Fall 2018

Galois Theory

Listed in: Mathematics and Statistics, as MATH-410

Moodle site: Course

Faculty

David A. Cox (Section 01)

Description

The quadratic formula shows us that the roots of a quadratic polynomial possess a certain symmetry. Galois Theory is the study of the corresponding symmetry for higher degree polynomials. We will develop this theory starting from a basic knowledge of groups, rings, and fields. One of our main goals will be to prove that there is no general version of the quadratic formula for a polynomial of degree five or more. Along the way, we will also show that a circular cake can be divided into 17 (but not 7) equal slices using only a straight-edged knife. 

Requisite: MATH 350 or consent of the instructor. Fall semester.  Professor Cox.

Cost: 75 ?

Keywords

Quantitative Reasoning

Offerings

2018-19: Offered in Fall 2018
Other years: Offered in Fall 2013, Spring 2016