- GRADES available now!
- Homework and reading assignments
- This syllabus in pdf
- New York Times article on using "singular value decomposition" (eigenvalues and eigenvectorss) to solve the Netflix problem; and another article about the results of the contest, and about the second contest.
- Joel pointed out to me that the computer science article titled "Machine Learning and Image Analysis for Morphological Galaxy Classification", written by Jorge de la Calleja and Olac Fuentes [who is now at UTEP], also uses eigenvalues, and (in contrast to the New York Times articles) explains its technique (see especially section 2). I have not figured out how to put a permament link to the article here, but, from UTEP, it is possible to access the article by Googling the title, and following links that say "UTEP access". The citation is: Mon. Not. R. Astron. Soc. 349, 87-93 (2004).

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.

You will improve your skills of investigating and describing mathematical phenomena.

**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, I 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.

**Quizzes (10%):**-
Suggested homework problems will be assigned
most class days and will generally be discussed at the next class.
There will be approximately biweekly quizzes, with problems taken from
the homework. Quizzes are closed-book, closed-notes. Missed quizzes
**cannot**be made up, but your lowest quiz score will be dropped.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.

**Investigations (10%):**- There will be a series of computer-based investigations where you will get to explore concepts a little more in depth, using WebMathematica. Each investigation will have guiding questions to help you with the computer experiments. Afterwards, you will write a very brief report describing your findings. You will have about 1 week for each investigation. You are allowed to work together on investigations (in fact, I encourage you to do so), but the report you turn in you must write yourself.
**Exams (15% each):**-
There will be three in-class exams on the following days:
- Ch. 1: Fri. 25 Sep.
- Chs. 2, 3: Fri. 6 Nov.
- Ch. 4: Mon. 30 Nov.

**Final (35%)**- The final exam will be comprehensive over all material we discuss in class.
Wed. 9 Dec., 1:00 p.m.-3:45 p.m. **Exception**- Your final exam score will be used in place of your lowest in-class exam score, if this increases your overall class average. In particular, if you miss a test, your final exam score will replace it.

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.