Teaching and assessment for Mathematics MMath (Hons)

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Teaching

You will learn by methods such as:

lectures
tutorials
workshops
computer assisted learning

We also teach the use of professional mathematical software packages. This will allow you to explore mathematics far beyond the limits of traditional teaching. This also prepares you for the way in which mathematicians work across various industries.

Assessment

Our assessment methods include:

examination
continuous assessment
homework
computer assignments
class tests
projects

Modules

The list of optional modules on this page is focused on one subject however at Levels 1 and 2 you are able to choose from over 200 modules across subjects including Engineering, Computing, History, Biology, English, and more.

Your adviser of studies will let you know the full list of options and help you choose.

Core Modules

These modules are an essential part of your course.

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Module code: MA11001 Credits: 20 Semester: Semester 1

Mathematics 1A is an introductory mathematics module.

It covers fundamental concepts such as algebra, calculus, and geometry.

The topics covered provide a solid foundation for more advanced studies. Skills covered include:

learning to solve equations
understand functions
analyse graphs

Mathematics 1A full module details

Module code: MA11002 Credits: 20 Semester: Semester 1

Algebra involves manipulating expressions and solving equations.

Calculus focuses on change and motion, with methods to analyse rates of change and calculate areas under curves.

This module provides a refresh of the maths taught at high school. This will give you the best chance of success with university mathematics.

Fundamental Algebra and Calculus full module details

Module code: MA12001 Credits: 20 Semester: Semester 2

Mathematics 1B builds on the foundational concepts introduced in Mathematics 1A. You will be introduced to matrices. You will learn about the use of vectors in 3D geometry, integral calculus, and basic differential equations. It ensures you are well-prepared for future studies in a maths or other numerate degree courses.

Mathematics 1B full module details

Module code: MA12002 Credits: 20 Semester: Semester 1

This module provides an introduction to logic, proof, group theory, and number theory. Proofs are arguments that show that a mathematical statement is true. Number theory is an area of maths where we restrict the numbers used to whole numbers only. Logic underpins proof, and group theory studies algebraic structures.

Topics in Pure Mathematics full module details

Module code: MA12003 Credits: 20 Semester: Semester 2

This module introduces you to statistics and probability. Statistics is the science of collecting, analysing, and interpreting data, and is used to draw conclusions from data. Probability is the study of chance and randomness which can be used to predict the likelihood of an event occurring.

Statistics and Probability full module details

Module code: PH11002 Credits: 20 Semester: Semester 1

This module helps you develop the practical skills needed as a physics student and future professional physicist. It also provides an insight into cutting-edge research problems and the industrial value of physics. It explores the definition of physics itself, and what makes science distinct from opinion.

Professional Physics full module details

Core Modules

These modules are an essential part of your course.

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Module code: MA21001 Credits: 20 Semester: Semester 1

Mathematics 2A full module details

Module code: MA22004 Credits: 20 Semester: Semester 2

You will learn to use data from a sample of a population to deduce information about the average properties of the whole population.

You will also learn how to use the software package RStudio to do calculations with data.

Statistics II full module details

Optional Modules

You need to choose one or more of these modules as part of your course.

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Module code: MA21003 Credits: 20 Semester: Semester 1

Discrete mathematics involves the study of structures that are either finite or have a form like the set of whole numbers.

This module introduces several areas of discrete mathematics. including difference equations, game theory, and combinatorics.

Discrete Mathematics full module details

Core Modules

These modules are an essential part of your course.

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Module code: MA31002 Credits: 15 Semester: Semester 1

This module explores an area of calculus involving derivatives of functions. Derivatives give the rate of change of a function. For example, speed is the rate of change of distance, while acceleration is the rate of change of speed. Differential equations are equations that involve functions and their derivatives.

Differential Equations full module details

Module code: MA31007 Credits: 15 Semester: Semester 1

This module explores vector calculus, which is an area of mathematics that combines 3D geometry with calculus. Vector calculus is concerned with differentiation and integration of functions in 3D space. It can apply to either scalar-valued functions or vector-valued functions.

Vector Calculus full module details

Module code: MA32001 Credits: 15 Semester: Semester 1

This module examines analysis, which is an area of pure mathematics forming the foundation for other areas of maths. The concept of convergence is also covered, which forms part of the framework used by computers to solve complicated equations for mathematical models in physics, biology, and economics.

Analysis full module details

Module code: MA32003 Credits: 15 Semester: Semester 2

Operational Research (OR) is a branch of applied mathematics. It looks for optimal solutions to complex real-life problems.

Business, industry, government, military, health and other sectors rely on OR for decision making . These decisions can have enormous financial implications.

Operational Research full module details

Module code: MA32005 Credits: 15 Semester: Semester 2

Scientific computing offers tools, techniques, and theories that enable computer-assisted solutions to complex problems.

This introductory module explores numerical linear algebra and how computations work in practice. You will use MATLAB to develop algorithms for the numerical solution of important scientific problems.

Fundamentals of Scientific Computing full module details

Module code: MA32006 Credits: 15 Semester: Semester 1

Complex numbers are an extension of the real numbers that we use every day. Complex analysis is a branch of maths that studies functions of complex numbers. It extends the concepts of calculus to the complex plane. This module explores properties of complex functions, including differentiation, integration, and series expansions.

Complex Analysis full module details

Optional Modules

You need to choose one or more of these modules as part of your course.

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Module code: MA33001 Credits: 10 Semester: Runs during the summer

You will gain hands-on experience applying your mathematical knowledge in a professional environment. You'll work with an organisation in an industry such as finance, technology, research, or engineering. This will allow you to tackling real-world problems. You will make use of analytical and computational skills that you have previously gained.

Mathematics Work Placement full module details

Core Modules

These modules are an essential part of your course.

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Module code: MA40001 Credits: 30 Semester: Both Semester 1 and 2

You will independently study a specific mathematical topic. This will allow you to become a logical problem solver. These skills are highly sought after in a wide range of industries.

PTS and Project Work full module details

Module code: MA41003 Credits: 15 Semester: Semester 1

This module explores calculus, specifically to find derivatives of functions. Ordinary Differential Equations (ODEs) are equations involving derivative terms.

Very few ODEs can be solved exactly, so methods have been developed to find approximate solutions. In this module, you will learn the basic numerical methods for calculating these approximate solutions.

Ordinary Differential Equations and the Approximation full module details

Module code: MA42003 Credits: 15 Semester: Semester 2

Derivatives give the rate of change of a function. If functions have more than one input variable then this gives partial derivatives. Partial differential equations (PDEs) are equations involving partial derivative terms. In this module, you will be given a broad introduction to PDEs.

Partial Differential Equations and their Approximation full module details

Optional Modules

You need to choose one or more of these modules as part of your course.

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Module code: MA41007 Credits: 15 Semester: Semester 1

Graph theory is an area of pure mathematics that can be applied to networks and structures.

This module will introduce you to the key properties of graphs and allow you to use theory of graphs to solve real-world problems.

Graph Theory full module details

Module code: MA42008 Credits: 15 Semester: Semester 1

Mathematical Statistics is the application of probability theory to statistics. This is an important area, providing useful connections to other areas of Mathematics. Mathematical Statistics has applications across the sciences, business, government, and more. It is a core topic in the growing area of Data Science.

Mathematical Statistics full module details