Mathematics modules

Browse Mathematics to find descriptions, what you will learn, how you will be taught, and how you will be assessed.

Level 1

  • Module

    Calculus II module (DI12001)

    • Module code: DI12001
    • Credits: 10
    • Level: 1
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Science and Engineering Mathematics 1A module (EG11003)

    Gain confidence with existing mathematical skills and a deeper understanding of mathematics to build a strong foundation for further mathematics modules.

    • Module code: EG11003
    • Credits: 20
    • Level: 1
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Science and Engineering Mathematics 1B module (EG12003)

    Gain the mathematical skills and knowledge needed to handle an engineering degree course and increase your confidence in using and understanding mathematics.

    • Module code: EG12003
    • Credits: 20
    • Level: 1
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Core Mathematics I module (MA11001)

    Learn algebra and differential calculus. This will include trigonometry, complex numbers, sequences, exponentials, logarithms, functions, and solving equations

    • Module code: MA11001
    • Credits: 20
    • Level: 1
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Fundamental Algebra and Calculus module (MA11002)

    This is a Maths revision module. It is intended to provide a refresh of maths taught at high school. This will give you a solid foundation for university maths

    • Module code: MA11002
    • Credits: 10
    • Level: 1
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Core Mathematics II module (MA12001)

    You will be introduced to matrices. You will also cover the use of vectors in 3D geometry, integral calculus, and basic differential equations

    • Module code: MA12001
    • Credits: 20
    • Level: 1
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Logic and Proof module (MA12002)

    This module provides an introduction to various areas of pure maths. These include logic, proof, group theory and number theory

    • Module code: MA12002
    • Credits: 10
    • Level: 1
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Statistics and Probability module (MA12003)

    Statistics and probability are used in science, engineering, medicine, and economics. Learn how to use them to draw accurate conclusions from data. 

    • Module code: MA12003
    • Credits: 20
    • Level: 1
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Discrete Mathematics module (MA12007)

    Explore logic, equations, game theory, and probability. You will be introduced to the powerful techniques of discrete mathematics

    • Module code: MA12007
    • Credits: 20
    • Level: 1
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics

Level 2

  • Module

    Mathematics 2A module (DI21009)

    • Module code: DI21009
    • Credits: 20
    • Level: 2
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Mathematics 2B module (DI22008)

    • Module code: DI22008
    • Credits: 20
    • Level: 2
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Statistics II module (DI22013)

    • Module code: DI22013
    • Credits: 20
    • Level: 2
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Mathematics for Engineers module (EG21005)

    Further develop your understanding of the basic mathematics most relevant to engineers.

    • Module code: EG21005
    • Credits: 20
    • Level: 2
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Core Mathematics III module (MA21001)

    Learn about generalised vector spaces and related concepts. You will continue work on calculus and differential equations from year 1 modules maths 1A and 1B

    • Module code: MA21001
    • Credits: 20
    • Level: 2
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Discrete Mathematics module (MA21003)

    Study several areas in discrete mathematics, which involves finite or countable structures, including difference equations, game theory, and combinatorics

    • Module code: MA21003
    • Credits: 20
    • Level: 2
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Core Mathematics IV module (MA22001)

    Properties of matrices including range, basis and eigenvalues. Calculus for functions of 2 variables including partial derivatives and integrals for 2D domains

    • Module code: MA22001
    • Credits: 20
    • Level: 2
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Statistics and Data Analysis module (MA22004)

    Use data from a sample of a population to deduce information about the whole population. Use the software package RStudio to do calculations with data

    • Module code: MA22004
    • Credits: 20
    • Level: 2
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Operational Research module (MA22005)

    Optimise real-world systems using maths. Learn the tools behind decision-making, resource planning, and transport logistics in this practical module.

    • Module code: MA22005
    • Credits: 10
    • Level: 2
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Linear Algebra module (MA22006)

    Discover the power of vector spaces, transformations, and diagonalisation in this module on linear algebra and its applications

    • Module code: MA22006
    • Credits: 10
    • Level: 2
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics

Level 3

  • Module

    Vector Calculus module (DI31010)

    • Module code: DI31010
    • Credits: 15
    • Level: 3
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Analysis module (DI31011)

    • Module code: DI31011
    • Credits: 15
    • Level: 3
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Complex Analysis module (DI32009)

    • Module code: DI32009
    • Credits: 15
    • Level: 3
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Differential Equations module (MA31002)

    Differential equations are equations that involve functions and their derivatives. They describe how a particular quantity changes over time or space

    • Module code: MA31002
    • Credits: 15
    • Level: 3
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Vector Calculus module (MA31007)

    Explore vector calculus which combines 3D geometry with calculus.

    • Module code: MA31007
    • Credits: 15
    • Level: 3
    • Semester: Semester 1, Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Real Analysis module (MA32001)

    Learn about analysis, an area of pure mathematics that other areas of maths build on.

    • Module code: MA32001
    • Credits: 15
    • Level: 3
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Operational Research module (MA32003)

    Operational Research looks for optimal solutions to complex real-life problems. It is a powerful approach that can help you work in many different sectors

    • Module code: MA32003
    • Credits: 15
    • Level: 3
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Scientific Computing and Numerical Methods module (MA32005)

    Solve real-world problems using MATLAB and numerical methods. Build coding, modelling, and simulation skills used in science, engineering, and tech

    • Module code: MA32005
    • Credits: 15
    • Level: 3
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Complex Analysis module (MA32006)

    Complex analysis studies functions of complex numbers. This module explores differentiation, integration, and series expansions of complex functions

    • Module code: MA32006
    • Credits: 15
    • Level: 3
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Optimisation in Finance and Industry module (MA32010)

    In this module, you will learn practical optimisation methods supported by a growing body of mathematical theory

    • Module code: MA32010
    • Credits: 15
    • Level: 3
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Dynamical Systems module (MA32011)

    Explore the maths behind systems that change over time. Study differential equations, stability, and bifurcations in physics, biology, and beyond

    • Module code: MA32011
    • Credits: 15
    • Level: 3
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Mathematics Work Placement module (MA33001)

    Gain experience applying mathematical knowledge in a professional environment. This will be in an industry such as finance, technology, research, or engineering

    • Module code: MA33001
    • Credits: 10
    • Level: 3
    • Semester: Runs during the summer
    • School: School of Science and Engineering
    • Discipline: Mathematics

Level 4

  • Module

    Graph Theory module (DI41011)

    • Module code: DI41011
    • Credits: 15
    • Level: 4
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Mathematics Project module (MA40001)

    You will investigate an area of maths. You will develop your logical, presentation and research skills. You will be supported throughout by your supervisor

    • Module code: MA40001
    • Credits: 30
    • Level: 4
    • Semester: Both Semester 1 and 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Ordinary Differential Equations and the Approximation module (MA41003)

    Explore Ordinary Differential Equations (ODEs), which are essential in science and engineering, and learn basic numerical methods to calculate the solutions

    • Module code: MA41003
    • Credits: 15
    • Level: 4
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Fluids and Magnetohydrodynamics module (MA41006)

    Explore the physics of fluids and plasmas. Study equations that explain ocean currents, aerodynamics, and solar flares in this applied maths module

    • Module code: MA41006
    • Credits: 15
    • Level: 4
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Graph Theory module (MA41007)

    Study the key properties of graphs and how to use theory of graphs to solve problems, and develop your approach to understanding theoretical results

    • Module code: MA41007
    • Credits: 15
    • Level: 4
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Partial Differential Equations and their Approximation module (MA42003)

    You will solve equations that involve partial derivative terms. Use approximation numerical techniques for solutions when equations can't be solved exactly

    • Module code: MA42003
    • Credits: 15
    • Level: 4
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Mathematical Statistics module (MA42008)

    Build on your previous knowledge of probability and statistics, learning about Statistical Estimation and Models using applications in the computer system R.

    • Module code: MA42008
    • Credits: 15
    • Level: 4
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics

Level 5

  • Module

    Project module (MA50001)

    You’ll explore a mathematical topic in depth, developing your logical, research, and presentation skills. You will be supported throughout by your supervisor.

    • Module code: MA50001
    • Credits: 45
    • Level: 5
    • Semester: Both Semester 1 and 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Stochastic Processes module (MA51005)

    Explore randomness and uncertainty through Markov chains, Brownian motion, and probabilistic models used across science and finance

    • Module code: MA51005
    • Credits: 15
    • Level: 5
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Optimization in Finance and Industry module (MA52004)

    You will study optimisation methods. These include linear and quadratic programming. Solve optimisation problems in financial portfolios and energy systems

    • Module code: MA52004
    • Credits: 15
    • Level: 5
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Mathematical Statistics module (MA52007)

    Build on your previous knowledge of probability and statistics, learning about Statistical Estimation and Models using applications in the computer system R.

    • Module code: MA52007
    • Credits: 15
    • Level: 5
    • Semester: Semester 1
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    Statistics and Data Analysis module (MA52008)

    This module focuses on providing you with the skills required to make inferences using sample data

    • Module code: MA52008
    • Credits: 20
    • Level: 5
    • Semester: Semester 2
    • School: School of Science and Engineering
    • Discipline: Mathematics
  • Module

    MSc Applied Data Science and AI Project module (MA53004)

    Work independently on a major research project in data science and AI. Solve real problems and learn to communicate your insights clearly.

    • Module code: MA53004
    • Credits: 60
    • Level: 5
    • Semester: Runs during the summer
    • School: School of Science and Engineering
    • Discipline: Mathematics