# MA 362: Elementary Modern Algebra II

Spring 2020

Max Kutler

## Overview

This is a second course in abstract algebra. Building on our study
of groups and rings in MA 361, we will describe a beautiful
relationship between group theory and field theory. This relationship,
called Galois theory, has many delightful applications. For instance,
we will see that some angles cannot be trisected using a ruler
and straightedge and that there is no general solution by radicals of
a polynomial equation of degree at least 5. A strong emphasis will be
placed on communicating mathematics clearly and effectively.

Course Syllabus

## Instructor

Max Kutler,
max.kutler(at)uky(dot)edu, POT 707.

Office hours: 3-4 PM MW, 11 AM-12 PM Th, and by appointment.

## Textbook

*A First Course in Abstract Algebra*, 7th ed., by John B. Fraleigh

For purchase: UK Bookstore,
Amazon

## Homework

Homework will be due each Friday at the
beginning of class.

You are encouraged to discuss the homework with other members of
the class. If you do so, you should acknowledge their assistance on
your submitted homework. Furthermore, you should feel free to use
sources beyond your textbook, personal notes, and past homework when
crafting your solutions. You must, however, cite any such sources, and
you must write up all of your final solutions on your own.