Key details 


Start Year
Full Time
Degree of Master of Mathematics
UCAS course code
Entry Requirements
Duration (years)

Assessment for Year 1

The assessment methods we use are determined by the module in question. Most of the modules within the School of Mathematics combine 80% examination and 20% coursework.  

The coursework component is based on examples given on problem sheet, which will be handed in, marked and returned, together with the solutions and feedback. For some modules there are also programming assignments and/or class tests.  

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Assessment for Year 2

The assessment methods we use are determined by the module in question. Most of the modules within the School of Mathematics combine 80% examination and 20% coursework.  

The coursework component is based on examples given on problem sheet, which will be handed in, marked and returned, together with the solutions and feedback. For some modules there are also programming assignments and/or class tests.  

September 2023 opportunities. Discover more   
Register interest   
Open Days   
September 2023 opportunities. Discover more   
Register interest   
Open Days   

Assessment for Year 4

The assessment methods we use are determined by the module in question. Most of the modules within the School of Mathematics combine 80% examination and 20% coursework.  

The coursework component is based on examples given on problem sheet, which will be handed in, marked and returned, together with the solutions and feedback. For some modules there are also programming assignments and/or class tests.  

September 2023 opportunities. Discover more   
Register interest   
Open Days   

Year 1

Compulsory Modules (120 credits)

Code MTHA4001A Credits 20

The unit provides you with a thorough introduction to some systems of numbers commonly found in Mathematics: natural numbers, integers, rational numbers, modular arithmetic. It also introduces you to common set theoretic notation and terminology and a precise language in which to talk about functions. There is emphasis on precise definitions of concepts and careful proofs of results. Styles of mathematical proofs you will discuss include: proof by induction, direct proofs, proof by contradiction, contrapositive statements, equivalent statements and the role of examples and counterexamples. In addition, this unit will also provide you with an introduction to producing mathematical documents using Latex, and an introduction to solving mathematical problems computationally using both Symbolic Algebra packages and Excel.

Code MTHA4001B Credits 10

Probability is the study of the chance of events occurring. It has important applications to understand the likelihood of multiple events happening together and therefore to rational decision-making. This module will give you an introduction to the modern theory of probability developed from the seminal works of the Russian mathematician A.N. Kolmogorov in 1930s. Kolmogorov’s axiomatic theory describes the outcomes (events) of a random experiment as mathematical sets. Using set theory language you will be introduced to the concept of random variables, and consider different examples of discrete random variables (like binomial, geometric and Poisson random variables) and continuous random variables (like the normal random variable). In the last part of the module you will explore two applications of probability: reliability theory and Markov chains. Aside of the standard lectures and workshop sessions, there will be two computer-lab sessions of (2 hours each) where you will apply probability theory to specific everyday life case studies. The only pre-requisites for this module are a basic knowledge of set theory and of calculus that you would have acquired during the Autumn semester. If you have done probability or statistic at A-level you will rediscover its contents now taught using a proper and more elegant mathematical formalism.

Code MTHA4003A  Credits 20

Algebra plays a key role in pure mathematics and its applications. We will provide you with a thorough introduction and develop this theory from first principles. We develop the theory of matrices, mainly (though not exclusively) over the real numbers. The material covers matrix operations, linear equations, determinants, eigenvalues and eigenvectors, diagonalization and geometric aspects. Another topic underlying all mathematics is Real Analysis. We will explore the mathematical notion of a limit and see the precise definition of the limit of a sequence of real numbers and learn how to prove that a sequence converges to a limit. After studying limits of infinite sequences, we move on to series, which capture the notion of an infinite sum.

Code MTHA4003B Credits 20

This module extends the material studied in the first semester module “Linear algebra, sequences and series” (MTHA4003A) in studying Analysis and Algebra – key topics underpinning all of Mathematics. In the Real Analysis thread, we learn about limits of functions and continuity before moving on to study precise definitions of differentiation and integration. This then leads to the Fundamental Theorem of Calculus. At the heart of group theory is the study of symmetry and the axiomatic development of the theory. The basic concepts are subgroups, Lagrange’s theorem, factor groups, group actions and the Isomorphism Theorem.

Code MTHA4007B  Credits 20

Computation and modelling are essential skills for the modern mathematician. While many applied problems are amenable to analytic methods, many require some numerical computation to complete the solution. The synthesis of these two approaches can provide deep insight into highly complex mathematical ideas. This module will introduce you to the art of mathematical modelling, and train you in the computer programming skills needed to perform numerical computations. A particular focus is classical mechanics, which describes the motion of solid bodies. Central to this is Newton’s second law of motion, which states that a mass will accelerate at a rate proportional to the force imposed upon it. This leads to an ordinary differential equation to be solved for the velocity and position of the mass. In the simplest cases the solution can be constructed using analytical methods, but in more complex situations, for example motion under resistance, numerical methods may be required. Iterative methods for solving nonlinear algebraic equations are fundamental and will also be studied.

Code MTHA4008Y  Credits 30

In this module you will study: (a) Complex numbers. (b) Vectors. (c) Differentiation; power series. (d) Integration: applications, curve sketching, area, arc-length. (e) First and second-order, constant-coefficient ordinary differential equations. Reduction of order. Numerical solutions using MAPLE. Partial derivatives, chain rule. (f) Line integrals. Multiple integrals, including change of coordinates by Jacobians. Green's Theorem in the plane.

Year 2

Compulsory Modules (80 credits)

Code MTHA5002A  Credits 20

In this module, building on knowledge from Calculus, you will develop skills in a variety of mathematical techniques for solving differential equations, and how they can be applied to model a range of applications. As a particular focus, you will consider how we can describe mathematically how a fluid behaves. Techniques for solving differential equations will consider both Ordinary Differential Equations, including series solutions and the method of Frobenius, and Partial Differential Equations, where the method of separation of variables will be introduced. Fourier series (representations of functions as infinite series in Sin and Cos) are also considered. You will also discover the fundamentals of Vector Calculus, how differentiation can be applied to vector fields such as fluid velocity. You will encounter a variety of important Partial Differential Equations from applied mathematics, including deriving the heat equation and the wave equation. The knowledge of vector calculus will also be applied to formulating the differential equations that govern fluid flows, and solving problems such as the flow out of a reservoir.

Code MTHA5003A Credits 20

One thread of this module covers the standard basic theory of the complex plane. The areas covered include continuity, power series and how they represent functions for both real and complex variables, differentiation, holomorphic functions, Cauchy-Riemann equations. The second thread follows on from the Linear Algebra studied in Year One. We introduce the concept of a vector space over a field. Throughout the module we will see examples of different vector spaces which will illustrate the results presented. We will learn about vector subspaces. We will see the definition of a basis of a vector space, why this construction is useful and how we can then talk about the dimension of the space. We will then look at linear transformations between pairs of vector spaces, which will lead to the definitions of the kernel and the image of a linear transformation and hence to the rank-nullity theorem. We will see how by fixing bases, a linear transformation can be encoded in matrix form and how changing the bases changes that matrix, which will lead on to the study of eigenvectors and the diagonalization of matrices.

Code MTHA5002B  Credits 20

Students will study a range of methods for solving problems in applied mathematics, including the method of characteristics for first-order partial differential equations, and Fourier transforms. This is followed by an introduction to dynamical systems – understanding the behaviour of nonlinear differential equations. In the other part of this module, we shall consider both numerical and analytical methods for solving the the equations of fluid flow.

Code MTHA5003B  Credits 20

Study of complex integration will include consideration of the topology of the complex plane along with proof of the Cauchy and Laurent theorems along with applications including residue calculus. The other area of mathematics studied in this module is Ring Theory. After an introduction to rings using integers as a model, we develop the theory with many examples related to familiar concepts such as substitution and factorisation. Important examples of commutative rings include fields, domains, polynomial rings and their quotients.

Optional A Modules (20 - 40 credits)

Code CMP-5034A  Credits 20

This module introduces the essential concepts of mathematical statistics deriving the necessary distribution theory as required. In consequence in addition to ideas of sampling and central limit theorem, it will cover estimation methods and hypothesis-testing.

Code MTHF5030Y  Credits 20

This module introduces you to quantum mechanics and special relativity. In quantum mechanics focus will be on: 1. Studying systems involving very short length scales – eg structure of atoms. 2. Understanding why the ideas of classical mechanics fail to describe physical effects when sub-atomic particles are involved. 3. Deriving and solving the Schrodinger equation. 4. Understanding the probabilistic interpretation of the Schrodinger equation. 5. Understanding how this equation implies that certain physical quantities such as energy do not vary continuously, but can only take on discrete values. The energy levels are said to be quantized. For special relativity, the general concept of space and time drastically changes for an observer moving at speeds close to the speed of light: for example time undergoes a dilation and space a contraction. These counterintuitive phenomena are however direct consequences of physical laws. The module will also explain the basis of Special Relativity using simple mathematics and physical intuition. Important well-known topics like inertial and non-inertial frames, the Lorentz transformations, the concept of simultaneity, time dilation and Lorentz contraction, mass and energy relation will be explained. The module will end with the implications of special relativity and quantum mechanics on a relativistic theory of quantum mechanics.

Code MTHF5034Y Credits 20

Topology: This is an introduction to point-set topology, which studies spaces up to continuous deformations and thereby generalises analysis, using only basic set theory. You will begin by defining a topological space, and will then investigate notions like open and closed sets, limit points and closure, bases of a topology, continuous maps, homeomorphisms, and subspace and product topologies. Logic: This is an introduction to various aspects of mathematical logic. We will cover selected topics from truth and propositional logic, proofs and deductions, computability, countability of sets, ordered sets, Boolean algebras, and connections with Topology.

Optional B Modules (0 - 20 credits)

Code CMP-5020B  Credits 20

You will be introduced to a number of programming concepts at the start of your programming career, using a modern programming language common to many digital industries, with specific focus on applications within STEM fields. We structure learning through lectures, delivering core materials, and tutor supported exercises to reinforce learning, and to prepare you for programming in your following studies.

Code CMP-5042B  Credits 10

This module considers both the theory and practice of statistical modelling of time series. Students will be expected to analyse real data using R.

Code CMP-5043B  Credits 10

This is a module designed to give you the opportunity to apply linear regression techniques using R. While no advanced knowledge of probability and statistics is required, we expect you to have some background in probability and statistics before taking this module. The aim is to provide an introduction to R and then provide the specifics in linear regression.

Code ECO-4006Y  Credits 20

The aim of this module is to introduce students to the economic way of reasoning, and to apply these to a variety of real world macroeconomic issues. Students will begin their journey by learning how to measure macroeconomic aggregates, such as GDP, GDP growth, unemployment and inflation. The module will establish the foundations to conduct rigorous Macroeconomics analysis, as students will learn how to identify and characterize equilibrium on the goods market and on the money market. The module will also introduce students to policy-making, exploring and evaluating features and applications of fiscal and monetary policy. Students will grow an appreciation of the methods of economic analysis, such as mathematical modelling, diagrammatic representation, and narrative. The discussion of theoretical frameworks will be enriched by real world applications, and it will be supported by an interactive teaching approach.

Code EDUB5012A  Credits 20

This module will provide you with an introduction to key areas of psychology with a focus on learning and teaching in education. By the end of the module you should be able to: - Discuss the role of perception, attention and memory in learning; - Compare and contrast key theories related to learning, intelligence, language, thinking and reasoning; - Critically reflect on key theories related to learning,intelligence, language, thinking and reasoning in the practical context; - Discuss the influence of key intrapersonal, interpersonal and situational factors on pupils learning and engagement in educational settings.

Code ENV-5043A  Credits 20

The weather affects everyone and influences decisions that are made continuously around the world. From designing and siting a wind farm to assessing flood risk and public safety, weather plays a vital role. Have you ever wondered what actually causes the weather we experience, for example why large storms are so frequent across north western Europe, especially in Winter? In this module you will learn the fundamentals of the science of meteorology. We will concentrate on the physical processes that underpin the radiation balance, thermodynamics, wind-flow, atmospheric stability, weather systems and the water cycle. We will link these to renewable energy and the weather we experience throughout the Semester. Assessment will be based entirely on a set of practical reports that you will submit, helping you to spread your work evenly through the semester. You will learn how Weather is a rich fusion of descriptive and numerical elements and you will be able to draw effectively on your own skill strengths while practising and developing others, guided by Weatherquest’s Meteorologists.

Code NBS-4108B  Credits 20

This module provides a foundation in the theory and practice of accounting and an introduction to the role, context and language of financial reporting and management accounting. The module assumes no previous study of accounting. It is be taken to provide a foundation to underpin subsequent specialist studies in accounting. 

Code PHY-4003A  Credits 20

In this module, you will learn about the methods used to model the physics of the Earth and Universe. You will explore the energy, mechanics, and physical processes underpinning Earth's systems. This includes the study of its formation, subsequent evolution and current state through the understanding of its structure and behaviour - from our planet's interior to the dynamic surface and into the atmosphere. In the second part of this module, you will study aspects of astrophysics including the history of astrophysics, radiation, matter, gravitation, astrophysical measurements, spectroscopy, stars and some aspects of cosmology. You will learn to predict differences between idealised physics and real life situations. You’ll also improve your skills in problem solving, written communication, information retrieval, poster design, information technology, numeracy and calculations, time management and organisation.

Year 3

Compulsory Modules (120 credits)

Code MTHX6014Y  Credits 120

Students are expected to successfully complete their year abroad according to the host institutions regulations and assessment schedule for a full time year of study. Wherever necessary students should complete reassessments of any appropriate elements, as required by their host institution, during their year abroad. In order to progress with a year abroad at the UEA, students are expected to have achieved an overall pass mark on their year abroad according to host institutions regulations. Additionally, students should obtain a UEA equivalent mark of 60% or more upon assessment (and reassessment if available) at their host institution. There are no reassessments offered for any year abroad elements failed at host institutions, within the UEA School of Mathematics. Students who do not successfully complete their year abroad and fulfil the progression requirements for the Master of Mathematics degree course may be offered the opportunity to transfer to a Bachelors degree course. Under these circumstances, the fourth year spent at UEA would count towards their third year of the Bachelors degree.

Year 4

Compulsory Modules (40 credits)

Code MTHA7029Y  Credits 40

You will complete a fourth year dissertation on a mathematical topic. This is a compulsory part of the Master of Mathematics degree.

Optional Modules (80 credits)

Code MTHD7015A  Credits 20

Mathematical Logic analyses symbolically the way in which we reason formally, particularly about mathematical structures. The ideas have applications to other parts of Mathematics, as well as being important in theoretical computer science and philosophy. We give a thorough treatment of predicate and propositional logic and an introduction to model theory.

Code MTHD7018B  Credits 20

Dynamical meteorology is a core subject on which weather forecasting and the study of climate and climate change are based. This module applies fluid dynamics to the study of the circulation of the Earth's atmosphere. The fluid dynamical equations and some basic thermodynamics for the atmosphere are introduced. These are then applied to topics such as geostrophic flow, thermal wind and the jet streams, boundary layers, gravity waves, the Hadley circulation, vorticity and potential vorticity, Rossby waves, and equatorial waves. Emphasis will be placed on fluid dynamical concepts as well as on finding analytical solutions to the equations of motion. Advanced Topic: Barotropic and baroclinic instability.

Code MTHD7020A  Credits 20

Fluid dynamics has wide ranging applications across nature, engineering, and biology. From understanding the behaviour of ocean waves and weather, designing efficient aircraft and ships, to capturing blood flow, the ability to understand and predict how fluids (liquids and gasses) behave is of fundamental importance. You will consider mathematical models of fluids, particularly including viscosity (or stickiness) of a fluid. Illustrated by practical examples throughout, you will develop the governing differential Navier-Stokes equations, and then consider their solution either finding exact solutions, or using analytical techniques to obtain solutions in certain limits (for example low viscosity or high viscosity).

Code MTHD7021A  Credits 20

Mathematical Biology is a rapidly developing and hugely exciting field with many areas the focus of dedicated research. In this module, you will discover how to use the mathematics you have learned to date to understand a wide range of interesting biological problems. In many cases, important biological insights can be gained from quite simple mathematical models. Examples include the diffusion-limited growth of solid tumours, and the reasons why animal coats patterns are so widely varied - for example, why does the tiger have stripes and the leopard have spots? Mathematics has made fundamental contributions in these and many other areas which we will explore during the module. Further examples may include the propagation of wave-fronts in migrating animal populations, blood flow in arteries and veins and the onset of arterial disease, cochlear mechanics in the ear, and tear film dynamics on the human eye. No prior knowledge of biology is required to be able to take this module. The main part of the module description is the same as for the Level 6 variant of the module - the Advanced Topic work will be announced during lectures.

Code MTHD7025A  Credits 20

Cryptography is the science of coding and decoding messages to keep them secure, and has been used throughout history. While previously only a few people in authority used cryptography, the internet and e-commerce mean that we now all have transactions that we want to keep secret. The speed of modern computers means messages encrypted using techniques from just a few decades ago can now be broken in seconds; thus the methods of encryption have also become more sophisticated. In this module, we will explore the mathematics behind some of these methods, notably RSA and Elliptic Curve Cryptogrphy.

Code MTHD7032B  Credits 20 

We provide techniques for a wide range of applications, while stressing the importance of rigour in developing such techniques. The Calculus of Variations includes techniques for maximising integrals subject to constraints. A typical problem is the curve described by a heavy chain hanging under the effect of gravity. Asymptotic analysis provides a method for solving equations, or evaluating integrals, which involve small parameters, when exact results can not be found and when numerical solutions are difficult. A range of integral transforms are discussed which are useful for solving problems including integro-differential equations. This unit will include illustration of concepts using numerical investigation with MAPLE but no previous experience of using this software is assumed. The Advanced level topics are both related to asymptotic methods applied to different classes of differential equations. In particular, we will look at the method of Matched Asymptotic Expansions and the WKB approximation.

Code MTHD7033B  Credits 20


Code MTHD7034A  Credits 20

This module will be an introduction to some basic notions and results in algebraic topology. In this area, tools from abstract algebra are used to study topological spaces, and conversely methods from topology can be used to prove results in algebra. In particular, we will see how we can associate certain groups with a topological space that capture important basic information about the shape of the space. Topics covered will include: CW complexes, elementary concepts of homotopy theory, fundamental groups, covering spaces, free products of groups and the van Kampen Theorem, and presentations of groups. In the advanced topic, we will investigate some additional concepts and results including: fundamental groups of graphs and the proof that every subgroup of a free group is free, K(G,1)-spaces, free products with amalgamation, and HNN extensions.

Code MTHE7004B  Credits 20

A prerequisite of this module is that you have studied the Algebra module. Galois theory is one of the most spectacular mathematical theories. It gives a beautiful connection between the theory of polynomial equations and group theory. In fact, many fundamental notions of group theory originated in the work of Galois. For example, why are some groups called "solvable"? Because they correspond to the equations that can be solved (by some formula based on the coefficients, involving algebraic operations, and extracting roots of various degrees). Galois theory explains why we can solve quadratic, cubic and quartic equations, but no similar formulae exist for equations of degree greater than 4. In modern exposition, Galois theory deals with "field extensions", and the central topic is the "Galois correspondence" between extensions and groups. The advanced topic concerns the so-called "Inverse Galois problem": does every group correspond to some polynomial, and is the answer dependent on the base field?

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Entry Requirements

A Levels

AAA, or AAB with an A in the Extended Project, including an A in Mathematics. Science A-Levels must include a pass in the practical element.

T Levels

No acceptable pathways for 2022 entry.


DDD alongside grade A in A level Mathematics. Excluding BTEC Public Services, Uniformed Services and Business Administration.

Scottish highers

AAAAA alongside Scottish Advanced Higher Mathematics grade B.

Scottish highers advanced

BBB including Mathematics.

Irish leaving certificate

6 subjects at H2, including Mathematics.

Access course

Pass Access to HE Diploma with Distinction in 45 credits at Level 3, including 12 credits in Mathematics at Distinction. An interview will also be required.

European Baccalaureate

82% including grade 8.5 in Mathematics.

International Baccalaureate

34 points including HL6 in Mathematics.

GCSE offer

You are required to have Mathematics and English Language at a minimum of Grade C or Grade 4 or above at GCSE. 


Additional entry requirements

A-Level General Studies and Critical Thinking are not accepted.  Science A Levels must include a pass in the practical element.

If you do not meet the academic requirements for direct entry, you may be interested in one of our Foundation Year programmes such as BSc Mathematics with a Foundation Year .


If you do not meet the academic and/or English requirements for direct entry our partner, INTO University of East Anglia offers guaranteed progression on to this undergraduate degree upon successful completion of a preparation programme. Depending on your interests, and your qualifications you can take a variety of routes to this degree: 

International Foundation in Physical Sciences and Engineering (for Year 1 entry to UEA) 

International Foundation in Mathematics and Actuarial Sciences (for Year 1 entry to UEA) 

Alternative Entry Requirements

UEA recognises that some students take a mixture of International Baccalaureate IB or International Baccalaureate Career-related Programme IBCP study rather than the full diploma, taking Higher levels in addition to A levels and/or BTEC qualifications. At UEA we do consider a combination of qualifications for entry, provided a minimum of three qualifications are taken at a higher Level. In addition some degree programmes require specific subjects at a higher level. 

Important note

Once enrolled onto your course at UEA, your progression and continuation (which may include your eligibility for study abroad, overseas experience, placement or year in industry opportunities) is contingent on meeting the assessment requirements which are relevant to the course on which you are enrolled.

Students for whom english is a foreign language

Applications from students whose first language is not English are welcome. We require evidence of proficiency in English (including writing, speaking, listening and reading): 

  • IELTS: 6.0 overall (minimum 5.5 in all components) for year 1 entry

  • IELTS: 6.5 overall (minimum 6.0 in all components) for year 2 entry

We also accept a number of other English language tests. Please click here to see our full list

INTO University of East Anglia  

If you do not yet meet the English language requirements for this course, INTO UEA offer a variety of English language programmes which are designed to help you develop the English skills necessary for successful undergraduate study: 


Most applicants will not be called for an interview and a decision will be made via UCAS Track. However, for some applicants an interview will be requested. Where an interview is required the Admissions Service will contact you directly to arrange a time. 

Gap year

We welcome applications from students who have already taken or intend to take a gap year.  We believe that a year between school and university can be of substantial benefit. You are advised to indicate your reason for wishing to defer entry on your UCAS application. 


This course is open to UK and International applicants. The annual intake is in September each year. 

Course Reference Number: 4479118

Fees and Funding

Tuition Fees

See our Tuition Fees page for further information. 

Scholarships and Bursaries

We are committed to ensuring that costs do not act as a barrier to those aspiring to come to a world leading university and have developed a funding package to reward those with excellent qualifications and assist those from lower income backgrounds.

The University of East Anglia offers a range of Scholarships; please click the link for eligibility, details of how to apply and closing dates.

Course related costs

You are eligible for reduced fees during the year abroad. Further details are available on our Tuition Fee website. 

There will be extra costs related to items such as your travel and accommodation during your year abroad, which will vary depending on location.

View our information about Additional Course Fees. 

Course Reference Number: 4479118

How to Apply

Applications need to be made via the Universities Colleges and Admissions Services (UCAS), using the UCAS Apply option.  


UCAS Apply is an online application system that allows you to apply for full-time Undergraduate courses at universities and colleges in the United Kingdom. It is made up of different sections that you need to complete. Your application does not have to be completed all at once. The application allows you to leave a section partially completed so you can return to it later and add to or edit any information you have entered. Once your application is complete, it is sent to UCAS so that they can process it and send it to your chosen universities and colleges.  


The Institution code for the University of East Anglia is E14.  


Course Reference Number: 4479118
Key details
Full Time
Degree of Master of Mathematics
UCAS course code
Entry Requirements
Duration (years)
Mathematics is a highly versatile subject, with many different pathways and applications. On our course, you will have the flexibility to choose where your focus lies, whether that be in pure mathematics, applied mathematics, or statistics, as you develop your skills and enhance your mathematical knowledge. With a broad variety of career options, a degree in Mathematics will unlock a great many doors for you in the world of work. On this integrated Master’s course, you’ll also have the opportunity to study at postgraduate level, and with a year abroad, you’ll experience another culture first-hand as you continue to develop academically. Our MMath Master of Mathematics with a Year Abroad is accredited by the Institute of Mathematics and its Applications (IMA).
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