-3, 5.6; S §6.36
42. Apr 24, Fri	No class
Mon, Apr 27, 9h00-11h00, in class room		Final exam, counts 30%

Instruction Personnel

For instructor, office hours, telephone numbers, email and physical addresses see the homepages of Erich Kaltofen

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

Richard Hill

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 four homework assignments of approximately equal weight, two mid-semester examinations during the semester, and final examination. Depending on time constraints, I may only grade a selection of homework problems.

I will check who attends class. You will forfeit 10% of your grade if you miss 3 or more classes without a valid justification. I you miss a class because you are sick, etc., please let me know. I may require you to document your reason.

If you need assistance in any way, please let me know (see also the University's policy).

Grade split up (tentative: need to find grader for homeworks)
Accumulated homework grade	20%
Final examination	30%
First mid-semester exam	20%
Second mid-semester exam	20%
Class attendance	10%

Course grade	100%

Grade distribution of Spring 2004.

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:

up to 1 day late: 20% reduction
up to 2 days late: 50% reduction
after 2 days: no credit (= 100% reduction)

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