Autumn 2018

MWF 10:30-11:20 am in Eckhart 202, Problem Session Thursday 6:00-7:00 in Eckhart 203

Please pay attention to the
detailed list of Reading
and Homework Assignments. It may be subject to change.

`http://www.math.uchicago.edu/~fcale/Algebra/25700.html/`

10/15/18: Practice problems for the final can be found here.

Math 25700 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 25400, but there is a greater emphasis in 25700 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 25700 should be prepared to devote considerable time to them.

- Teachers
- Class Logistics
- Textbooks
- Homework
- Discussion section and quizzes
- Exams
- Grading
- Checking your grades
- Regrading policy
- Reading and Homework Assignments
- Extracurricular Activities
- Textbook
- Accommodations
- 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.
- Exams There will be two hour tests which cannot be made up (see Grading) and a two-hour final exam.
- Grading 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 of the N homework sets is worth 200/(N-1) points; the maximum number of homework points is 200 coming from your best N-1 assignments.
- Each hour test is worth a total of 100 points.
**Some**(but not all) of the points you miss on the hour tests 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 tests. Specifically, your final will be graded on a basis of 200 points; that raw score will be multipled by the fraction (600-N)/400, where N is your (adjusted) combined score on the hour tests.
- Checking your grades On our 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 | Yutao Liu |

Office | Eckhart 226 | Eckhart E8 |

Phone | Who uses phones? | |

fcale@math.uchicago.edu | yutao492@uchicago.edu | |

Office Hours | Tuesday 11:30-12:30 and Friday 12:30-1:30 | Mon-Wed 12:30-1:30, Fri 1:30-2:30. |

*The easiest way to make an appointment is to see Prof. Calegari 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, you might want to consult several other books, such as

Gallian, Joseph A.,Contemporary abstract algebra

Lang, Serge,Algebra

Herstein, I. N.,Abstract algebra

Fraleigh, John B,A first course in abstract algebra

Any student with a documented disability needing accommodations is requested to speak directly to Student Disability Services (773-702-6000, or disabilities@uchicago.edu) and to the instructor as early as possible in the quarter (preferably within the first two weeks of class). All discussions will remain confidential.

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. Exceptions may be made for illness or other exceptional circumstances.

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.

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