Here is the course description, stolen from the Rutgers Summer School Catalog
16:642:550: SEC. E6
LINEAR ALGEBRA AND APPLICATIONS (3.0)
MTTH
(6 PM - 8:40 PM)
06/23 to 08/04 BUS
Hill
Center 425
Topics Covered: 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://www.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.
I will be available in Hill 436 for questions between 5:00 and 6:00 PM on Mondays and Thursdays, 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.
There will be no class on Monday, July 4th.
There will be a three hour final exam in the last class meeting on Thursday, August 4. This class will be 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.
A syllabus with homework assignments can be found here.
Supplements are distributed on this site while the course is in session.
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 Pseudoinverse
S8: The Perron-Frobenius Theorem
S9: A robust method for finding characteristic polynomials
S10: Numerical Methods in Linear Algebra.