About this course
This course is not open to applicants for 2025 entry. Search similar degrees by browsing our course finder.
Explore cutting-edge research techniques and advanced mathematical methods. On this integrated master's degree, you'll learn to model, analyse and solve real-world problems in business and industry. You’ll develop advanced analytical and quantitative skills, and study topics such as optimisation and modelling. Southampton is one of the few places in the UK to offer this MMORSE degree.
Your A level results will determine which core or compulsory modules you'll need to take.
This 4-year Mathematics, Operational Research, Statistics and Economics (MORSE) degree is a broad, business-oriented integrated master's.
The course is similar to the BSc MORSE for the first 3 years, then introduces more challenging concepts such as game theory, data mining and survival analysis.
This course will develop your abilities in:
- problem-solving
- logical argument
- deductive reasoning
- abstraction
- generalisation
It is ideal for students pursuing a career as a:
- mathematician
- operational researcher
- statistician
- economist
You’ll also have the flexibility to specialise in an area of your choice for your research project.
As part of this course you can:
- discover a range of mathematical techniques, such as graphical networks, cost models, decision processes and statistical modelling
- solve real-world problems using mathematics and other skills
- use our student centre, a dedicated learning and social space for maths students
- explore mathematical and computational packages such as Python and the statistics package 'R'
We'll teach you through a combination of lectures and workshops. Our staff are leading researchers in fields like game theory, healthcare modelling and experiment design.
We regularly review our courses to ensure and improve quality. This course may be revised as a result of this. Any revision will be balanced against the requirement that the student should receive the educational service expected. Find out why, when, and how we might make changes.
Our courses are regulated in England by the Office for Students (OfS).
Learn more about these subject areas
Course location
This course is based at Highfield.
Awarding body
This qualification is awarded by the University of Southampton.
Download the Course Description Document
The Course Description Document details your course overview, your course structure and how your course is taught and assessed.
Entry requirements
For Academic year 202526
A-levels
This programme is not running for 2025 entry.
International Baccalaureate Diploma
This programme is not running for 2025 entry.
Access to HE Diploma
This programme is not running for 2025 entry.
Scottish Qualification
Offers will be based on exams being taken at the end of S6. Subjects taken and qualifications achieved in S5 will be reviewed. Careful consideration will be given to an individual’s academic achievement, taking in to account the context and circumstances of their pre-university education.
Please see the University of Southampton’s Curriculum for Excellence Scotland Statement (PDF) for further information. Applicants are advised to contact their Faculty Admissions Office for more information.
Cambridge Pre-U
This programme is not running for 2025 entry.
Welsh Baccalaureate
This programme is not running for 2025 entry.
Other requirements
GCSE requirements
This programme is not running for 2025 entry.
You might meet our criteria in other ways if you do not have the qualifications we need. Find out more about:
- our Ignite your Journey scheme for students living permanently in the UK (including residential summer school, application support and scholarship)
- skills you might have gained through work or other life experiences (otherwise known as recognition of prior learning)
Find out more about our Admissions Policy.
Non-academic entry requirements
Got a question?
Please contact our enquiries team if you're not sure that you have the right experience or qualifications to get onto this course.
Email: enquiries@southampton.ac.uk
Tel: +44(0)23 8059 5000
Course structure
You'll study a wide range of modules from:
- mathematics
- operational research
- statistics
- economics
- business
The course has a flexible structure, so you can focus on one of these areas or develop your skills in many.
In the first 2 years you'll learn core concepts and practical aspects of statistics. The third year gives you a wider variety of options to choose from. In the fourth year you will complete a research project over the whole year.
You don't need to select your modules when you apply. Your academic tutor will help you to customise your course.
Year 1 overview
You'll cover maths fundamentals, such as linear algebra and calculus, and discover statistics and operational research.
While you may already be familiar with calculus, you’ll gain a deeper understanding of the underlying ideas.
Linear algebra teaches you how to accurately use vectors and matrices.
Alongside these topics, you'll study both micro and macroeconomics, and begin your journey into business and finance.
Year 2 overview
You’ll continue to study core topics from mathematics, such as differential equations. You'll also learn more about statistics, including statistical distributions and modelling.
Modules will cover:
- econometrics
- operational research
- resource and time management in complex, multi-task projects
- game theory
Optional modules allow you to follow a specific interest. For example, you can choose to study financial mathematics and learn how:
- compound interest theory applies to mortgages and loans
- securities are evaluated
- investment projects are appraised
Year 3 overview
In your final year, you’ll learn about the mathematical programming techniques of convex optimisation and integer programming.
You’ll complete a project, choosing from:
- Maths and your Future: working in small teams to analyse data and apply your mathematical learning to a real-life problem
- Mathematical Investigation and Communication: applying your modelling and computation skills, your knowledge of game theory, or your economic skills
You'll also choose from a range of optional modules. These include topics such as:
- Galois theory
- simulation and queues
- Hilbert spaces
- marketing analysis
- project management
Year 4 overview
In your final year, you'll do a year-long research project on a topic of your choice. A supervisor will support your study.
You can also take advanced specialist modules in areas of study that interest you. You could extend your knowledge of operational research and game theory, by choosing topics in:
- management
- corporate finance
- risk management
Want more detail? See all the modules in the course.
Modules
The modules outlined provide examples of what you can expect to learn on this degree course based on recent academic teaching. As a research-led University, we undertake a continuous review of our course to ensure quality enhancement and to manage our resources. The precise modules available to you in future years may vary depending on staff availability and research interests, new topics of study, timetabling and student demand. Find out why, when and how we might make changes.
For entry in academic year 2025 to 2026
Year 1 modules
You must study the following modules in year 1:
Calculus
This module provides a bridge between A-level mathematics and university mathematics. Some of the material will be similar to that in A-level Maths and Further Maths but will be treated in more depth, and some of the material will be new. Topics of study ...
Introduction to Probability and Statistics
The theory and methods of Statistics play an important role in all walks of life, society, medicine and industry. They enable important understanding to be gained and informed decisions to be made, about a population by examining only a small random sampl...
Linear Algebra I
Linear maps on vector spaces are the basis for a large area of mathematics, in particular linear equations and linear differential equations, which form the basic language of the physical sciences. This module restricts itself to the vector space R^n to ...
Linear Algebra II
Building on the intuitive understanding and calculation techniques from Linear Algebra I, this module introduces the concepts of vector spaces and linear maps in an abstract, axiomatic way. In particular, matrices are revisited as the representation of a ...
Multivariable Calculus
This module introduces the main ideas and techniques of differential and integral calculus of functions of two or more variables. One of the pre-requisites for MATH2003, MATH2011, MATH2014, MATH3033, MATH2038, MATH2039, MATH2045 and MATH2040
Operational Research I and Mathematical Computing
The module has two parts. The first part provides an introduction to the topic of operational research (OR). The key role of using models in OR to obtain solutions of practical problems arising in a variety of contexts is emphasised. Some classical pro...
Principles of Macroeconomics
This module provides an introduction to macroeconomics – the study of the economy as a whole. Combined with Foundations/Principles of Microeconomics this module will provide an appropriate foundation for subsequent economic modules. We begin by discus...
You must also choose from the following modules in year 1:
Foundations of Microeconomics
This module will provide an introduction to microeconomic analysis, the detailed analysis of individuals and groups within the economy. Combined with Principles of Macroeconomics this module will provide an appropriate foundation for subsequent economic m...
Principles of Microeconomics
This module will provide an introduction to microeconomic analysis, the detailed analysis of individuals and groups within the economy. Combined with Principles of Macroeconomics this module will provide an appropriate foundation for subsequent economic m...
Year 2 modules
You must study the following modules in year 2:
Analysis
The notion of limit and convergence are two key ideas on which rest most of modern Analysis. This module aims to present these notions building on the experience gained by students in first year Calculus module. The context of our study is: limits and co...
Econometrics with Big Data
The module will proceed from a review of known content (like matrix algebra, linear regression, hypothesis testing) to more advanced topics such as multiple linear regression, heteroscedasticity, restrictions in hypothesis testing, issues of model misspec...
Operational Research II
A variety of OR techniques are covered in lectures and assessed by examination. Workshops develop skills with computer modelling software (discrete-event simulation and linear programming). Other skills that are developed within the module are group w...
Partial Differential Equations
Differential equations occupy a central role in mathematics because they allow us to describe a wide variety of real-world systems. The module will aim to stress the importance of both theory and applications of differential equations. The module begin...
Statistical Distribution Theory
Functions of one and several random variables are considered such as sums, differences, products and ratios. The central limit theorem is proved and the probability density functions are derived of those sampling distributions linked to the normal distrib...
Statistical Modelling I
Simple linear regression is developed for one explanatory variable using the principle of least squares. The extension to two explanatory variables raises the issue of whether both variables are needed for a well-fitting model, or whether one is sufficien...
You must also choose from the following modules in year 2:
Dynamic Macroeconomics
The aims of the module are to develop a simple dynamic framework in order to: (b) give microeconomic foundation to macroeconomic analysis, (a) learn to approach macroeconomic problems from a general equilibrium perspective, (c) enable students to eva...
Group Theory
Group theory is one of the great simplifying and unifying ideas in modern mathematics. It was introduced in order to understand the solutions to polynomial equations, but only in the last one hundred years has its full significance, as a mathematical for...
Introduction to Management
This module provides you with a broad view on key management related topics. It also provides a chance for you to gain hands-on experience on teamwork through preparation and delivery of a group presentation as part of the module assessment. The lectures ...
Operations Management
Operations management is concerned with the management of resources for producing and delivering products or services. Case study material will be used in the module to illustrate many of the important issues faced by operations managers as well as coveri...
Year 3 modules
You must study the following modules in year 3:
Mathematical Programming
- Linear programs: their basic properties; the simplex algorithm. - Duality: the relationship between a linear program and its dual, duality theorems, complementarity, and the alternative; sensitivity analysis. - The interior point method for convex op...
Mathematics Project
This module is compulsory for every Year 3 student of any Mathematical Sciences degree programme. Its main goal is to provide the student with an opportunity to research an area of mathematics that interests them, while strengthening their transferrable s...
You must also choose from the following modules in year 3:
Accounting and Finance for Non-Specialists
The module is designed to provide an introduction to financial accounting, corporate finance and financial management of organisations. This module is intended for students from any academic discipline who have an interest in accounting and finance as an ...
Actuarial Mathematics I
This subject arises through a fusion of compound interest theory with probability theory, and provides the mathematical framework necessary for analysing such contracts, which are essentially long term financial transactions in which the various cash flow...
Actuarial Mathematics II
Synopsis: The module extends the mathematical framework developed in MATH3063 in order to enable modelling of long term financial transactions where the various cash flows are contingent on the death or survival of several lives, or where there are sever...
Advanced Fluid Dynamics
Modelling fluid flow requires us first to extend vector calculus to include volumes that change with time. This will allow us to rephrase Newton’s second law of motion, that the force is equal to the time derivative of the linear momentum, in a way that ...
Advanced Partial Differential Equations
Partial Differential Equations (PDEs) occur frequently in many areas of mathematics. This module extends earlier work on PDEs by presenting a variety of more advanced solution techniques together with some of the underlying theory.
Algebraic Topology
Topology is concerned with the way in which geometric objects can be continuously deformed to one another. It can be thought of as a variation of geometry where there is a notion of points being "close together" but without there being a precise measure o...
Complex Analysis
Complex Analysis is the theory of functions in a complex variable. While the initial theory is very similar to Analysis (i.e, the theory of functions in one real variable as seen in the second year), the main theorems provide a surprisingly elegant, found...
Design and Analysis of Experiments
A well-designed experiment is an efficient way of learning about the world. Typically, an experiment may involve varying several factors and observing the value of a response at settings of combinations of values of these factors. The mathematical challen...
Further Number Theory
Number Theory is the study of integers and their generalisations such as the rationals, algebraic integers or finite fields. The problem more or less defining Number Theory is to find integer solutions to equations, such as the famous Fermat equation x^n ...
Futures and Options
In the last 30 years derivatives have become increasingly important in finance and many different types of derivatives are actively traded on exchanges throughout the world. This module explores the pricing and use forwards, futures and options with a par...
Galois Theory
This module is designed for students in their third year and aims to introduce the basic concepts and techniques of Galois theory, building on earlier work at level 2. As such, it will provide an introduction to core concepts in rings, fields, polynomials...
Graph Theory
Graph theory was born in 1736 with Euler’s solution of the Königsberg bridge problem, which asked whether it was possible to plan a walk over the seven bridges of the town without re-tracing one’s steps. Euler realised that the problem could be rephrased ...
Hilbert Spaces
This module is an introduction to the functional analysis of Hilbert spaces. The subject of functional analysis builds on the linear algebra studied in the first year and the analysis studied in the second year. Initially pivotal in Fourier theory and di...
Integral Transform Methods
Many classes of problems are difficult to solve in their original domain. An integral transform maps the problem from its original domain into a new domain in which solution is easier. The solution is then mapped back to the original domain with the inver...
International Banking
Banks are at the heart of the global financial system. This module strives to link the theory and practice of banking in a real-world setting. Considerable attention is given to the vast array of risks that banks face and this is achieved by learning abou...
Knowledge Management
As organisations have become more knowledge intensive, the ability to manage knowledge has become a matter of competitive survival. This module is intended to provide students with a blend of theory and current practice in knowledge management in organisa...
Mathematical Biology
Biology is undergoing a quantitative revolution, generating vast quantities of data that are analysed using bioinformatics techniques and modelled using mathematics to give insight into the underlying biological processes. This module aims to give a flavo...
Mathematical Finance
Following an initial discussion of the assessment and measurement of investment risk, mean-variance portfolio theory is introduced and used to determine the risk and return for a portfolio of risky assets, the composition of the optimal such portfolio, an...
Numerical Methods
Introduce the students to the practical application of a relatively wide spectrum of numerical techniques and familiarise the students with numerical coding. Often in mathematics, it is possible to prove the existence of a solution to a given problem, ...
Optimization
Module Contents: This module discusses continuous optimization problems where either the objective function or constraint functions or both are nonlinear. It explains optimality conditions, that is, which conditions an optimal solution must satisfy. It in...
Project Management
Project management is an integrated approach to achieve non-routine business objectives. This module aims to introduce the ideas, techniques and tools of project management as used in practice. Students will be equipped with both knowledge and underst...
Relativity, Black Holes and Cosmology
This is a module principally on Einstein's general theory of relativity, a relativistic theory of gravitation which explains gravitational effects as coming from the curvature of space-time. It provides a comprehensive introduction to material which is cu...
Statistical Inference
Statistical inference involves using data from a sample to draw conclusions about a wider population. Given a partly specified statistical model, in which at least one parameter is unknown, and some observations for which the model is valid, it is possibl...
Statistical Methods in Insurance
Statistical Modelling II
The module Statistical Modelling II covers in detail the theory of linear regression models, where explanatory variables are used to explain the variation in a response variable, which is assumed to be normally distributed. However, in many practical situ...
Structure and Dynamics of Networks
Networks are ubiquitous in the modern world: from the biological networks that regulate cell behaviour, to technological networks such as the Internet and social networks such as Facebook. Typically real-world networks are large, complex, and exhibit both...
Survival Models
This module introduces some of the fundamental ideas and issues of lifetime and time-to-event data analysis, as used in actuarial practice, biomedical research and demography.
Topics in Macroeconomics
The main objective of this module is to expose students to the state-of-the-art discussion in a range of macroeconomic topics: growth, unemployment, taxation, and monetary policy. The approach is to study a simplified version of some widely used models in...
Year 4 modules
You must study the following module in year 4:
You must also choose from the following modules in year 4:
Accounting and Finance for Actuarial Science
This module is designed to provide an introduction to financial accounting, corporate finance and financial management of organisations. The module is intended for students from any academic discipline who have an interest in accounting and finance as an ...
Actuarial Mathematics I
This subject arises through a fusion of compound interest theory with probability theory, and provides the mathematical framework necessary for analysing such contracts, which are essentially long term financial transactions in which the various cash flow...
Actuarial Mathematics II
Synopsis: The module extends the mathematical framework developed in MATH3063 in order to enable modelling of long term financial transactions where the various cash flows are contingent on the death or survival of several lives, or where there are sever...
Computer-based statistical modelling
The aim of the course is to provide a modern view of computer-based data analysis, from the statistical point of view. The course is intended for students with a solid basic background in probability, statistical methods, and computing, and who aim to bu...
Corporate Finance
This module acquaints students with the main concepts, methods and insights in corporate finance at the graduate level. It focuses on firms' financial decision-making and its effect on corporate profits and valuations. Particular emphasis will be placed o...
Corporate Finance 1
In this module we begin by looking at the types and sources of finance for a company. Next we seek to understand the cost of capital and the major theories that guide us. Next comes sources of long-term finance: capital, debt and hybrid finance. Finally, ...
Corporate Finance 2
This module covers topics such as investment appraisal, evaluation of corporate investment, M&A, corporate governance issues in both theoretical and empirical aspects, and thus provides the knowledge which may be required for managers. The materials may b...
Design of Experiments
When planning experiments, it is essential that the data collected are as relevant and informative as possible. The statistical principles for the design of experiments include the choice of optimal or good treatments sets and appropriate replication of t...
Financial Mathematics
This module provides a solid mathematical introduction to the subject of Compound Interest Theory and its application to the analysis of a wide variety of complex financial problems, including those associated with mortgage and commercial loans, the valua...
Financial Risk Management
The module explores bank regulations as well as theoretical and practical techniques to measure market risk, interest rate risk and credit risk. It also discusses the theoretical and practical aspects of the risk management techniques employed in the fina...
Forecasting
The module will introduce students to time series models and associated forecasting methods.
Household Finance
This module familiarises students with theories and evidence of consumer/household financial decision making. The module examines optimal and actual financial decisions by households, e.g. on borrowing and saving, and the role of financial service provisi...
Industrial Economics
The module will provide an introduction to the field of Industrial Organisation at a graduate level.
Macroeconomics
To provide students with a solid grounding in the techniques of modern macroeconomic theory, with particular emphasis on real business cycle models. The tools you will learn will enable you to understand cutting edge research and provide foundations on wh...
Mathematical Finance
Following an initial discussion of the assessment and measurement of investment risk, mean-variance portfolio theory is introduced and used to determine the risk and return for a portfolio of risky assets, the composition of the optimal such portfolio, an...
Microeconomics
To provide graduate students in economics with an introduction to the basic frameworks of graduate-level microeconomic theory: general equilibrium theory and game theory. Special emphasis will be given to the design, construction and the solution of econo...
Project Risk Management
Project risk management has evolved significantly over many years, but there are conflicting views about what constitutes best practice. This course provides an overview of best practice as outlined in the course text with a critical comparison of alterna...
Quantitative Finance
The purpose of this module is to provide you with the necessary skills to undertake quantitative research in finance. In particular, we focus on analysing financial markets and firms’ investment and financing decisions. Lectures will introduce a broad ran...
Quantitative Methods
Assessment in the module takes the form of an online software skills test (worth 10% of the final mark) and a final written exam (worth 90%).
Stochastic Processes
The module will introduce the basic ideas in modelling, solving and simulating stochastic processes.
Learning and assessment
The learning activities for this course include the following:
- lectures
- classes and tutorials
- coursework
- individual and group projects
- independent learning (studying on your own)
Course time
How you'll spend your course time:
Year 1
Study time
Your scheduled learning, teaching and independent study for year 1:
How we'll assess you
- coursework, laboratory reports and essays
- essays
- individual and group projects
- written and practical exams
Your assessment breakdown
Year 1:
Year 2
Study time
Your scheduled learning, teaching and independent study for year 2:
How we'll assess you
- coursework, laboratory reports and essays
- essays
- individual and group projects
- written and practical exams
Your assessment breakdown
Year 2:
Academic support
You’ll be supported by a personal academic tutor and have access to a senior tutor.
Course leader
Athanasios Avramidis is the course leader.
Careers
Employability is an essential part of our maths courses. We'll ensure you are equipped for a successful postgraduate career or to continue your studies.
Our graduates have gone on to work as:
- actuaries
- economists
- statisticians
- programmers
- software developers
- accountants
- business analysts
- financial analysts
- financial managers
Careers services at Southampton
We are a top 20 UK university for employability (QS Graduate Employability Rankings 2022). Our Careers, Employability and Student Enterprise team will support you. This support includes:
- work experience schemes
- CV and interview skills and workshops
- networking events
- careers fairs attended by top employers
- a wealth of volunteering opportunities
- study abroad and summer school opportunities
We have a vibrant entrepreneurship culture and our dedicated start-up supporter, Futureworlds, is open to every student.
Work in industry
You’ll have the opportunity to take a paid year in employment.
The University’s UoS Internships Programme can help you find a paid work placement during the Easter or summer vacation.
Fees, costs and funding
Tuition fees
Fees for a year's study:
- UK students pay £9,250.
- EU and international students pay £24,200.
The Government has recently announced changes to UK tuition fees from September 2025 onwards. We will update our website to reflect this shortly.
What your fees pay for
Your tuition fees pay for the full cost of tuition and standard exams.
Find out how to:
Accommodation and living costs, such as travel and food, are not included in your tuition fees. There may also be extra costs for retake and professional exams.
Explore:
Bursaries, scholarships and other funding
If you're a UK or EU student and your household income is under £25,000 a year, you may be able to get a University of Southampton bursary to help with your living costs. Find out about bursaries and other funding we offer at Southampton.
If you're a care leaver or estranged from your parents, you may be able to get a specific bursary.
Get in touch for advice about student money matters.
Scholarships and grants
You may be able to get a scholarship or grant to help fund your studies.
We award scholarships and grants for travel, academic excellence, or to students from under-represented backgrounds.
Support during your course
The Student Hub offers support and advice on money to students. You may be able to access our Student Support fund and other sources of financial support during your course.
Funding for EU and international students
Find out about funding you could get as an international student.
How to apply
What happens after you apply?
We will assess your application on the strength of your:
- predicted grades
- academic achievements
- personal statement
- academic reference
We'll aim to process your application within 2 to 6 weeks, but this will depend on when it is submitted. Applications submitted in January, particularly near to the UCAS equal consideration deadline, might take substantially longer to be processed due to the high volume received at that time.
Equality and diversity
We treat and select everyone in line with our Equality and Diversity Statement.
Got a question?
Please contact our enquiries team if you're not sure that you have the right experience or qualifications to get onto this course.
Email: enquiries@southampton.ac.uk
Tel: +44(0)23 8059 5000
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