MTTh 6:00--8:30 PM -- Hill 425

Here is the course description, stolen from the Rutgers Summer School Catalog

16:642:550: SEC. E6:80474

LINEAR ALGEBRA AND APPLICATIONS (3.0)

MTTH (6 PM - 8:30 PM)

06/23 to 08/01 BUS

Hill Center 425

PREREQUISITE: Consent of instructor or graduate director.

Vector spaces, bases, and dimension. Linear operators, quadratic forms, and their matrix representations. Eigenvalues, eigenvectors, diagonalizability, Jordan and other canonical forms. Applications to systems of linear differential equations.

The text for the course is:

*Gilbert Strang*, **Linear Algebra and its Applications**,

Thomson--Brooks/Cole,
**fourth edition** (2006),
(ISBN 0-03-010567-6, ISBN-13: 9780030105678).

The main source of course material in this department is the World
Wide Web. The department home page is http://sites.math.rutgers.edu That page has links to
**Course materials**, which shows a page with links to individual
courses. Many courses, including this one,
have pointers to several years of course archives. Here is a link to the summer 2007 page, which was
taught by the present instructor. This course has been stable for
several years. However, you can expect minor revisions in the
supplements, and some new homework exercises.

I also have a personal home page that can also
be reached by following the
**Faculty** link on the department page.

I will be available in Hill 438 for questions between 5:00 and 6:00 PM on class days, and at other times by appointment.

The pace of the course will be enforced by a short (of duration no more than 45 minutes) exam each week. These exams will be given at the start of the period on Tuesday for the second and third weeks, and Monday for subsequent weeks.

Homework will be collected two class meetings after it is assigned. The homework will be graded. The grade will mostly serve to identify additional work that should be done prior to the exam.

July 4 is a holiday, but it falls on Friday this year, so we will have six full weeks of classes.

There will be a three hour final exam in the last class meeting on Thursday, July 31. This class will been lengthened to three hours, and be held from 6 to 9 PM. No books, papers or calculators are allowed on any exam.

Prior exposure to Linear Algebra at the Undergraduate level is expected, allowing the course to begin with Chapter 4 of the text. The first class will include a quick review of the topics in such a course.

Rutgers uses Sakai to enhance
exchanges of information in the course. Follow the link in the
previous sentence to reach the **Welcome screen**.
Login with your Rutgers NetID (eden or rci username and password) and
you should see a screen with a tab for this course at the top of the
screen. Course materials (supplements, homework assignments, and
guides to the exams) should be obtained from that site.

A syllabus with homework assignments evolved on the Sakai site during the course. For easy reference, here is a link to that list.

Supplements were distributed through the Sakai site while the course is in session. Now that we have reached the end of the semester, they have been transfered here for easy reference. There were a few changes from previous versions in addition to the date, mostly attempts to correct weaknesses in exposition, but exercises are now uniformly at the end of each supplement.

- S1: Introduction, including Intersection of Subspaces
- S2: Sign of a Permutation
- S3: The Cauchy-Binet Fomula.
- S4: Finding Eigenvectors
- S5: Matrix Exponentials
- S6: Schur's Unitary Triangularization Theorem
- S7: The Perron-Frobenius Theorem
- S8: The Pseudoinverse
- S9: A robust method for finding characteristic polynomials
- S10: Numerical Methods in Linear Algebra.