Abstract Algebra I

22m120, Fall 1998

Instructor: Fred Goodman

Contact Information:


325G Maclean Hall


goodman at math dot uiowa dot edu


Voice: 319-335-0791

Paper Mail:

Fred Goodman
Department of Mathematics MLH
The University of Iowa
Iowa City, IA 52242-1419 USA

Office Hours:

Monday 10:30-11:30, Wednesday 4:00-5:30

Teaching Assistant:

Maziar Ouliaei Nia


Click here for syllabus in PDF format (Adobe Acrobat/Acrobat Reader needed.)

Problem session:

Weekly 10:00-10:45 Tuesdays in B11 MLH, starting September 8, with Teaching Assistant Maziar Ouliaei Nia.


Frederick M. Goodman, Algebra: Abstract and Concrete, Prentice Hall, 1998.

This text is required.Click here for further information.

Michael Artin, Algebra, Prentice Hall, 1991.

This text is recommended.

Assignment lists:

There will be 8 to 12 written assignments. Details will appear here as the assignments are made.

1st assignment, due Thursday, September 3:

Exercises 1.4.2, 1.43, 1.5.2, 2.1.3, 2.1.6, 2.1.10. Please see the remarks on the syllabus about the standard of explanation expected on the homework.

2nd assignment, due Thursday, September 10:

Exercises 2.1.12, 2.1.13, 2.1.14, 2.2.4, 2.2.5, 2.2.6, 2.2.9.

3rd assignment, due Tuesday, September 21:

Exercises 2.3.4, 2.3.7, 2.3.8, 2.3.11, 2.4.1, 2.4.3, 2.4.4, 2.4.8.

4th Assignment, due Thursday, October 1:

Exercises, all in section 3.1: 5, 7-12.

5th Assignment, due Tuesday, October 13:

Section 3.1: Exercises 13, 14, 17. Section 3.2, Exercises 2 (Note errata!), 5, 6, 7, 11, 12.

6th Assignment, due Tuesday, October 20:

Section 3.3: Exercises 8-10 Section 3.4: Exercises 3-6, 8-9.

7th Assignment, due Tuesday, November 10.

Section 3.4, Exercises 11-12, Section 3.5, Exercises 5-7, Section 3.6, Exercises 3, 5, 6.

Please note: We have collectively been getting quite sloppy about handing in/collecting assignments on time. Let us please agree that the assignments are really due when they are due (although the due date may be renegotiated for the entire class.)

8th Assignment, due Tuesday, November 24.

Section 4.3: Exercises 1-2. Section 4.4: Exercises 1,5. Section 4.5: Exercises 1-3.

Final Assignment, due Tuesday, December 8.

Section 5.1: Exercises 5, 6, 9.5 = Example 5.1.20. Section 5.3: Exercises 1, 2, 3, 5, 7, 10.

Suggestions for additional study/practice:

A similar course currently being given at University of Pennsylvania by Eugene Stern has a very similar point of view. (The textbook is Artin.) Here is a link to Eugene Stern's course page with exercise assignments.


There will be one or two midterm exams, dates to be negotiated; the dates will appear here when they are known. There will be a comprehensive final exam. The text of the exams will appear here after the exams have been done by all students.

Click here for the text of the first exam.