The schedule of what we cover, including homework assignments, was last updated on Wednesday, 11 May 2005.
The course description (also in PDF format for your printing pleasure) includes details about the text, grading policies, office hours, and all that fun stuff. It was last modified on Saturday, 5 March 2005.
Students have the option of doing a project on a subject of their
choosing related to linear algebra. The project should be a 5-10 page
paper (or comparable computer program, etc.) exploring and explaining
an application of linear algebra (for example, to graph theory,
dynamical systems, computation, etc.), some theoretical aspect of
linear algebra we don't cover in this course, or some of the history
of linear algebra.
Your project will be graded on how well you cover your topic, including writing style. Please include references to your sources. You may work with another student, but if you do so, your project must be correspondingly more in-depth, and you need to identify explicitly each persons contribution to the project. As described in the course description, this project counts for up to a quarter of your grade in the course. Projects are due on the last day of classes.
Some of the projects have been graded; grades are posted on the course grades page as I do them.
Some supplementary material:
- The positive reals as a vector space
over the rationals (also PDF).
Also, a discussion of the isomorphism between this space and the reals (also PDF).
- A linear algebra toolkit to help with calculations. Of course, you can also use more general software like Maple, Mathematica, or Matlab.
- A book for a linear
algebra course taught by
Stanley Payne at University
of Colorado at Denver. The coverage and level of these notes is comparable
to that of our textbook, but you might find an alternative exposition
I like the book by Axler (which is on reserve in the library) better, but this one is free.
- Another online linear algebra book, Elementary Linear Algebra, written by Keith Matthews of the University of Queensland.
- An excellent article by Sheldon Axler on
linear algebra without
determinants, discussing eigenvalues and eigenvectors, Jordan form, and
lots of good stuff.
In addition, Chapter 6 (Inner Product Spaces) and Chapter 7 (Operators on Inner Product Spaces) from Axler's Linear Algebra Done Right are freely downloadable.
- A Maple worksheet discussing Gram-Schmidt orthogonalization and its relation to approximating functions.