**Course meets: **MW 11am, Shanahan 3465

**Office Hours: **Tuesdays 9am-10am and 3pm-4pm, or by appointment.

**Grader: **Ryan O’Dowd, ryan.o’dowd@cgu.edu

The main topics of this course will be field extensions and Galois Theory, and additional topics as time permits.

## Required Text

Dummit and Foote, *Abstract Algebra* (3rd edition). Doing the reading will be essential for success in this course. Also as a second-semester course, I will expect a certain level of mathematical maturity. This means that sometimes I will not prove simple statements in class; you should get in the habit of working out some details for yourself, and doing the reading.

## Prerequisite

Algebra I (Math 171)

## Grading Policy

A midterm (25%), a final (25%) and a homeworks (25%) with the lowest homework score dropped, and the strongest component of the three will be worth 50%.

## Honor Code

All are expected to abide by the HMC honor code. Though cooperation on homework assignments is encouraged, you are expected to **write up all your solutions individually**. It is appropriate to acknowledge the assistance of others. Part of the fun of this course is the struggle, as well as the joy of discovering the solution for yourself. **Please note: using solutions found online or solutions of previous students will be regarded as a violation of the HMC Honor Code and will be handled accordingly. **I encourage you instead to discuss the ideas with me or each other!

## Homeworks

Homeworks, assigned weekly, turn in Wednesdays (in class) or by 4pm in the bin outside my office door. Homeworks will be announced on this webpage.

**On Learning:** Read this article by Carol Dweck.

**On Writing Mathematics Well:** Read my handout on good mathematical writing.

**LaTeX homework sets**, courtesy of Luis Ramirez, may be found here: (but you are responsible for checking they are correctly transcribed): https://github.com/magh-marshmallow/Galois_HM