MATHEMATICS|PURE MATHEMATICS|ALGEBRA|GROUPS|FIELDS|SOLUBILITY BY RADICALS|GALOIS GROUP

Galois theory is a very elegant piece of mathematics, bringing together ideas from group theory, ring theory and linear algebra. It can be used to solve...

Galois theory is a very elegant piece of mathematics, bringing together ideas from group theory, ring theory and linear algebra. It can be used to solve classical geometric problems such as whether there is a construction for trisecting angles, using ruler and compasses. It can also be used to analyse the question of "solubility by radicals", i.e. the question of whether there are formulae (like the quadratic formula) for the solution of equations of higher degree than 2. The course is based around a set book, Galois Theory by Ian Stewart. Considerable participation is expected from students: there will be collaborative work and exercises in class and 10 percent is assigned to a small group project towards the end of course, assessed by means of a short presentation. There is also a 10 percent coursework component. The normal pre-requisites are a good grasp of basic linear algebra and some knowledge of group theory and a little ring theory. You also need to be reasonably happy dealing with fairly abstract algebraic ideas and reasonably complicated algebraic calculations. All the background needed is covered in Algebra 4.

The primary focus of this module is to present the scientific basis of prevention, early diagnosis, care and survivorship in breast, ovarian/fallopian tube,...

CORPORATE FINANCE|FINANCIAL MARKETS|FINANCIAL VALUATION|ASSET PRICING|PORTFOLIO ANALYSIS

The objective of the first part of the module is to provide students with an overview of the main principles of corporate finance. Understanding of corporate...

This module will cover sexual health and wellbeing, gender, sex and sex variation, sexuality, relationships, sexual difficulty, reproductive choice. The module...

This module will cover sexual health and wellbeing, gender, sex and sex variation, sexuality, relationships, sexual difficulty, reproductive choice. The module addresses sexual health in society, helping students to understand how power and social forces impact on sexual health (e.g. colonial history and racism, social expectations regarding sex, gender and relationships).

The module addresses patient perspectives throughout, e.g. what it's like seeking health services as someone who is intersex, trans or non-binary.

For the assignment, students will develop a piece of science communication on a sexual health topic (a health education poster) for patients, the public, clinicians, or policy-makers.