MA405 Spring 2012 Syllabus

MA 405 Spring 2012 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 9	Course overview	1.mws (1.txt)
2. Jan 11	Solution of linear equations		L §1.1; S §1.1, S §1.2,
3. Jan 13(!), Fri	Reduction to REF, Gaussian elimination		L §1.2; S §1.3, S §1.4; Mathematicians on paper money
Monday Jan 16	MLK Holiday, no class
4. Jan 18	Reduced REF, Gauss-Jordan elimination	4.mws	L §1.2
5. Jan 20, Fri	Catch-up
6. Jan 23	Matrix algebra		L §1.3-1.4 S §2.1, S §2.2, S §2.3, Part S §2.4
7. Jan 25	Matrix multiplication
8. Jan 27, Fri	Fibonacci numbers
9. Jan 30	Matrix inverse, transposition	8.mws	S §2.4
10. Feb 1	Catch-up
11. Feb 3, Fri	Elementary matrices; matrix factorization	11.mws	L §1.5; S §2.8-10
12. Feb 6, class time	First midterm exam, counts 20%
13. Feb 8	Return of exam	10.mws (10.txt)
14. Feb 10, Fri	Determinants		H §2.1-3; S §3
15. Feb 13	Minor (co-factor) expansion; cost of recursion	12.mws (12.txt)	H §2.4; S §3.6-7
16. Feb 15	Catch-up
17. Feb 17, Fri	Cramer's rule	13.mws (13.txt)
18. Feb 20	Vector Spaces	14.mws (14.txt)	H §3.1-3; S §4.1,
19. Feb 22	Subspace		H §3.4 S §6.1
20. Feb 24, Fri	Lin independence, span, basis		H §3.5; S §6.6-7 H §3.6; S §6.12
21. Feb 27	Catch-up
22. Feb 29(!)	Nullspace, dimension		H §3.7; S §6.3-4
Week Mar 5-9	Spring break, no classes
23. Mar 12	Row and col space, rank		H §3.7
Mon, Mar 12, 11:59pm	Last day to drop course without grade
24. Mar 14	Catch-up; review of exam
25. Mar 19, at class time	Second midterm exam, counts 20%
26. Mar 21	Orthogonal vectors and complement spaces		H §4.2; S §4.1, S §6.18
27. Mar 26	Return of exam; catch-up
28. Mar 28	Orthogonal projection, least squares	21.mws, 21B.mws	H §4.2-3; S §6.28
29. Apr 2	Application of least squares: curve fitting	29.mws
30. Apr 4	Abstract inner product, norm; weighted least squares	30.mws	H §4.4
31. Apr 9	Gram-Schmidt process	24.mws (24.txt)	H §4.5-6; S §6.22
32. Apr 11	Ortho proj by QR factorization	25.mws (25.txt)
33. Arp 16	Catch-up
34. Apr 18	Linear transformations	26.mws (26.txt); more Maple animation commands	H §4.1; S §5.1-4
35. Apr 23	Eigenvalues	27a.mws (27a.txt) 27b.mws (27b.txt)	H §5.2-3, 5.6; S §6.36
36. Apr 25	Catch up; review of final exam
Fri, May 4, 13h00-15h00, 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

We will be following Leon'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 ("L" 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
Accumulated homework grade	25%
Final examination	30%
First mid-semester exam	20%
Second mid-semester exam	20%
Class attendance	5%

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.