MA305 Spring 2003 Syllabus

MA 305 Spring 2003 Syllabus

* This is a *projected* list and subject to amendment.
Lecture	Topic(s)	Audio	Slides	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	(.ra 6.8MB) (.ra 1.1MB)	1.html	1.mws (1.txt)
2. Jan 14	Solution of linear equations	(*.ra 7.4MB)	2.html		H §1.2; S §1.1, S §1.2,
3. Jan 16	Reduction to REF, Gaussian elimination	(*.ra 7.8MB)	3.html		H Appendix B; S §1.3, S §1.4; Mathematicians on paper money
Tuesday, Jan 21		Martin Luther King holiday, no class
Thursday, Jan 23		Class 4 canceled because of winter weather
5. Jan 29	Reduced REF, Gauss-Jordan elimination	(*.ra 8MB)	4.html	4.mws (4.txt)	H §1.3
6. Jan 31	Matrix algebra	(*.ra 8.2MB),	5.html	5.mws (5.txt)	S §2.1, S §2.2, S §2.3, Part S §2.4
7. Feb 4	Matrix multiplication	(*.ra 8.5MB)	6.html	6.mws (6.txt)
8. Feb 6	Matrix inverse, transposition	(*.ra 8.1MB)	8.html	8.mws (8.txt)	S §2.4; H §1.5
9. Feb 11	elementary matrices; matrix factorization	(*.ra 8.3MB)	9.html	9.mws (9.txt)	S §2.8-10
Thursday, Feb 13 class time		First midterm exam, counts 17.5%
10. Feb 18	Return of exam	(*.ra 7MB)	10.html	10.mws (10.txt)
Wednesday, Feb 19		Last day to drop course without grade
11. Feb 20	Determinants	(*.ra 7.5MB)	11.html	11.mws (11.txt)	H §2.1-3; S §3
12. Feb 25	Minor (co-factor) expansion; cost of recursion	(*.ra 8.5MB)	12.html	12.mws (12.txt)	H §2.4; S §3.6-7
13. Feb 27	Cramer's rule	(*.ra 8.1MB)	13.html	13.mws (13.txt)
14. Mar 4	Vector Spaces	(*.ra 8.1MB)	14.html	14.mws (14.txt)	H §3.1-3; S §4.1,
15. Mar 6	Subspace	(*.ra 8.6MB)	15.html	15.mws (15.txt)	H §3.4 S §6.1
Week Mar 10-14		Spring break, no classes
16. Mar 18	Lin independence, span, basis	(*.ra 7.8MB)	16.html		H §3.5; S §6.6-7 H §3.6; S §6.12
17. Mar 20	Nullspace, dimension	(*.ra 8.2MB),	17.html		H §3.7; S §6.3-4
18. Mar 25	Row and col space, rank	(*.ra 8.2MB)	18.html		H §3.7
Thursday, Mar 27, at class time		Second midterm exam, counts 17.5%
19. Apr 1	Return of exam	(*.ra 8.2MB)	20.html
20. Apr 3	Orthogonal vectors and complement spaces	(*.ra 8.5MB)	19.html		H §4.2; S §4.1, S §6.18
21. Apr 8	Orthogonal projection, least squares	(*.ra 8.5MB)	21.html		H §4.2-3; S §6.28
22. Apr 10	Application of least squares: curve fitting	(*.ra 8.3MB)	22.html
23. Apr 15	Abstract inner product, norm; weighted least squares	(*.ra 8.4MB)	23.html	23.mws (23.txt)	H §4.4
Thursday Apr 17		Holiday, no class
24. Apr 22	Gram-Schmidt process	(*.ra 7.9MB	24.html	24.mws (24.txt)	H §4.5-6; S §6.22
25. Apr 24	Ortho proj by QR factorization	(*.ra 8.0MB	25.html	25.mws (25.txt)
26. Apr 29	Linear transformations	(*.ra 7.0MB)	26.html	26.mws (26.txt); more Maple animation commands	H §4.1; S §5.1-4
27. May 1	Eigenvalues		27.html	27a.mws (27a.txt) 27b.mws (27b.txt)	H §5.2-3, 5.6; S §6.36
Tuesday, May 13, 13h00-16h00, in class room		Final exam, counts 25%

Instruction Personnel

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

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, 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 split up
Accumulated homework grade	40%
Final examination	25%
First mid-semester exam	17.5%
Second mid-semester exam	17.5%

Course grade	100%

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:

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.