Practices tests:

Midterm, 2004.

Midterm, 1998.

Final, 1998.

# Contact Information:

### Office:

325G Maclean Hall

### Email:

goodman at math dot uiowa dot edu

### Phone:

Office: 319-335-0791

### Paper Mail:

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

### Office Hours:

After each lecture (at a convenient lunch spot) or by appointment.

# Problem session:

Thursdays 5:30-6:30 210 MLH

# Textbook:

 Frederick M. Goodman, Algebra: Abstract and Concrete, 2nd edition, Prentice Hall, 2002. This text is required.

# Assignment lists:

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 1-7, 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 11-15

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 11-13

Section 2.2 Exercises 11, 16, 23.

6th assignment, Due Friday Oct. 8

Section 2.3 Exercises 1-7 and 9.

Exercise A: Work out the subgroup lattice of the dihedral group D_6.

7th assignment, Due Friday Oct. 15

Section 2.4, 10-13, 20

Section 2.5, 7-9, 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, 14-19

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, 4-9, 11

Note: exercise #2 is just plain WRONG.

5.6 # 1, 2.

# Exams:

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.