Applied Math 642:550 -- Summer 2006

MTTh 6:15--8:45 PM -- Hill 705


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

16:642:550: SEC. E6:80559
MTTH (6 PM - 8:30 PM)
06/26 to 08/04 BUS

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.

General information.

The main source of course material in this department is the World Wide Web.  The department home page is 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 2004 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 my office (Hill 438) for questions between 4:45 and 5:55 PM on class days.

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 Monday of the second week (July 3), Tuesday of the third and fourth 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, and it falls on Tuesday this year.  There will be no class on that date, but there will be a class (and the first exam) on Monday, July 3.

There will be a three hour final exam in the last class meeting on Thursday, August 3.  In the past, this class has been lengthened to three hours, but I have not yet located current rules on final exams.


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 (that looks like this screen shot). 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.


These follow the supplements from Summer 2004 fairly closely, although there are minor improvements in editing and changes in the order of topics. The supplements were originally available only through Sakai, but they have been copied here for archival purposes.

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Last updated: September 20, 2006