Instructor:

Erich Kaltofen
Harrelson 150, Tel: (919) 515-8785
Personal E-mail: kaltofen@eos.ncsu.edu
Office hours: Monday, 1-2pm, Thursday, 5:20-7pm, or by appointment.
During my office hours, I will be reachable by phone, and I will monitor the class forum and give real time replies.

Wen-shin Lee
Withers 428C, Tel: 515-8947
Personal E-mail: wlee1@eos.ncsu.edu
Office hours: Tuesday, 1-2:30pm, Wednesday, 2-3:30pm, or by appointment

I have downloaded Professor Mark Sapir's online linear algebra text book (framed homepage), with the author's permission Note the the Maple buttons or not operational yet.

If you cannot do without a hardcopy book, I have ordered

"Elementary Linear Algebra with Applications"
Richard Hill
Saunders College Publishing

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.

There will be homework assignments, some to be done on computers using the Maple systems, two mid-semester examinations during the semester and a final examination during examination week. The final will count 25% of the grade, the midterm exams will count 17.5%. Homeworks will count 40%. Class attendance will not be monitored in any way.

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://www4.ncsu.edu/eos/users/k/kaltofen/public.html/Courses/

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 penalities 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)

* This is a projected list and subject to amendment.

Course Outline*
Relative Date	Calendar Date	Topic(s)	Reading (for online book, click on the individual lectures)
Lect. 1	Aug 19	Course overview
Lect. 2, 3	Aug 21, 26	Reduction to REF, Gaussian elimination, Reduced REF, Gauss-Jordan elimination	H §1.2, Appendix B
Lect. 4	Aug 28	Matrix algebra	H §1.3
Sep 1		Labor Day, no office hours
Lect. 5	Sep 2	Matrix algebra continued
Lect. 6, 7	Sep 4, 9	Elementary matrices and applications	H §1.4
Lect. 8, 9	Sep 11, 16	Matrix factorization	H §1.5
Thursday, Sep 18		First Midterm Exam, counts 17.5%
Lect. 10	Sep 23	Return of exam; determinants	H §2.1-3
Lect. 11, 12	Sep 28, 30	Cramer's rule	H §2.4
Tuesday, Sep 30		Last day to drop the course
Lect. 13, 14	Oct 2, 7	Vector spaces, subspaces	H §3.1-4
Lect. 15	Oct 9	Lin independence, span	H §3.5
Oct 13-14		Fall break, no classes
Lect. 16	Oct 16	Basis, dimension	H §3.6
Lect. 17	Oct 21	Solution by CEF; null space	H §3.7
Lect. 18	Oct 23	Row and col space, rank	H §3.7
Tuesday Oct 28		Second Midterm Exam, counts 17.5%
Lect. 19	Oct 30	Return of exam; catch-up
Lect. 20, 21	Nov 4, 6	Ortho complement space	H §4.2, class notes
Lect. 22, 23	Nov 11, 13	Least squares, ortho proj	H §4.2-3
Lect. 24, 25	Nov 18, 20	Inner product, norm; Gram-Schmidt process	H §4.4
Lect. 26	Nov 25	QR factorization, application to least squares	H §4.5-6
Nov 27-28		Thanksgiving Holidays
Lect. 27, 28	Dec 2, 4	Lin Trafos, Eigenvalues	H §4.1; 5.2-3, 5.6
Tuesday, Dec 9, 1pm-4		Final examination during exam week, counts 25%

Welcome back!
Good luck for this semester!

©1997 Erich Kaltofen. Permission to use provided that copyright notice is not removed.