Lectures:MWF

Discussions:Tuesdays, 
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:T, Th 1112 and by appointment 
Teaching Assistant:Oscar VegaOffice hours: M 
Click here for syllabus in PDF format.
Frederick M. Goodman, Algebra: Abstract and Concrete, 2nd edition, Prentice Hall, 2002.


I. N. Herstein, Topics in Algebra, 2nd edition, JohnWiley 1975. (You can often find an inexpensive international edition at abebooks.com.) This text is recommended. 
Other recommended reading:
Artin, Algebra .
Vinberg, A Course in Algebra.
Jacobson, Basic Algebra I, 2nd edition.
There will be 8 to 12 written assignments. Details willappear here as the assignments are made. Please see the remarks on the syllabus about the standard of explanation expectedon the homework. For homwork solutions, see http://www.math.uiowa.edu/~ovega/algebra/ .
First assignment, Due Wednesday Aug. 31.
Section 1.3, Exercises 1,2,3
Section 1.4 , Exercises 1, 2, 3, 8 (For 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.)
2nd assignment, Due Friday Sept. 9
Section 1.5: Exercises 17, 12, 14
Section 1.6: Exercises 1, 3, 4b, 7, 10, 11
3rd assignment, Due Friday Sept. 16
Section 1.7, Exercises 5, 6, 1115
Section 1.8, Exercises 5, 6, 8, 9
4th assignment, Due Friday Sept. 23
Section 1.7: 4, 16
Section 1.8: 10 a , 15, 16
Section 1.10: 10
Section 2.1: 1113
5th assignment, Due Friday Sept. 30
Section 2.2: 11, 16, 17. 19, 25
Section 2.3: 1, 2, 9
Section 2.4: 1012, 20
6th assignment, Due Friday Oct. 7
Section 2.4: Exercises 14, 15
Section 2.5: Exercises 7, 8, 13, 14
Section 2.6: Exercises 2, 6
Section 2.7: Exercises 5, 6, 7
7th assignment, Due Friday Oct. 21
Section 3.1: Exercises 815
Section 3.2: Exercises 1, 46
Optional: Do the exercises on greatest common divisor in this handout.
8th assignment, Due Friday Oct. 28
Section 3.3: Exercises 1, 2, 4, 5, 8, 10
Section 5.1: Exercises 3, 6, 8, 12, 16, 20
9th assignment, Due Friday Nov. 4
Section 5.1: Exercises 17, 18, 19. (Exercise 20 was repeated, sorry.)
Section 5.4: Exercises 1, 2, 5, 6, 7, 8, 9
10th assignment, Due Monday Nov. 14
Section 5.3: Exercises 2, 7.
Section 5.4: Exercises 11, 12, 13, 14, 15.
Please note: I have changed the text on page 245 (about groups of order 28) and also the text of Exercise 5.4.14. So please print out pages 245247 again before doing these exercises.
11th assignment, Due Friday Dec 2
Section 6.1: Exercises 4, 13, 16
Section 6.2: Exercises 1, 2, 3, 11, 15 (The definition of idempotent is in exercise 12.), 22
Section 6.3: Exercises 2, 7, 8, 9
LAST assignment, Due Friday Dec 8
Section 6.4: Exercises 1, 2, 3, 10, 13
Section 6.5: Exercises 4, 5, 7, 10, 11, 12
CONGRATULATIONS, THAT’S THE END.
There will be two midterm exams, tentative dates:
There will be a comprehensive final exam (exam period 21 Thursday Dec. 15 at 12:00). The text of the exams will appear here after the exams havebeen done by all students.
Practice tests and reviews: