Math 330/MthT 435
Abstract Algebra
Fall 2002
MWF 1:00 LC E2
Instructor David Marker
 Office: 411 SEO
 Office Phone: (312) 9963069
 Office Hours: M 911, W 121 and by appointment
 Fax: (312) 9961491
 email: marker@math.uic.edu
 web page:
http://www.math.uic.edu/~marker
 course web page: http://www.math.uic.edu/~marker/math330
Text
J. Gallian, Contemporary Abstract Algebra,
Fifth Edition, Houghton Mifflin Company, Boston 2002.
Prerequisites
Grade of C or better in Math 215 Introduction to Advanced
Mathematics and a grade of C or better in Math 320 Linear Algebra I. I will
assumethat you are comfortable and competent writing proofs. In particular
I expect you to already be familiar with the material in Chapter 0 of
the text.
Description
This is a first course in Abstract Algebra. We will
study the basic properties of groups, rings and fields. We will hopefully
cover most of Chapters 223 of the text.
Here is a list of exactly the material that will be covered.
Grading
There will be one midterm and a final exam.
The midterm willcount for 30% of the final grade. The final will
count for 50% of thefinal grade. Homework will count for 20% of the
final grade.
The midterm exam is scheduled for Friday October 18.
The midterm will cover Chapters 110 of the text.
The final exam will be on Friday December 13 1:003:00.
Software
The author's
website http://www.d.umn.edu/~jgallian/msproject/project_xukai.html
has useful software for doing instrutive computations.
Handouts
Practice Problems
I will assign practice problems for all sections. While practice problems
will not be collected or graded they will usually have answers or hints in
the back of thebook for you to check. Doing problems is the way to learn
mathematics.So while the practice problems will not effect your grade,
you should not consider them "optional".
 Chapter 0: # 3, 7, 13, 21, 27, 47
 Chapter 1: # 1, 3, 5, 7, 9, 21
 Chapter 2: # 1, 3, 5, 919(odd),29,33
 Chapter 3: # 1, 9, 11 , 13, 15, 17, 21, 29, 33, 49
 Chapter 4: # 19 (odd), 15, 17, 19 ,21, 27
 Suplementary Problems (pg 8990): # 1, 5, 7, 9, 11
 Chapter 5: # 1, 3, 5, 7, 9, 19, 23, 25, 33
 Chapter 6: # 1, 3, 5, 7, 13, 15, 17, 23, 25, 27
 Chapter 7: # 1, 7, 9, 11, 13, 15, 19, 21, 23, 25
 Chapter 8: #117 odd
 Chapter 9: #117 odd
 Chapter 10: # 123 odd
 Chapter 11: # 121 odd
 Chapter 12: # 1,3 9, 11, 1525 odd
 Chapter 13: # 321 odd
 Chapter 14: # 123 odd
Homework
Homework assignments will be collected and
graded.Almost all homework assignments will be writing proofs.The homework will
count for 20% of your final grade.I will drop one homework grade. Late
homework will be accepted up untilthe begining of the next class period, but
will be penalized.
You may discuss homework problems with other
students, but you must writeup your solution
independently. All proofs should be written neatly with complete
gramatical sentences.
 Problem Set 1: (Due Friday August 30)
 Problem Set 2: (Due Friday September 6)
 Chapter 1: # 10
 Chapter 2: # 6, 18, 34
 solutions (pdf file)

Problem Set 3: (Due Friday September 13)
 Chapter 3: # 14, 30, 42
 Supplementary Problems (pg 89): # 2
 solutions (pdf file)
 Problem Set 4: (Due Friday September 20)
 Chapter 4: # 14, 30, 48
 Chapter 5: # 6, 18
 solutions (pdf file)
 Probelm Set 5: (Due Friday September 27)
 Chapter 5: # 36, 42
 Chapter 6: # 22, 26, 30
 solutions (pdf file)
 Problem Set 6: (Due Friday October 4)
 Chapter 7: # 8, 14, 26, 30, 38 (bonus problem 28)
 solutions (pdf file)
 Problem Set 7: (Due Friday October 11)
 Chapter 8: # 22, 26
 Chapter 9: # 10, 22, 47
 solutions (pdf file)
 Problem Set 8: (Due Friday October 25)
 Chapter 10: # 16, 20, 22
 Chapter 11: # 10, 12
 solutions (pdf file)
 Problem Set 9: (Due Friday November 1 )
 Chapter 12: # 22, 40
 Chapter 13: # 22, 34, 38
 solutions (pdf file)
 Problem Set 10: (Due Friday November 8)
 Chapter 14: # 10, 24, 38, 45
 solutions (pdf file)
 Problem Set 11 (Due Friday November 15) (gif file)
 Problem Set 12: (Due Friday November 22)
 Chapter 16: 12, 20, 30,
 Chapter 17: 14, 22
 solutions (pdf file)
 Problem Set 13: (Due Wednesday December 3)
 Chapter 18: 4, 30
 Chapter 20: 4, 8, 10
 solutions (pdf file)
Last revised: 12/9/02