MWThF 10:00 am Lunt 104
Although lectures will generally take place on MWF and discussion sections on Thursdays, there may be some deviations
from this schedule, so please pay careful attention to the detailed list of Reading and Homework Assignments.
07/25/08: Please STAPLE the pages of your homework together.
10/25/08: A practice midterm is available here.
11/25/08: Practice problems for the final are now available here.
12/11/08: Sample Exam problems with solutions: here.
12/12/08: Final Exam Solutions here.
11/15/08: Play the 15-puzzle.
Math 331 is an honors-level course in abstract algebra taught at a high level of abstraction. Its subject matter (groups, rings, fields, etc.) is similar to that of Math 330, but there is a greater emphasis in 331 on proving theorems, by the students themselves as well as by the instructor. A good deal of the learning will come from the weekly problem sets, and students in 331 should be prepared to devote considerable time to them.
During the first 2 weeks of class, students may move from 331 to 330. Thus it is especially important that students dive into the course material immediately to ascertain whether they belong in 331 or not.
|Name||Frank Calegari||Mike Skirvin|
|Office||Lunt 303||Lunt B20|
|Office Hours||Mon 1:00-3:00; Thurs 2:30-3:30||Tues 11:00-12:30; Wed 3:00-4:30|
*The easiest way to make an appointment is to see Prof. Calegari before or after class.
The main text, which you should buy, is David S. Dummit and Richard M. Foote, Abstract Algebra, Third edition, John Wiley & Sons, 2004.
In addition, several other algebra texts have been put on reserve in the Mathematics Library on the first floor of Lunt. They are
Gallian, Joseph A., Contemporary abstract algebra
Lang, Serge, Algebra
Herstein, I. N., Abstract algebra
Fraleigh, John B, A first course in abstract algebra
Working together with someone else on the exercises is an excellent way to enhance your learning and your understanding. Nevertheless, all written work you hand in must be strictly your own. In other words, you are encouraged to work together with others in understanding and solving the problems, but when you actually write them up, you must work alone.
When you hand in your homework, list the names of others you have collaborated with just under your own name at the top of the page.
Your homework should be written in clear mathematical style. You should clearly state what is to be proved in its own sentence; progress sequentially, justifying or explaining each step; write in complete sentences; use notation correctly; and state that you have completed a proof. What you hand in should be a legible final version, not a first draft.
The exercises will be collected during the first 5 minutes of the Monday lecture following the date on which the exercise appears on the schedule (unless otherwise indicated). Late homework will not be accepted without a legitimate excuse; this includes homework which is put in the TA's mailbox rather than handed in during lecture.
There are a total of 600 possible points in the course, distributed as follows:
Note that homework points cannot be made up. There is a simple reason for this: the best way to master the material and pass the course is to do the homework.
If a piece of work is regraded by the TA, be sure to bring it to Prof. Calegari so the change can be recorded.
The MacTutor History of Mathematics Archive contains a wealth of biographical information on mathematicians who are mentioned in our text, as well as interesting articles on the development of various mathematical concepts. It also contains an index of interesting curves.