Modern Algebra and Geometry II
MATH 4010/6010
University of Georgia, Spring 2009

Professor Clint McCrory
Office: 402 Boyd Graduate Studies Research Center, 706-542-2576
Home: 390 Franklin St., Athens 30606, 706-353-6517
Email: clint at math dot uga dot edu

Class meetings
Tuesday and Thursday 9:30-10:45
303 Boyd Graduate Studies Research Center

Office hours
Monday-Wednesday-Friday 1:30-2:30
Tuesday-Thursday 12:30-2:00
or by appointment.

Prerequisites
MATH 4000/6000 (The prerequisites for MATH 4000/6000 are MATH 3000 (Linear Algebra) and MATH 3200 (Introduction to Higher Mathematics).)

Syllabus
The required textbook is Abstract Algebra: A Geometric Approach, by T. Shifrin. We will cover chapters 6 and 7: Groups, Group Actions and Symmetry.

Exams, homework, and grading
There will be two in-class exams and a final exam. Homework will be assigned every week. Your grade will be based on the exams, homework, and class participation. The two exams will count 25% each, homework will count 25%, and the final exam will count 25%. Class participation will be considered in borderline cases.

Problem sets 1, 2, 3, 4, 5
Exam 1 review
Problem sets 6, 7, 8
Exam 2 review
Problem set 9

Exam 1: Thursday, February 19, Solutions.
Exam 2: Thursday, April 9, Solutions.
Final exam review session: Friday, May 1, 11:15 - 12:05 pm, room 304 Boyd.
Final Exam: Thursday, May 7, 8:00 - 11:00 am, Solution Guide.

Notes from class
Icosa is simple
Roots and coefficients of polynomials
Background on field extensions

Useful links and references
Niels Henrick Abel
Emmy Noether
The Monster Group
Five tetrahedra
Ludwig Sylow
Textbook errata - In particular, note the corrections for Galois theory (pages 262-282).

All academic work must meet the standards contained in the document A Culture of Honesty. Students are responsible for informing themselves about those standards before performing any academic work.

This page was created on January 3, 2009. It was last modified on May 11, 2009.