Mathematics

In this module you will learn about matrices and their applications, and you will begin your study of abstract algebra, including set theory and polynomials.

This module will present you with the tools and techniques needed to be able to rigorously treat mathematical ideas relating to real numbers, functions, sequences and series. 

This module aims to extend your knowledge of calculus, introducing new ideas such as complex numbers and partial differentiation. This forms the “toolkit” for many of your second-year modules. 

This module aims to introduce you to mathematical tools frequently used in modelling, including difference and differential equations. You'll explore a range of real-world problems to which mathematics can be applied and gain confidence in exploring mathematical models.

This module will teach you how to use a computer to solve mathematical problems, and will introduce you to a range of general skills which will be vital throughout your studies.  

This module aims to give you a grounding in basic concepts and techniques for applied statistics. This will include establishing the underlying concepts and probability theory behind statistical techniques. You will be introduced to aspects of inferential statistics and how these can be applied to answer statistical questions. You'll develop your practical skills, enabling you to tackle statistical problems with real world data.

This module will introduce you to a range of the most important structures in modern algebra, with a particular focus on “groups”. You will learn how to prove theorems about groups, and will study the link between groups and symmetry.  

This module presents you with a coherent development of the theory of ordinary differential equations, gives you a range of techniques for solving these equations, and explains the significance of particular equations in solving real-world problems. 

Cryptology is the mathematics behind making and breaking codes. In this module you will study the theory behind public-key cryptographic systems such as RSA and El Gamal, as well as making attacks on these systems with computer software. 

In this module you will learn about the fundamental mathematical ideas behind calculus. You will learn exactly why differentiation and integration work, and how to prove important theorems about these topics.  

Vector calculus is key to many areas of modern applied mathematics. In this module you will study the differentiation and integration of vector quantities, as well as developing an understanding of the theory behind different coordinate systems.  

Introduction to selected topics in the historical development of mathematics, showing mathematics as a global undertaking. Understand how mathematics is integrated throughout modern society, and consider the ethical implications of this.

This module will develop your ability to apply computers to solve mathematical problems. You will develop computer programming skills, as well as understanding the inherent limitations in computer-based calculations.

In this module you will extend your range of techniques for solving problems in probability and statistics, applying these to a broad range of scenarios.   

This module aims to offer you a positive experience of working with pupils and teachers and will help you gain confidence in communicating subject content. It will enable you to understand how to address pupils' needs and to develop educational projects appropriate to engage a relevant age groups.

This module will allow you to demonstrate your independence and your investigative skills, as you pursue guided research into an area of mathematics of interest to you. You will prepare a dissertation on your chosen topic, which may be in pure or applied mathematics or statistics.  

In this module you will study in-depth the type of algebraic structure called a “field”, with a particular focus on sub-fields of the complex numbers. You will see how Galois theory provides a link between fields and the groups which you studied in MA2811. 

This module explores how to add redundant information to a signal so that, after communication along a noisy channel, the original message can be reconstructed.  It features a blend of abstract mathematical ideas applied to practical problems, with a strong programming component.

This module focusses on the theory of complex numbers. You will learn about complex functions and the calculus of these functions, studying key theorems and learning to prove theorems for yourself. Finally, you will see how complex analysis can help solve problems with the real numbers.

In this module you will explore a range of techniques for solving partial differential equations analytically, and we see how these equations are applied to real-world problems. You will also learn the theory of integral transforms, and use these to solve more advanced equations.   

The aims of this module are to provide you with the mathematical ability to solve fluid-flow problems, providing you with insight and understanding of a wide range of fluid flows. You will also learn about the Navier-Stokes equations and turbulence.  

This module will show you how to apply calculus techniques from other modules to real-world problems related to biological systems. These include population dynamics and genetics, biological motion, and modelling the spread of infectious diseases.  

This module will show you how mathematics can be applied to decision-making, including project planning, network analysis, queuing, quality management in production processes, and analysing how systems (such as stock markets) change over time.