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INTRODUCTION TO MODERN ALGEBRA
(MATH 3163-003, Fall 2010)

Instructor: Gábor Hetyei
Office: Fretwell 335F, Phone: 704-687-2543, E-mail: ghetyei@uncc.edu
Office hours: MW 2:00-3:00 pm or by appointment (eventual changes will be announced in class).
Text: Abstract Algebra: An Introduction, 2nd Edition, by Thomas Hungerford ISBN: 978-0-03010559-3.
Some information may be provided on supplementary handouts, and you can not expect everything told in the lecture to be found in the book. Attendance is mandatory!
Prerequisites: MATH 1242 or MATH 2164 with a grade of C or better or consent of the department.
Topics: Chapter 1: Arithmetic in Revisited.
Chapter 2: Congruence in and Modular Arithmetic.
Chapter 3: Rings.
Chapter 4: Arithmetic in F[x].
Chapter 5: Congruence in F[x] and Congruence-Class Arithmetic.
Chapter 6: Ideals in Quotient Fields.

Time permitting, and depending on the interest of the audience, we will also cover some of Chapter 7 (Groups).
Test Dates:
Test 1 Monday, September 27, 2010.
Test 2 Monday, November 1, 2010.
Final Exam Monday, December 13, 5:00 - 7:30 p.m.
(Double-check in the UNCC Exam schedule !)
The final exam will be cumulative.
Homework: Homework will be assigned every day, and will be usually collected once every week. I will make an effort to regularly post the homework on the webpage
http://www.math.uncc.edu/~ghetyei/courses/3163/hw.html
In case of discrepancy, what I said in class is "official". The number of exercises per week will be low, but I will expect a detailed writeup. Keep in mind that this is a writing intensive class. Past due assignments will be rejected unless a formal excuse letter written by a University official, an actual M.D., or some equally serious authority is provided.
Evaluation: Grades will be based on: 23% for the homework, 22% for each of the tests, and 33% for the final.
Class meeting: Mondays and Wednesdays 5:00 - 6:15 pm in Fretwell 306.
Homepage: http://www.math.uncc.edu/~ghetyei/courses/3163/index.html