Foundations of Pure Mathematics

This module provides a foundation for all subsequent modules in Pure Mathematics. All of Pure Mathematics is written in the language of sets, functions and relations, and a large part of the module is devoted to gaining familiarity with both reading and writing this language.There will be an introduction to some basic counting principles, and the most important number systems will be introduced. Along the way, a variety of useful and interesting facts will be discussed. The module will include formal proofs and students will be given practice in writing proofs themselves. Topics to be covered will include:• counting problems, binomial coefficients;• the language of set theory;• relations and functions;• countable and uncountable sets.This module is aimed at first-year honours mathematics university students. However, pre-university students (including keen GCSE students) may find that much of the material is accessible. Dr Joel Feinstein is an Associate Professor in Pure Mathem