MATH 4000/6000: Abstract Algebra
Fall 2011
Instructor: William Graham
Oce: Boyd Graduate Studies Building 505
Phone/email/web: 542-2560; [email protected]; www.math.uga.edu/wag
Oce hours: Tuesdays and Wednesdays, 4-5 pm. Dr. Rumely is teaching the other
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A quick guide to LTEX
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What is L TEX?
Text decorations
Lists
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L TEX(usually pronounced LAY teck, sometimes LAH
teck, and never LAY tex) is a mathematics typesetting
program that is the standard for most professional
mathematics writing. It is based on
Modern Algebra and Geometry I
Math 4000/6000 (92-321)
Homework Assignments 8A and 8B Due Friday, February 24
Homework is due at the start of class. Work that is not turned in at the beginning of class is
considered late, and will not generally be accepted
Modern Algebra and Geometry I
Math 4000/6000 (92-321)
Homework Assignment 7A Due Monday, February 20
Homework is due at the start of class. Work that is not turned in at the beginning of class is
considered late, and will not generally be accepted. Write
Modern Algebra and Geometry I
Math 4000/6000 (92-321)
Homework Assignments 6A and 6B Due Friday, February 10
Homework is due at the start of class. Work that is not turned in at the beginning of class is
considered late, and will not generally be accepted
Modern Algebra and Geometry I
Math 4000/6000 (92-321)
Homework Assignments 5A and 5B Due Friday, February 3
Homework is due at the start of class. Work that is not turned in at the beginning of class is
considered late, and will not generally be accepted.
Modern Algebra and Geometry I
Math 4000/6000 (92-321)
Homework Assignments 4A and 4B Due Friday, January 27
Homework is due at the start of class. Work that is not turned in at the beginning of class is
considered late, and will not generally be accepted.
Modern Algebra and Geometry I
Math 4000/6000 (92-321)
Homework Assignments 3A and 3B Due Friday, January 20
Homework is due at the start of class. Work that is not turned in at the beginning of class is
considered late, and will not generally be accepted.
Modern Algebra and Geometry I
Math 4000/6000 (92-321)
Homework Assignments 2A and 2B Due Friday, January 13
Homework is due at the start of class. Work that is not turned in at the beginning of class is
considered late, and will not generally be accepted.
Modern Algebra and Geometry I
Math 4000/6000 (92-321)
Homework 1 Due Wednesday, January 11
1. Read the syllabus and the list of student learning outcomes posted on the course web page.
http:/www.math.uga.edu/~cdrup/teaching/math4000sp2012/index.html
We wi
Individual homework solutions will be assigned scores between 0 and 5 based on the following guide:
5: The solution is completely correct and well-written.
4: There is a minor oversight or the solution is not well-written.
3: Most of the correct ideas are
Glossary of Proof Terms
Modern Algebra, Fall 2011
The language of mathematical proofs can sometimes be confusing, since some words and
phrases have peculiar meanings dierent from their meanings in ordinary English. Here is a
list of some phrases and the m
Elements of Style
Modern Algebra, Fall 2011
Anders O.F. Hendrickson
Years of elementary school math taught us incorrectly that the answer to a math problem
is just a single number, the right answer. It is time to unlearn those lessons: those days are
over
Anatomy of a Proof
Task: Prove that S = for every set S.
Anatomy of a Proof
Task: Prove that S = for every set S.
Claim: Let S be a set. Then S = .
Proof: Let S be a set.
() Suppose x S . Then x S and x ,
so in particular x . Therefore S .
() Because has
Finding the Next Step
Modern Algebra, Fall 2011
It is bound to happen in this class. You understood everything in class and in the textbook, you can follow along when the professor shows a proof on the board, but youre staring
at a homework exercise that