# Galois theory for PROMYS

At PROMYS 2018, I am teaching a course for advanced students on Galois
theory. This webpage exists to post the problem sets and handouts.

### Problem Sets

Problem Set 1, due Thursday July 5

Problem Set 2, due Monday July 9

Problem Set 3, due Thursday July 12

Problem Set 4, due Monday July 16

Problem Set 5, due Monday July 23

Problem Set 6, due Thursday July 26

Problem Set 7, due Monday July 30

Problem Set 8, due Thursday August 2

Problem Set 9, due Monday August 6

Open Door Set.

### Handouts

The cubic formula

The quartic formula

Bonus problem set on the fundamental theorem of
symmetric functions

The axioms of a field

Some key lemmas proved in
class

Addition and multiplication tables for the
fields with 4 and 8 elements

Constructing the 17-gon.