Fall 2007/2008

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.

`http://www.math.northwestern.edu/~fcale/331.html/`

07/29/07: Please STAPLE the pages of your homework together.

07/29/07: The names of all people you collaborated with on a homework assignment should appear at the top of the first page of the assignment, just under your own name.

11/19/07: The Final Problem List is now online!

11/19/07: The Solutions to the Final are now online!

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. The level is similar to that of a first-year graduate course, although we will move more slowly than a graduate course would. 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.

- Teachers
- Class Logistics
- Textbooks
- Homework
- Discussion section and quizzes
- Exams
- Grading
- Checking your grades
- Regrading policy
- Reading and Homework Assignments
- Extracurricular Activities
- Textbook
- Homework The homework exercises are crucial to understanding the material and passing the course. You should not only do all the assigned exercises, but should also attempt additional unassigned exercises as well. Since I will make changes in the schedule, you should make a point of checking it frequently to be sure you have the most up to date list of assigned problems.
- Discussion section Discussion section will be supervised by the TA. This is your chance to clarify points which are causing you difficulty, but don't expect the TA to tell you how to do the homework. There may occasionally be a short quiz at the end of section to check your understanding of basic points in the lectures. These will be graded, but will not count towards your final grade.
- Exams There will be a single hour test which cannot be made up (see Grading) and a two-hour final exam.
- Midterm : TBA, 10-10:50 am in Lunt 104. Go to the Practice Midterm.
- Final Examination: Wednesday, December 12, 2006, 9-11 am in LUNT 103
- Grading As of 8/30/07, the grading scheme is not yet final. The grading system is designed to maximize your opportunity of earning an A. It will work in this way, subject to minor variations in point totals. (The definitive point totals will be posted when all the homework has been graded.)
- Each homework set is worth 20 points; the maximum number of homework points is 200.
- The hour test is worth a total of 200 points. Any points you miss on the hour test can be made up on the final.
- The final exam will count for a varying percentage of the course total, depending on your score on the hour test. Specifically, your final will be graded on a basis of 200 points; that raw score will be multipled by the fraction (400-N)/200, where N is your (adjusted) score on the hour test.
- Checking your grades On our Blackboard site, you can find a list of the grades we have recorded for you on homework, quizzes, and tests. You should check this list at least once a week. If you find a grade incorrectly recorded, bring that piece of work to lecture and ask Prof. Calegari to fix the mistake.
- Regrading policy The TA and I are happy to answer questions about items on tests or homework at any time. If your question involves a possible grading mistake that might increase your grade, you must request regrading

Instructor | Teaching Assistant | |
---|---|---|

Name | Frank Calegari | Justin Thomas |

Office | Lunt 303 | Lunt B13 |

Phone | (49)1-1891 | (46)7-1955 |

fcale@math.northwestern.edu | jdtomas@math.northwestern.edu | |

Office Hours | Mon 1:00-3:00; Thurs 2:30-3:30 | Mon, Fri 2:00-4:30 |

*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; 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 only 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.

This web page shamelessly taken from: Copyright © 2000 - 2006 Michael R. Stein