GALOIS THEORY

GALOIS THEORY
Course Code
MX 4082
Credit Points
15
Course Coordinator
Dr T Le

Pre-requisites

MX 3531

Overview

The roots of a quadratic polynomial are given by a formula involving the coefficients. Similar formulae exist for the roots of polynomial equations of degrees 3 and 4, but not for higher degrees. The precise relationship between a polynomial and the type of roots it has emerges as one of the consequences of Galois Theory, which is a unification of ideas embracing polynomials, fields and group theory. The course will also consider the classical ruler and compass constructions.

Structure

12 week course - 2 one-hour lectures and 1 one-hour tutorial per week.

Assessment

1st Attempt: 1 two-hour examination (80%) and in-course assessment (20%).

Resit: If required and permitted by Regulations, there will be 1 two-hour written examination. The CAS mark will be based on the maximum of examination (100%) and examination (80%) together with in-course assessment (20%).