Abstract algebra, MA 330, CRN 13706, Fall 2008


Instructor: Christian Rosendal, room 416 SEO

Course webpage: http://www.math.uic.edu/~rosendal/MA330-08.html

Extra office hour Monday December 8th, 12:00-2:00.

Exam syllabus: Parts I, II, III (except chapter 18).

Required text: Joseph A. Gallian; Contemporary Abstract Algebra; 6th edition, Houghton Mifflin.

Course hours: Monday - Wednesday - Friday, 9:00-9:50 AM.

Office hours: In my office SEO 416.
  • Monday 11:00-12:00,
  • Tuesday 2:00-3:00.

Reading: I will assign chapters from the book that I will try to cover every week. A good strategy is to read every section before it is covered it class, take notes and gain additional understanding during class, and the reread the section and do the assigned homework exercises at the end of the week. A part from the assigned homework exercises that have to be handed in, I assign additional exercises that you should do on your own. The material covered in exercises constitute an integral part of the exam syllabus and will greatly help you assimilate the theoretical material.

Homework: There will be a number of homework sets due in the course of the semester. These should be handed in to me at the beginning of class on the due date. No late homework will be accepted and any homework handed in after the deadline will be credited for 0 points. When calculating the homework grade, the lowest score will be dropped. So, e.g., if you have missed one homework set, then this will be counted as your lowest score.

Midterms: There will be two midterms each taking place during regular class hours. These will take place on:
  • 1st midterm: Friday, October 10th. Syllabus: Chapters 0-7. To prepare for the midterm, do all exercises assigned so far.
  • 2nd midterm: Friday, November 7th. Syllabus: Chapters 0-11. To prepare for the midterm, do all exercises assigned so far.
The midterms and final exam will consist of exercises resembling the homework exercises. So doing exercises equals good exam preparation.

To be excused from a midterm you will need to provide a valid excuse and a letter from the doctor to this effect. You will not have the chance to make up an exam, so if you are excused from a midterm your midterm grade will be the score on your other midterm. It is your responsibility to be in time for an exam, not your alarm clock's.

Final exam: Will take place Tuesday, December 9th, 10:30 - 12:30.

Grade: Your grade will be a weighted average of your homework, midterm, and final grades calculated as follows:
  • Homeworks: 20 %
  • Midterms: 40 %
  • Final: 40 %
Weekly programme:
  • Week beginning on August 25th: Make sure you are familiar with the background material in chapter 0. Read chapters 1 and 2.
  • Week beginning on September 1st: Read chapters 3 and 4. Do exercises for Friday.
  • Week beginning on September 8th: Read chapter 5.
  • Week beginning on September 15th: Read chapters 6 and 7.
  • Week beginning on September 22nd: We're behind, so reread chapters 6 and 7. I will be out of town this week, but Prof. Cheskidov will teach the class.
  • Week beginning on September 29th: Read chapters 8 and 9.
  • Week beginning on October 6th: Prepare for the first midterm.
  • Week beginning on October 13th: Read chapters 9 and 10.
  • Week beginning on October 20th: Read chapters 11 and 12.
  • Week beginning on October 27th: Read chapter 13.
  • Week beginning on November 3rd: Read chapter 14 and prepare for the second midterm.
  • Week beginning on November 10th: Read chapters 15 and 16.
  • Week beginning on November 17th: Read chapter 17.
  • Week beginning on November 24th:
  • Week beginning on December 1st: Do exercises on chapter 17.
Homework exercises:
  • Due Wednesday September 10th: Chapter 2, Ex 36 and Chapter 3, Ex 6, 20, 34, 46.
  • Due Wednesday September 17th: Chapter 4, Ex 4, 8c and supplementary exercise 30.
  • Due Friday October 10th. Chapter 7, Ex 8, 10 and Chapter 8, Ex 6, 12.
  • Due Wednesday October 22nd: Chapter 9, Ex 8, 10, 46, Chapter 10, Ex 10, 30.
  • Due Wednesday October 29th: Chapter 11, Ex 6, 12 and supplementary exercises 4, 6, 12.
  • There is no homework due the week of November 3rd, because of the midterm.
  • Due Friday November 14th: Chapter 12, Ex 2, 8, Chapter 13, Ex 4, 18.
  • Due Wednesday November 26th: Chapter 14, Ex 18, 32, 42 and Chapter 15, Ex 8, 40.
Extra exercises:
These are not to be handed in, but are for your own practice and are considered part of the syllabus. Notice that the odd numbered exercises have solutions in the back of the book. We will go through some of the exercises on Fridays.
  • For Friday September 5th: Chapter 0, Ex 5, 9, 13, 15 and Chapter 2, Ex 3, 9, 14, 15, 17, 20, 26, 27, 31.
  • For Friday September 12th: Chapter 2, Ex 25 and Chapter 3, Ex 9, 11, 15, 17, 37.
  • For Friday September 19th: Chapter 4 supplementary exercises 1,2,3,4.
  • For Friday September 26th: Chapter 5, 3,5,6,9,19,31,41,42.
  • For Friday October 3rd: Chapter 6, Ex 1,5,7,13,15,17,25 and chapter 7, Ex 1,7,12,13,15,17,27.
  • For Friday October 10th: Prepare for midterm by doing all exercises assigned so far.
  • For Friday October 17th: Chapter 8, supplementary exercises 1,2,3,4.
  • For Friday October 24th: Chapter 9, Ex 7, 9, 15, 21, 23, 31, Chapter 10, Ex 11, 21, 29, 35, 39.
  • For Friday October 31st: Chapter 11, Ex 1, 3, 5, 17 and supplementary exercises 1, 3, 15.
  • For Friday November 7th: Prepare for the second midterm by doing all the exercises assigned so far.
  • For Friday November 14th: Chapter 12, Ex 3, 4, 6, 7, 15, 19, 23 (cf. exercise 22), Chapter 13, Ex 5, 7, 13, 19, 29, 35, 52, 55.
  • For Friday November 21st: Chapter 14, Ex 3, 5, 6, 7, 9, 10, 11, 13, 27 and Chapter 15, Ex 5, 7, 10, 17, 21, 30, 31, 51.
  • For Wednesday November 26th: Chapter 16, Ex 1, 2, 3, 11, 13, 17.
  • For Wednesday December 3rd: Chapter 17, Ex 3, 5, 9, 10, 11, 12, 13, 14.
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