MA405 Spring 2016 Syllabus

MA 405 Spring 2016 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 6	Course overview	1.mws (1.txt)
2. Jan 8, Fri	Solution of linear equations		L §1.1; S §1.1, S §1.2
3. Jan 11	Reduction to REF, Gaussian elimination		L §1.2; S §1.3, S §1.4; Mathematicians on paper money
4. Jan 13	Reduced REF, Gauss-Jordan elimination	4.mws	L §1.2
5. Jan 15, Fri	Catch-up
Monday Jan 18	MLK Holiday, no class
6. Jan 20	Matrix algebra		L §1.3-1.4 S §2.1, S §2.2, S §2.3, Part S §2.4
7. Jan 22, Fri	Matrix multiplication
8. Jan 25	Fibonacci numbers
9. Jan 27	Matrix inverse, transposition		S §2.4
10. Jan 29, Fri	Catch-up	fib.mws
11. Feb 1	Elementary matrices; matrix factorization	11.mws	L §1.5; S §2.8-10
12. Feb 3, Wed, class time	First midterm exam, counts 20%
13. Feb 5, Fri	Determinants		H §2.1-3; S §3
14. Feb 8	Return of exam
15. Feb 10	Minor (co-factor) expansion; cost of recursion	12.mws (12.txt)	H §2.4; S §3.6-7
16. Feb 12, Fri	Catch-up	fib.mws
17. Feb 15	Cramer's rule	13.mws (13.txt)
18. Feb 17	Vector Spaces	14.mws (14.txt)	H §3.1-3; S §4.1,
19. Feb 19, Fri	Subspace		H §3.4 S §6.1
20. Feb 22	Lin independence, span, basis		H §3.5; S §6.6-7 H §3.6; S §6.12
21. Feb 24	Nullspace, dimension		H §3.7; S §6.3-4
22. Feb 29(!)	Row and col space, rank		H §3.7
23. Mar 2	Catch-up; review of exam
Wed, Mar 2, 11:59pm	Last day to drop course without grade
Week Mar 7-11	Spring break, no classes
24. Mar 14, Mon, class time	Second midterm exam, counts 20%
25. Mar 16	Orthogonal vectors and complement spaces		H §4.2; S §4.1, S §6.18
26. Mar 21	Return of exam; catch-up
27. Mar 23	Orthogonal projection, least squares	21.mws, 21B.mws	H §4.2-3; S §6.28
28. Mar 28	Application of least squares: curve fitting	29.mws
29. Mar 30	Abstract inner product, norm; weighted least squares	30.mws	H §4.4
30. Apr 4	Gram-Schmidt algorithm	24.mws	H §4.5-6; S §6.22
31. Apr 6	Ortho proj by QR factorization	25.mws, 25.txt
32. Apr 11	Catch-up
33. Apr 13	Linear transformations	26.mws	H §4.1; S §5.1-4
34. Apr 18	Eigenvalues	27a.mws (27a.txt) 27b.mws (27b.txt)	H §5.2-3, 5.6; S §6.36
35. Apr 20	Solving linear differential equations
36. Apr 25	Catch up; review of final exam
Wed, May 4, 9:00-11:00am, 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 5% 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 2015.

Academic Standards

Examinations:All three examinations will be closed book-closed notes. However, you will be able to bring 2-sided 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).

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.