Abstract algebra, MA 330, CRN 35029, Spring 2014

Instructor: Christian Rosendal, room 416 SEO

Course webpage: http://homepages.math.uic.edu/~rosendal/WebpagesMathCourses/MATH330-2014.html

Required text: Thomas W. Judson; Abstract Algebra; 2013 edition. This book is available for free online here. If you prefer to have a hardcopy version, this can be bought through the dealers listed on the website above for around $20.

Course syllabus: We shall cover a large part of the book, while omitting a few chapters. We expect to cover chapters 2-6, 9-18, 21. Chapter 1 is background material, which you will mostly be familiar with and are expected to consult or read on you own.

Course hours and location: Monday - Wednesday - Friday, 12:00-12:50 PM in Taft Hall 312.

Office hour: Monday 3:30-4:30 in my office SEO 416.

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. Apart 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, so 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: February 28th
  • 2nd midterm: April 4th
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: Tuesday May 6th, 8:00 - 10:00 AM

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 January 14th: Make sure you are familiar with the background material in chapters 1,2. Read chapter 3.
  • Week beginning on January 20th (note Monday is off due to Martin Luther King's day): Read chapter 4.
  • Week beginning on January 27th: Read chapter 5.
  • Week beginning on February 3rd: Read chapter 6.
  • Week beginning on February 10th: Read chapters 9.
  • Week beginning on February 17th: Read chapters 10.
  • Week beginning on February 24th: Read chapter 11.
  • Week beginning on March 3rd: Read chapter 13.
  • Week beginning on March 10th: Read chapter 14.
  • Week beginning on March 17th: Read chapter 15.
  • Week beginning on March 24th: Spring break.
  • Week beginning on March 31st: Read chapter 16.
  • Week beginning on April 7th: Read chapter 17.
  • Week beginning on April 14th: Read chapter 18.
  • Week beginning on April 21st: Read chapter 21.
  • Week beginning on April 28th: Review and catch up.
Homework exercises:
  • Due 01/24: 3.1(b)(d), 3.2(b)(d), 3.5, 3.7, 3.27, 3.32
  • Due 01/31: 3.35, 3.36, 3.41, 3.47, 4.1, 4.2(b)(d)(f), 4.4(b)(d)(e), 4.14
  • Due 01/07: 5.2(d)(i)(j)(k)(l), 5.3(b)(d), 5.6, 5.10, 5.13, 5.20, 5.23
  • Due 02/14: 6.5(b)(f)(h), 6.6, 6.8, 6.9, 6.11, 6.19
  • Due 02/21: 9.4, 9.9, 9.13, 9.16(b)(d), 9.18, 9.22, 9.34
  • No homework due on 02/28. We have the first midterm.
  • Due 03/14: 10.1(b)(e), 10.4, 10.5, 10.12, 11.1, 11.2(b)(d)(e), 11.7
  • Due 03/21: 13.2, 13.3, 13.4(b)(f)(g)(d), 13.6, 13.7, 13.13, 13.14, 13.16
  • Due 03/18: 15.1, 15.2, 15.3, 15.4, 15.5, 15.7, 15.8
  • Due 03/28: 15.9, 15.13, 16.1, 16.2, 16.3, 16.4, 16.9
Extra exercises:
These are not to be handed in, but are for your own practice and are considered part of the syllabus.
  • 3.3, 3.10, 3.16, 3.29, 3.30
  • 14.2, 14.3, 14.4, 14.5, 14.6(a)(b)(c), 14.9, 14.10, 14.11
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