University of St Andrews - Scotland's first university, founded 1413

Module Catalogue

For information on which modules are specific to your programme, please see : Programme requirements index 2018-2019.

Curricular information may be subject to change.

MT5836 Galois Theory

Academic year(s): 2018-2019

Key information

SCOTCAT credits : 20

ECTS credits : 10

Level : SCQF level 11

Semester: 2

Availability restrictions: Not automatically available to General Degree students

Planned timetable: 11.00 am Mon (odd weeks), Wed and Fri

Galois theory is one of the most beautiful areas of mathematics, establishing a remarkable connection between the theory of polynomial equations and their roots and group theory. The subject brings together ideas from the theory of groups and fields in a powerful way, culminating in Galois' fundamental theorem. There are many applications of the work, for example demonstrating that certain ruler and compass constructions are impossible, and that there is no general formula for the solution of quintic equations.

Relationship to other modules

Pre-requisite(s): Before taking this module you must pass MT3505 or pass MT4517

Learning and teaching methods and delivery

Weekly contact: 2.5 lectures (weeks 1 - 10) and 10 tutorials/practical classes over semester.

Scheduled learning hours: 35

Guided independent study hours: 165

Assessment pattern

As used by St Andrews: 2.5-hour Written Examination = 100%

As defined by QAA
Written examinations : 100%
Practical examinations : 0%
Coursework: 0%

Re-assessment: 2.5-hour Written Examination = 100%

Personnel

Module teaching staff: Dr M Quick