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

    Project (Mathematics) module (DI11005)

    • Module code: DI11005
    • Credits: 7.5
    • Level: 1
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Calculus II module (DI12001)

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

    Core Mathematics I module (MA11001)

    Build university-level foundations in functions, calculus, algebra, sequences, series, and problem-solving for mathematics, physics, and data careers

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

    Fundamental Algebra and Calculus module (MA11002)

    Build confidence in algebra, functions, trigonometry, vectors, differentiation, and integration for university-level study

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

    Core Mathematics II module (MA12001)

    Build powerful mathematical tools in calculus, geometry, vectors, and matrices for advanced study in mathematics, physics, and modelling

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

    Logic and Proof module (MA12002)

    Learn how to construct mathematical proofs using logic, truth tables, induction, contradiction, and apply them to number theory

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

    Statistics and Probability module (MA12003)

    Learn how to analyse data, understand probability, and model uncertainty using statistics, with applications in science, finance, and real-world decisions

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

    Discrete Mathematics module (MA12007)

    Study set theory, combinatorics, game theory, and group theory, building problem-solving skills for data science and pure mathematics

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

Level 2

  • Module

    Discrete Mathematics module (DI21005)

    • Module code: DI21005
    • Credits: 20
    • Level: 2
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Mathematics 2A module (DI21009)

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

    Mathematics 2B module (DI22008)

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

    Statistics II module (DI22013)

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

    Core Mathematics III module (MA21001)

    Study advanced calculus and linear algebra, including vector spaces, eigenvalues, epsilon-delta proofs, and functions of two variables

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

    Mathematics of Networks module (MA21004)

    Study graph theory, network algorithms, Python visualisation, shortest paths, graph colouring, and real-world network applications

    • Module code: MA21004
    • Credits: 20
    • Level: 2
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Core Mathematics IV module (MA22001)

    Study vector calculus, Fourier series, and partial differential equations, building powerful tools for mathematical and physical modelling

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

    Statistics and Data Analysis module (MA22004)

    Learn statistical data analysis with R, including visualisation, hypothesis testing, regression, and evidence-based decision-making

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

    Linear Algebra module (MA22006)

    Study linear algebra, including vector spaces, matrices, transformations, eigenvalues, diagonalisation, and applications in data and graphics

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

Level 3

  • Module

    Differential Equations module (DI31009)

    • Module code: DI31009
    • Credits: 15
    • Level: 3
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Vector Calculus module (DI31010)

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

    Analysis module (DI31011)

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

    Operational Research module (DI31012)

    • Module code: DI31012
    • Credits: 15
    • Level: 3
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Complex Analysis module (DI32009)

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

    Differential Geometry module (DI32010)

    • Module code: DI32010
    • Credits: 15
    • Level: 3
    • Semester: Semester 2
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Mathematical Biology I module (DI32011)

    • Module code: DI32011
    • Credits: 15
    • Level: 3
    • Semester: Semester 2
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Differential Equations module (MA31002)

    Study differential equations, including analytical methods for first and second order ODEs, systems of equations, and applications to modelling change

    • Module code: MA31002
    • Credits: 20
    • Level: 3
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Artificial Intelligence and Machine Learning module (MA31008)

    Study artificial intelligence and machine learning, including SQL, search, planning, deep learning, prediction, and practical AI tools

    • Module code: MA31008
    • Credits: 10
    • Level: 3
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Mathematics for Industry module (MA31009)

    Apply mathematics to real-world industry problems, developing modelling, analysis, communication, and professional reporting skills

    • Module code: MA31009
    • Credits: 10
    • Level: 3
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Real Analysis module (MA32001)

    Study real analysis, including limits, continuity, convergence, metric spaces, compactness, and rigorous proof in pure mathematics

    • Module code: MA32001
    • Credits: 20
    • Level: 3
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • 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: 20
    • Level: 3
    • Semester: Semester 2
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Complex Analysis module (MA32006)

    Study complex analysis, including complex functions, Cauchy–Riemann equations, contour integrals, residues, and conformal mapping

    • Module code: MA32006
    • Credits: 10
    • Level: 3
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • 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: 20
    • Level: 3
    • Semester: Semester 2
    • Faculty: Faculty of Science, Engineering, and Business
    • 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: 20
    • Level: 3
    • Semester: Semester 2
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Mathematics Work Placement module (MA33001)

    Gain academic credit for an approved mathematics work placement or internship while developing professional skills and career confidence

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

Level 4

  • Module

    Graph Theory module (DI41011)

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

    Mathematics Project module (MA40001)

    Complete an independent mathematics project with academic supervision, developing research, technical writing, and presentation skills

    • Module code: MA40001
    • Credits: 40
    • Level: 4
    • Semester: Both Semester 1 and 2
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Mathematics Project (Joint Honours) module (MA40005)

    Complete an independent mathematics project with academic supervision, developing research, technical writing, and presentation skills

    • Module code: MA40005
    • Credits: 20
    • Level: 4
    • Semester: Both Semester 1 and 2
    • Faculty: Faculty of Science, Engineering, and Business
    • 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: 20
    • Level: 4
    • Semester: Semester 2
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Mathematical Biology module (MA41008)

    Study mathematical biology, using differential equations to model populations, epidemics, pattern formation, travelling waves, and nerve signals

    • Module code: MA41008
    • Credits: 20
    • Level: 4
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • 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
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Mathematical Statistics module (MA42008)

    Study advanced mathematical statistics with R, including probability distributions, estimation, hypothesis testing, regression, and generalised linear models

    • Module code: MA42008
    • Credits: 20
    • Level: 4
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Differential Equations and their Approximation module (MA42009)

    Study numerical methods for differential equations, including ODEs, PDEs, finite differences, stability, convergence, and error analysis

    • Module code: MA42009
    • Credits: 20
    • Level: 4
    • Semester: Semester 2
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics

Level 5

  • Module

    Research Project (Integrated Masters) module (MA50001)

    Complete an independent mathematics project with academic supervision, developing research, technical writing, and presentation skills

    • Module code: MA50001
    • Credits: 40
    • Level: 5
    • Semester: Both Semester 1 and 2
    • Faculty: Faculty of Science, Engineering, and Business
    • 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: 20
    • Level: 5
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics
  • Module

    Mathematical Statistics module (MA52007)

    Study Master’s level mathematical statistics with R, including probability distributions, estimation, hypothesis testing, regression, and generalised linear models

    • Module code: MA52007
    • Credits: 20
    • Level: 5
    • Semester: Semester 1
    • Faculty: Faculty of Science, Engineering, and Business
    • 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
    • Faculty: Faculty of Science, Engineering, and Business
    • 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
    • Faculty: Faculty of Science, Engineering, and Business
    • Discipline: Mathematics