Practices tests:
Office:325G Maclean Hall 
Email:goodman at math dot uiowa dot edu 
Phone:Office: 3193350791 
Paper Mail:Fred Goodman Department of Mathematics MLH The University of Iowa Iowa City, IA 522421419 USA 
Office Hours:After each lecture (at a convenient lunch spot) or by appointment. 
Teaching Assistant:Oscar VegaOffice hours:Tuesdays & Thursdays

Click here for syllabus in PDF format.
Thursdays 5:306:30 210 MLH
Frederick M. Goodman, Algebra: Abstract and Concrete, 2nd edition, Prentice Hall, 2002.

There will be 8 to 12 written assignments. Details will appear here as the assignments are made.Please see the remarks on the syllabus about the standard of explanation expected on the homework.
First assignment, Due Friday, Sept. 3.
1.3.1, 1.3.2, 1.3.3
1.4.1 (Do not compute all 64 products. Instead, compute sufficiently many products to determine all the rest, and explain why your computations determine all the rest  compare exercise 1.3.3.)
1.4.2, 1.4.3
2nd assignment, Due Friday Sept. 10
Section 1.5, Exercises 17, 12, 14
3rd assignment, Due Friday Sept. 17
Section 1.6, Exercises 1, 3, 7, 4b, 10, 11
Section 1.8, Exercises 5, 6, 8, 9
4th assignment, Due Friday Sept. 24
Section 1.7, Exercises 1115
Exercise 1.7.16: Find an integer x such that x is congruent to 3 mod 4 and x is congruent to 5 mod 9.
5th assignment, Due Friday Oct. 1
Sorry I didn't post this on Friday the 24th.
Section 2.1, Exercises 1113
Section 2.2 Exercises 11, 16, 23.
6th assignment, Due Friday Oct. 8
Section 2.3 Exercises 17 and 9.
Exercise A: Work out the subgroup lattice of the dihedral group D_6.
7th assignment, Due Friday Oct. 15
Section 2.4, 1013, 20
Section 2.5, 79, 15
Section 2.7, 5 (A is a subgroup, N is a normal subgroup), 6
8th assignment, Due MONDAY Oct. 25 (note change of due day!)
Section 2.4, #14, 15.
Section 2.5, # 16.
Section 3.2 #1, 2, 3
9th assignment, Due MONDAY Nov. 8
3.1 # 5, 6, 13
3.2 # 5
3.3 # 1, 2, 6, 7
(A) Show that the center of S_n for n at least 3 is trivial (consists of the identity alone).
10th assignment, Due MONDAY Nov. 15
3.4 # 12, 1419
11th assignment, Due MONDAY Nov. 29
5.1 # 5, 6, 8, 10, 12, 15, 17
5.2 # 1, 2, 3
12th assignment, Due FRIDAY December 10
5.4 # 1, 49, 11
Note: exercise #2 is just plain WRONG.
5.6 # 1, 2.
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.