MW 9:00-10:20, LART 204; 3 credit hours

- Homework and reading assignments
- This syllabus in pdf
- Graphing calculators:
- Desmos for 2-dimensional graphing
- math3d.org seems to be the most useful 3-dimensional graphing software for our purposes, because you can graph more than one plane at a time. However, it may take some effort to learn.
- On MacOS X, the built-in Grapher app can graph in 2 or 3 dimensions. It is simpler, but less powerful than the others.
- If you find graphing software that you think is worth sharing, let me know; if I agree, I'll put it up here.

- Evidence you can't multitask:

You may also ask any questions directly via phone or e-mail. If I'm not in when you call, please leave a message on the voice-mail or answering machine with your name, number, and a good time for me to call you back. I will try to respond to your phone or e-mail message as soon as possible.

Upon successful completion of this course, you will be able to solve and analyze systems of linear equations. You will be able to find and describe the various vector spaces associated to a matrix, and you will be prepared to study more abstract vector spaces. You will be able to compute eigenvalues and eigenvectors of a matrix, and know what they are good for. You will be able to do all of this equally well with the symbolic/numerical description of matrices and vectors as arrays of numbers, and with the geometrical description of matrices and vectors, using the powerful organizing concept of dimension, even in dimensions higher than 3.

**Required Reading:**
Read each section that we cover in class, both before and after class.
Skim the section before class, even if you don't understand it fully,
to have some idea of what we'll be doing in class. Read it more
carefully after class to clarify and fill in details you missed in
class.

**Warning:**
Sometimes, we will not "cover" all the material from a section, but
instead focus on a particular aspect of the section. In such cases, I
will point out in class (and at this
website) which other
parts of the section I expect you to read on your own.

It is very important that you do your homework before it is discussed in class. You will only learn the material by doing it yourself, not by watching others do it for you.

- Ch. 1: Wed. 27 Sep.
- Chs. 2, 3: Wed. 8 Nov.
- Ch. 4: Wed. 29 Nov.

I hope everyone will complete the course successfully, but if you are having doubts about your progress, I will be happy to discuss your standing in the course to help you decide whether or not to drop. You are only allowed three enrollments in this course, and students enrolled after Fall 2007 are only allowed six withdrawals in their entire academic career, so please exercise the drop option judiciously.