MA305 Spring 2001 Syllabus

MA 305 Spring 2001 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 (taught by J. May)	Course overview	(*.ra 7.3MB)	1.html	1.mws (1.txt)
2. Jan 11 (taught by J. May)	Solution of linear equations	(*.ra 8.0MB)	2.html		H §1.2; S §1.1, S §1.2,
Tuesday, Jan 16		Martin Luther King holiday, no class
3. Jan 18	Reduction to REF, Gaussian elimination	(*.ra 8.3MB)	3.html	3.mws (3.txt)	H Appendix B; S §1.3, S §1.4; Mathematicians on paper money
4. Jan 23	Reduced REF, Gauss-Jordan elimination	(.ra 4.7MB), (.ra 3.8MB)	4.html		H §1.3
5. Jan 25	Matrix algebra	(*.ra 8.4MB),	5.html	5.mws (5.txt)	S §2.1, S §2.2, S §2.3, Part S §2.4.
6. Jan 30	Fibonacci numbers	(*.ra 8.43MB) [The track sounds better now.]	6.html	6.mws (6.txt)
7. Feb 1	Matrix inverse, transposition	(*.ra 8.8MB),	7.html	7.mws (7.txt)	S §2.4
8. Feb 6	Elementary matrices	(*.ra 8.6MB)	8.html	8.mws (8.txt)	H §1.5; S §2.8-10
9. Feb 8	Matrix factorization	(*.ra 8.3MB)	9.html	9.mws (9.txt)
Tuesday, Feb 13 class time		First midterm exam, counts 17.5%
10. Feb 15	Determinants	(*.ra 8.9MB)	10.html	10.mws (10.txt)	H §2.1-3; S §3
11. Feb 20	Return of exam	(*.ra 7MB)	11.html
Wednesday, Feb 21		Last day to drop course without grade
12. Feb 22	Minor (co-factor) expansion; cost of recursion	(*.ra 8MB)	12.html	12.mws (12.txt)	H §2.4; S §3.6-7
13. Feb 27	Cramer's rule	(*.ra 8.5MB)	13.html	13.mws (13.txt)
14. Mar 1	Vector Spaces, Subspaces	(*.ra 8.1MB)	14.html	14.mws (14.txt)	H §3.1-4; S §4.1, S §6.1
15. Mar 6 (taught by J. May)	Lin independence, span		15.html		H §3.5; S §6.6-7
		Because of an incorrectly set input switch, we have no audio of John's class. Online students, please listen to parts of class 14 and 15 of last year.
16. Mar 8	Nullspace, basis	(*.ra 7.8MB)	16.html		H §3.6; S §6.12
Week Mar 12-16		Spring break, no classes
17. Mar 20	Dimension	(.ra 5.0MB), (.ra 3.3MB)	17.html	17.mws (17.txt)	H §3.7; S §6.3-4
18. Mar 22	Row and col space, rank	(*.ra 8.5MB)	18.html	18.mws (18.txt)	H §3.7
Tuesday, Mar 27, at class time		Second midterm exam, counts 17.5%
19. Mar 29	Orthogonal vectors and complement spaces	(*.ra 7.6MB)	19.html	19.mws (19.txt)	H §4.2; S §4.1, S §6.18
20. Apr 3	Return of exam	(*.ra 6.2MB)	20.html
21. Apr 5	Orthogonal projection, least squares	(*.ra 8.3MB)	21.html		H §4.2-3; S §6.28
22. Apr 10	Application of least squares: curve fitting	(*.ra 7.6MB)	22.html
Thursday Apr 12		Holiday, no class
23. Apr 17	Abstract inner product, norm; weighted least squares	(*.ra 8.2MB)	23.html	23a.mws (23a.txt)	H §4.4
24. Apr 19	Curve fitting for algorithm analysis	(*.ra 8.3MB)	24.html	24a.mws (24a.txt); 24b.mws (24b.txt)
25. Apr 24	Gram-Schmidt process	(*.ra 8.4MB	25.html	25.mws (25.txt)	H §4.5-6; S §6.22
	Note: lsqpkg/initpkg.mpl is fixed to be Maple 6 compliant. The above worksheet runs under both Maple V.4 and Maple 6
26. Apr 26	Ortho proj by QR factorization	(*.ra 6.4MB	26.html	26.mws (26.txt)
27. May 1	Linear transformations	(*.ra 8.3MB)	27.html	27a.mws (27a.txt); more Maple animation commands	H §4.1; S §5.1-4
28. May 3	Eigenvalues	(*.ra 8.6MB)	28.html	28a.mws (28a.txt) 28b.mws (28b.txt)	H §5.2-3, 5.6; S §6.36
Thursday, May 10, 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 John P. May.

Textbook and Online Text and Notes

I have obtained Professor Mark Sapir's online linear algebra text book. This will require each student to pay $10.

If the deal does not go through we can use a hardcopy book, which I have ordered

Richard Hill

We will be following Sapir's book, but the material in Hill's book is very similar and you should not have any difficulty finding the corresponding sections.

On-line information: All information on courses that I teach (except individual grades) is now accessible via html browsers, which includes this syllabus. My courses' directory is at

http://oreobox.math.ncsu.edu/kaltofen/courses/

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 five or six 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 2000.

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.