About this course
Mathematicians are in demand across industry, finance, science and the arts, bringing analytical skills and problem-solving strategies to a range of issues. This maths degree is our most flexible course within mathematics, making you highly employable. Core areas include pure and applied mathematics, statistics and operational research. You can add options from other areas such as economics, sciences or languages.
The core of the course is based on our BSc mathematics degree and covers the foundations of algebra, calculus, number theory and statistics. You’ll investigate the applications of mathematics in a variety of contexts and use mathematical and statistical models.
As part of this course you’ll:
- develop your abilities in problem-solving, accurate calculation and logical argument
- be able to choose options from other subjects as well as specialise in actuarial and financial mathematics, operational research or statistics
- use our student centre, a dedicated learning and social space for maths students
- use mathematical and computational packages such as Python and the statistics package R
- be able to take a minor subject to broaden your studies
You’ll be taught through a combination of lectures and workshops, by leading researchers in fields, such as group theory, the mathematics of nature and experimental 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).
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
AAB including A in Mathematics
A-levels additional information
Offers typically exclude General Studies and Critical Thinking.
If an additional Mathematics qualification (STEP grade 2/MAT/TMUA) is taken alongside three A-levels then the offer will be ABB including Mathematics (grade A). We accept any of the three STEP papers. For more details about the STEP and TMUA papers see the Admissions Testing Service Website.
A-levels with Extended Project Qualification
If you are taking an EPQ in addition to 3 A levels, you will receive the following offer in addition to the standard A level offer: ABB including A in Mathematics and grade A in the EPQ
A-levels contextual offer
We are committed to ensuring that all applicants with the potential to succeed, regardless of their background, are encouraged to apply to study with us. The additional information gained through contextual data allows us to recognise an applicant's potential to succeed in the context of their background and experience. Applicants who are highlighted in this way will be made an offer which is lower than the typical offer for that programme.
International Baccalaureate Diploma
Pass, with 34 points overall with 17 at Higher Level, including 6 points from Higher Level Mathematics (Preferred Mathematics module is Analysis and Approaches, but Applications and Interpretation also considered)
International Baccalaureate contextual offer
We are committed to ensuring that all learners with the potential to succeed, regardless of their background, are encouraged to apply to study with us. The additional information gained through contextual data allows us to recognise a learner’s potential to succeed in the context of their background and experience. Applicants who are highlighted in this way will be made an offer which is lower than the typical offer for that programme.
International Baccalaureate Career Programme (IBCP) statement
Offers will be made on the individual Diploma Course subject(s) and the career-related study qualification. The CP core will not form part of the offer. Where there is a subject pre-requisite(s), applicants will be required to study the subject(s) at Higher Level in the Diploma course subject and/or take a specified unit in the career-related study qualification. Applicants may also be asked to achieve a specific grade in those elements. Please see the University of Southampton International Baccalaureate Career-Related Programme (IBCP) Statement for further information. Applicants are advised to contact their Faculty Admissions Office for more information.
BTEC
D in the BTEC National Extended Certificate plus AA from two A levels including Mathematics.
DD in the BTEC National Diploma plus A in A level Mathematics.
We do not accept BTEC National Extended Diploma unless A level Mathematics is taken alongside this qualification. If it has, the offer would be DDD plus A in A level Mathematics
RQF BTEC
We are committed to ensuring that all learners with the potential to succeed, regardless of their background, are encouraged to apply to study with us. The additional information gained through contextual data allows us to recognise a learner’s potential to succeed in the context of their background and experience. Applicants who are highlighted in this way will be made an offer which is lower than the typical offer for that programme.
Additional information
Applicants who have not studied mathematics at A-level can apply for the Engineering/Physics/Mathematics Foundation Year
QCF BTEC
D in the BTEC Subsidiary Diploma plus AA from two A levels including Mathematics.
DD in the BTEC Diploma plus A in A level Mathematics.
We do not accept the BTEC Extended Diploma unless A level Mathematics is taken alongside this qualification. If it has, the offer would be DDD plus A in A level Mathematics.
We are committed to ensuring that all learners with the potential to succeed, regardless of their background, are encouraged to apply to study with us. The additional information gained through contextual data allows us to recognise a learner’s potential to succeed in the context of their background and experience. Applicants who are highlighted in this way will be made an offer which is lower than the typical offer for that programme.
Access to HE Diploma
60 credits with a minimum of 45 credits at Level 3, of which 39 must be at Distinction and 6 credits at Merit
Access to HE additional information
Mathematics must be studied to level 3, A-level standard to be considered
Irish Leaving Certificate
Irish Leaving Certificate (first awarded 2017)
H1 H2 H2 H2 H2 H2 including Mathematics at H2
Irish Leaving Certificate (first awarded 2016)
A1, A1, A1, A1, A1, A2 including Mathematics at A1
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
D3 D3 M2 in three Principal subjects including Mathematics at D3
Cambridge Pre-U additional information
Cambridge Pre-U's can be used in combination with other qualifications such as A Levels to achieve the equivalent of the typical offer
Welsh Baccalaureate
AAB from 3 A levels including Mathematics (grade A) or AA from two A levels including Mathematics and B from the Advanced Welsh Baccalaureate Skills Challenge Certificate
Welsh Baccalaureate contextual offer
We are committed to ensuring that all learners with the potential to succeed, regardless of their background, are encouraged to apply to study with us. The additional information gained through contextual data allows us to recognise a learner’s potential to succeed in the context of their background and experience. Applicants who are highlighted in this way will be made an offer which is lower than the typical offer for that programme.
T-Level
There are no T levels accepted for this programme.
Other requirements
GCSE requirements
Applicants must hold GCSE English language (or GCSE English) (minimum grade 4/C)
Find the equivalent international qualifications for our entry requirements.
English language requirements
If English isn't your first language, you'll need to complete an International English Language Testing System (IELTS) to demonstrate your competence in English. You'll need all of the following scores as a minimum:
IELTS score requirements
- overall score
- 6.5
- reading
- 6.0
- writing
- 6.0
- speaking
- 6.0
- listening
- 6.0
We accept other English language tests. Find out which English language tests we accept.
If you don’t meet the English language requirements, you can achieve the level you need by completing a pre-sessional English programme before you start your course.
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.
For Academic year 202425
A-levels
AAB including A in Mathematics
A-levels additional information
Offers typically exclude General Studies and Critical Thinking.
If an additional Mathematics qualification (STEP grade 2/MAT/TMUA) is taken alongside three A-levels then the offer will be ABB including Mathematics (grade A). We accept any of the three STEP papers. For more details about the STEP and TMUA papers see the Admissions Testing Service Website.
A-levels with Extended Project Qualification
If you are taking an EPQ in addition to 3 A levels, you will receive the following offer in addition to the standard A level offer: ABB including A in Mathematics and grade A in the EPQ
A-levels contextual offer
We are committed to ensuring that all applicants with the potential to succeed, regardless of their background, are encouraged to apply to study with us. The additional information gained through contextual data allows us to recognise an applicant's potential to succeed in the context of their background and experience. Applicants who are highlighted in this way will be made an offer which is lower than the typical offer for that programme. The contextual offer for this programme is ABB including A in Maths.
International Baccalaureate Diploma
Pass, with 34 points overall with 17 at Higher Level, including 6 points from Higher Level Mathematics (Preferred Mathematics module is Analysis and Approaches, but Applications and Interpretation also considered)
International Baccalaureate contextual offer
We are committed to ensuring that all learners with the potential to succeed, regardless of their background, are encouraged to apply to study with us. The additional information gained through contextual data allows us to recognise a learner’s potential to succeed in the context of their background and experience. Applicants who are highlighted in this way will be made an offer which is lower than the typical offer for that programme.
International Baccalaureate Career Programme (IBCP) statement
Offers will be made on the individual Diploma Course subject(s) and the career-related study qualification. The CP core will not form part of the offer. Where there is a subject pre-requisite(s), applicants will be required to study the subject(s) at Higher Level in the Diploma course subject and/or take a specified unit in the career-related study qualification. Applicants may also be asked to achieve a specific grade in those elements. Please see the University of Southampton International Baccalaureate Career-Related Programme (IBCP) Statement for further information. Applicants are advised to contact their Faculty Admissions Office for more information.
BTEC
D in the BTEC National Extended Certificate plus AA from two A levels including Mathematics.
DD in the BTEC National Diploma plus A in A level Mathematics.
We do not accept BTEC National Extended Diploma unless A level Mathematics is taken alongside this qualification. If it has, the offer would be DDD plus A in A level Mathematics
RQF BTEC
We are committed to ensuring that all learners with the potential to succeed, regardless of their background, are encouraged to apply to study with us. The additional information gained through contextual data allows us to recognise a learner’s potential to succeed in the context of their background and experience. Applicants who are highlighted in this way will be made an offer which is lower than the typical offer for that programme.
Additional information
Applicants who have not studied mathematics at A-level can apply for the Engineering/Physics/Mathematics Foundation Year
QCF BTEC
D in the BTEC Subsidiary Diploma plus AA from two A levels including Mathematics.
DD in the BTEC Diploma plus A in A level Mathematics.
We do not accept the BTEC Extended Diploma unless A level Mathematics is taken alongside this qualification. If it has, the offer would be DDD plus A in A level Mathematics.
We are committed to ensuring that all learners with the potential to succeed, regardless of their background, are encouraged to apply to study with us. The additional information gained through contextual data allows us to recognise a learner’s potential to succeed in the context of their background and experience. Applicants who are highlighted in this way will be made an offer which is lower than the typical offer for that programme.
Access to HE Diploma
60 credits with a minimum of 45 credits at Level 3, of which 39 must be at Distinction and 6 credits at Merit
Access to HE additional information
Mathematics must be studied to level 3, A-level standard to be considered
Irish Leaving Certificate
Irish Leaving Certificate (first awarded 2017)
H1 H2 H2 H2 H2 H2 including Mathematics at H2
Irish Leaving Certificate (first awarded 2016)
A1, A1, A1, A1, A1, A2 including Mathematics at A1
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
D3 D3 M2 in three Principal subjects including Mathematics at D3
Cambridge Pre-U additional information
Cambridge Pre-U's can be used in combination with other qualifications such as A Levels to achieve the equivalent of the typical offer
Welsh Baccalaureate
AAB from 3 A levels including Mathematics (grade A) or AA from two A levels including Mathematics and B from the Advanced Welsh Baccalaureate Skills Challenge Certificate
Welsh Baccalaureate contextual offer
We are committed to ensuring that all learners with the potential to succeed, regardless of their background, are encouraged to apply to study with us. The additional information gained through contextual data allows us to recognise a learner’s potential to succeed in the context of their background and experience. Applicants who are highlighted in this way will be made an offer which is lower than the typical offer for that programme.
T-Level
There are no T levels accepted for this programme.
Other requirements
GCSE requirements
Applicants must hold GCSE English language (or GCSE English) (minimum grade 4/C)
Find the equivalent international qualifications for our entry requirements.
English language requirements
If English isn't your first language, you'll need to complete an International English Language Testing System (IELTS) to demonstrate your competence in English. You'll need all of the following scores as a minimum:
IELTS score requirements
- overall score
- 6.5
- reading
- 6.0
- writing
- 6.0
- speaking
- 6.0
- listening
- 6.0
We accept other English language tests. Find out which English language tests we accept.
If you don’t meet the English language requirements, you can achieve the level you need by completing a pre-sessional English programme before you start your course.
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.
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
This highly flexible programme allows you to study a wide range of modern mathematical ideas from pure and applied mathematics, statistics and operational research. You can broaden your degree by choosing modules from a wide range of areas, including:
- foreign languages
- the sciences
- economics
- management
- philosophy
You don't need to select your modules when you apply. Your academic tutor will help you to customise your course.
Year 1 overview
In your first year, you'll cover the fundamentals such as linear algebra. You'll discover linear maps on vector spaces, which are the foundation for a large area of mathematics and form the basic language of the physical sciences. You'll also study calculus, which will provide a bridge between A level mathematics and university mathematics. You'll look at number theory and get an introduction to probability and statistics.
You can choose from various optional modules. For example, you can study operational research and mathematical computing. This module looks at how to solve practical problems in different contexts and how computer programming can solve types of mathematical problems.
Year 2 overview
Compulsory modules include partial differential equations and analysis.
You can choose from a wide range of optional modules. For example, you can study financial mathematics, where you'll learn how compound interest theory applies to mortgages and commercial loans, how securities are valuated, and how investment projects are appraised.
Year 3 overview
In your third year, you will do an individual and group research project.
You can also specialise in an area that interests you by choosing optional modules such as number theory, graph theory or mathematical experiments.
There are also options for you to study how to communicate and teach maths, or learn more about mathematical modelling. This includes a study of systems like financial markets, information theory, and machine learning and networks. You'll be able to broaden your studies by including modules from other areas, for example, you can do a module about criminal justice.
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...
You must also choose from the following modules in year 1:
Dynamics and Relativity
This module is designed to introduce students to central elements of applied mathematics. It assumes no prior knowledge of particular applications, but assumes a working understanding of basic vector algebra and simple differential equations. The module p...
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...
Number Theory
The aim of this module is to introduce students to some of the basic ideas of number theory, and to use this as a context in which to discuss the development of mathematics through examples, conjectures, theorems, proofs and applications. The module will ...
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...
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...
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...
You must also choose from the following modules in year 2:
Algorithms
Algorithms are systematic methods for solving mathematical problems, such as sorting numbers in ascending order, finding the cheapest way to ship goods on the road network or finding the shortest path in a graph. They can be regarded as practical applicat...
Fields and Fluids
Over the last four hundred years progress in understanding the physical world (theoretical physics) has gone hand in hand with progress in the mathematical sciences, so much so that the terms applied mathematics and theoretical physics have come to be alm...
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...
Geometry and Topology
Geometry has grown out of efforts to understand the world around us, and has been a central part of mathematics from the ancient times to the present. Topology has been designed to describe, quantify, and compare shapes of complex objects. Together, geome...
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...
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...
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...
Stochastic Processes
The module will introduce the basic ideas in modelling, solving and simulating stochastic processes.
Vector Calculus and Complex Variable
In the first part of this module we build on multivariate calculus studied in the first year and extend it to the calculus of scalar and vector functions of several variables. Line, surface and volume integrals are considered and a number of theorems inv...
Year 3 modules
You must study the following module in year 3:
You must also choose from the following modules in year 3:
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...
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...
Algorithms
Algorithms are systematic methods for solving mathematical problems, such as sorting numbers in ascending order, finding the cheapest way to ship goods on the road network or finding the shortest path in a graph. They can be regarded as practical applicat...
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...
Fields and Fluids
Over the last four hundred years progress in understanding the physical world (theoretical physics) has gone hand in hand with progress in the mathematical sciences, so much so that the terms applied mathematics and theoretical physics have come to be alm...
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 ...
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...
Geometry and Topology
Geometry has grown out of efforts to understand the world around us, and has been a central part of mathematics from the ancient times to the present. Topology has been designed to describe, quantify, and compare shapes of complex objects. Together, geome...
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 ...
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...
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...
Learning and Teaching Mathematics
This module offers an opportunity to learn about mathematics education. We explore different perspectives on the teaching and learning of mathematics drawing on research and theoretical considerations. You will also experience a range of research-informed...
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...
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...
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...
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 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...
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...
Stochastic Processes
The module will introduce the basic ideas in modelling, solving and simulating stochastic processes.
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.
Vector Calculus and Complex Variable
In the first part of this module we build on multivariate calculus studied in the first year and extend it to the calculus of scalar and vector functions of several variables. Line, surface and volume integrals are considered and a number of theorems inv...
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
- teamwork
- 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
- teamwork
- 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
Antony Overstall is the course leader.
Careers
Employability is an essential part of our maths courses, ensuring you are equipped for a successful postgraduate career or further study. You will be able to take an optional ‘Maths and your Future’ module designed to boost your professional skills.
You’ll graduate with transferable skills that will qualify you to work in a range of fields and industries.
Our bachelor's in mathematics graduates have gone on to work as:
- programmers
- software developers
- actuaries
- economists
- statisticians
- accountants
- business analysts
- financial analysts
- financial managers
The University’s UoS Internships Programme can help you find a paid work placement during the Easter or summer vacation.
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 between your second and third year.
Fees, costs and funding
Tuition fees
Fees for a year's study:
- UK students pay £9,250.
- EU and international students pay £25,200.
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
Related courses
Mathematical Sciences (BSc) is a course in the Mathematical sciences subject area. Here are some other courses within this subject area:
-
Study
- View all courses
- Taught postgraduate study
- Pre-sessional English courses
-
Subjects
- Acoustical engineering
- Audiology
- Biomedical and medical engineering
- Civil engineering
- Every day I’m completely immersed in an environment that’s creative in all aspects
- Everything I learn feels so relevant, even If it’s a subject rooted in the past
- Maritime engineering
- Photonics and optoelectronics
- Social statistics and demography
-
PhDs and research degrees
- Create your own research project
-
Find a PhD project
- A missing link between continental shelves and the deep sea: Have we underestimated the importance of land-detached canyons?
- A study of rolling contact fatigue in electric vehicles (EVs)
- Acoustic monitoring of forest exploitation to establish community perspectives of sustainable hunting
- Acoustic sensing and characterisation of soil organic matter
- Advancing intersectional geographies of diaspora-led development in times of multiple crises
- Aero engine fan wake turbulence – Simulation and wind tunnel experiments
- Against Climate Change (DACC): improving the estimates of forest fire smoke emissions
- All-in-one Mars in-situ resource utilisation (ISRU) system and life-supporting using non-thermal plasma
- An electromagnetic study of the continent-ocean transition southwest of the UK
- An investigation of the relationship between health, home and law in the context of poor and precarious housing, and complex and advanced illness
- Antibiotic resistance genes in chalk streams
- Being autistic in care: Understanding differences in care experiences including breakdowns in placements for autistic and non-autistic children
- Biogeochemical cycling in the critical coastal zone: Developing novel methods to make reliable measurements of geochemical fluxes in permeable sediments
- Bloom and bust: seasonal cycles of phytoplankton and carbon flux
- British Black Lives Matter: The emergence of a modern civil rights movement
- Building physics for low carbon comfort using artificial intelligence
- Building-resolved large-eddy simulations of wind and dispersion over a city scale urban area
- Business studies and management: accounting
- Business studies and management: banking and finance
- Business studies and management: decision analytics and risk
- Business studies and management: digital and data driven marketing
- Business studies and management: human resources (HR) management and organisational behaviour
- Business studies and management: strategy, innovation and entrepreneurship
- Carbon storage in reactive rock systems: determining the coupling of geo-chemo-mechanical processes in reactive transport
- Cascading hazards from the largest volcanic eruption in over a century: What happened when Hunga Tonga-Hunga Ha’apai erupted in January 2022?
- Characterisation of cast austenitic stainless steels using ultrasonic backscatter and artificial intelligence
- Climate Change effects on the developmental physiology of the small-spotted catshark
- Climate at the time of the Human settlement of the Eastern Pacific
- Collaborative privacy in data marketplaces
- Compatibility of climate and biodiversity targets under future land use change
- Cost of living in modern and fossil animals
- Creative clusters in rural, coastal and post-industrial towns
- Deep oceanic convection: the outsized role of small-scale processes
- Defect categories and their realisation in supersymmetric gauge theory
- Defining the Marine Fisheries-Energy-Environment Nexus: Learning from shocks to enhance natural resource resilience
- Design and fabrication of next generation optical fibres
- Developing a practical application of unmanned aerial vehicle technologies for conservation research and monitoring of endangered wildlife
- Development and evolution of animal biomineral skeletons
- Development of all-in-one in-situ resource utilisation system for crewed Mars exploration missions
- Ecological role of offshore artificial structures
- Effect of embankment and subgrade weathering on railway track performance
- Efficient ‘whole-life’ anchoring systems for offshore floating renewables
- Electrochemical sensing of the sea surface microlayer
- Engagement with nature among children from minority ethnic backgrounds
- Enhancing UAV manoeuvres and control using distributed sensor arrays
- Ensuring the Safety and Security of Autonomous Cyber-Physical Systems
- Environmental and genetic determinants of Brassica crop damage by the agricultural pest Diamondback moth
- Estimating marine mammal abundance and distribution from passive acoustic and biotelemetry data
- Evolution of symbiosis in a warmer world
- Examining evolutionary loss of calcification in coccolithophores
- Explainable AI (XAI) for health
- Explaining process, pattern and dynamics of marine predator hotspots in the Southern Ocean
- Exploring dynamics of natural capital in coastal barrier systems
- Exploring the mechanisms of microplastics incorporation and their influence on the functioning of coral holobionts
- Exploring the potential electrical activity of gut for healthcare and wellbeing
- Exploring the trans-local nature of cultural scene
- Facilitating forest restoration sustainability of tropical swidden agriculture
- Faulting, fluids and geohazards within subduction zone forearcs
- Faulting, magmatism and fluid flow during volcanic rifting in East Africa
- Fingerprinting environmental releases from nuclear facilities
- Flexible hybrid thermoelectric materials for wearable energy harvesting
- Floating hydrokinetic power converter
- Glacial sedimentology associated subglacial hydrology
- Green and sustainable Internet of Things
- How do antimicrobial peptides alter T cell cytokine production?
- How do calcifying marine organisms grow? Determining the role of non-classical precipitation processes in biogenic marine calcite formation
- How do neutrophils alter T cell metabolism?
- How well can we predict future changes in biodiversity using machine learning?
- Hydrant dynamics for acoustic leak detection in water pipes
- If ‘Black Lives Matter’, do ‘Asian Lives Matter’ too? Impact trajectories of organisation activism on wellbeing of ethnic minority communities
- Illuminating luciferin bioluminescence in dinoflagellates
- Imaging quantum materials with an XFEL
- Impact of neuromodulating drugs on gut microbiome homeostasis
- Impact of pharmaceuticals in the marine environment in a changing world
- Improving subsea navigation using environment observations for long term autonomy
- Information theoretic methods for sensor management
- Installation effect on the noise of small high speed fans
- Integrated earth observation mapping change land sea
- Interconnections of past greenhouse climates
- Investigating IgG cell depletion mechanisms
- Is ocean mixing upside down? How mixing processes drive upwelling in a deep-ocean basin
- Landing gear aerodynamics and aeroacoustics
- Lightweight gas storage: real-world strategies for the hydrogen economy
- Machine learning for multi-robot perception
- Machine learning for multi-robot perception
- Marine ecosystem responses to past climate change and its oceanographic impacts
- Mechanical effects in the surf zone - in situ electrochemical sensing
- Microfluidic cell isolation systems for sepsis
- Migrant entrepreneurship, gender and generation: context and family dynamics in small town Britain
- Miniaturisation in fishes: evolutionary and ecological perspectives
- Modelling high-power fibre laser and amplifier stability
- Modelling soil dewatering and recharge for cost-effective and climate resilient infrastructure
- Modelling the evolution of adaptive responses to climate change across spatial landscapes
- Nanomaterials sensors for biomedicine and/or the environment
- New high-resolution observations of ocean surface current and winds from innovative airborne and satellite measurements
- New perspectives on ocean photosynthesis
- Novel methods of detecting carbon cycling pathways in lakes and their impact on ecosystem change
- Novel technologies for cyber-physical security
- Novel transparent conducting films with unusual optoelectronic properties
- Novel wavelength fibre lasers for industrial applications
- Ocean circulation and the Southern Ocean carbon sink
- Ocean influence on recent climate extremes
- Ocean methane sensing using novel surface plasmon resonance technology
- Ocean physics and ecology: can robots disentangle the mix?
- Ocean-based Carbon Dioxide Removal: Assessing the utility of coastal enhanced weathering
- Offshore renewable energy (ORE) foundations on rock seabeds: advancing design through analogue testing and modelling
- Optical fibre sensing for acoustic leak detection in buried pipelines
- Optimal energy transfer in nonlinear systems
- Optimal energy transfer in nonlinear systems
- Optimizing machine learning for embedded systems
- Oxidation of fossil organic matter as a source of atmospheric CO2
- Partnership dissolution and re-formation in later life among individuals from minority ethnic communities in the UK
- Personalized multimodal human-robot interactions
- Preventing disease by enhancing the cleaning power of domestic water taps using sound
- Quantifying riparian vegetation dynamics and flow interactions for Nature Based Solutions using novel environmental sensing techniques
- Quantifying the response and sensitivity of tropical forest carbon sinks to various drivers
- Quantifying variability in phytoplankton electron requirements for carbon fixation
- Resilient and sustainable steel-framed building structures
- Resolving Antarctic meltwater events in Southern Ocean marine sediments and exploring their significance using climate models
- Robust acoustic leak detection in water pipes using contact sound guides
- Silicon synapses for artificial intelligence hardware
- Smart photon delivery via reconfigurable optical fibres
- The Gulf Stream control of the North Atlantic carbon sink
- The Mayflower Studentship: a prestigious fully funded PhD studentship in bioscience
- The calming effect of group living in social fishes
- The duration of ridge flank hydrothermal exchange and its role in global biogeochemical cycles
- The evolution of symmetry in echinoderms
- The impact of early life stress on neuronal enhancer function
- The oceanic fingerprints on changing monsoons over South and Southeast Asia
- The role of iron in nitrogen fixation and photosynthesis in changing polar oceans
- The role of singlet oxygen signaling in plant responses to heat and drought stress
- Time variability on turbulent mixing of heat around melting ice in the West Antarctic
- Triggers and Feedbacks of Climate Tipping Points
- Uncovering the drivers of non-alcoholic fatty liver disease progression using patient derived organoids
- Understanding recent land-use change in Snowdonia to plan a sustainable future for uplands: integrating palaeoecology and conservation practice
- Understanding the role of cell motility in resource acquisition by marine phytoplankton
- Understanding the structure and engagement of personal networks that support older people with complex care needs in marginalised communities and their ability to adapt to increasingly ‘digitalised’ health and social care
- Unpicking the Anthropocene in the Hawaiian Archipelago
- Unraveling oceanic multi-element cycles using single cell ionomics
- Unravelling southwest Indian Ocean biological productivity and physics: a machine learning approach
- Using acoustics to monitor how small cracks develop into bursts in pipelines
- Using machine learning to improve predictions of ocean carbon storage by marine life
- Vulnerability of low-lying coastal transportation networks to natural hazards
- X-ray imaging and property characterisation of porous materials
- Funding your research degree
- How to apply for a PhD or research degree
- How to make a PhD enquiry
- Support while studying your PhD or research degree
- Exchanges and studying abroad
- Undergraduate study
-
Tuition fees and funding
-
Scholarships
-
Postgraduate scholarships for UK students
- Black Futures scholarship
- GREAT Scholarships 2025 – Egypt
- GREAT Scholarships 2025 – France
- GREAT Scholarships 2025 – Ghana
- Postgraduate Taught Diversity Scholarship (Environmental and Life Sciences)
- Southampton Business School Postgraduate UK Scholarship
- Southampton Genomics Talent Scholarship
- Southampton History Patricia Mather and Helen Patterson Scholarship
- Southampton MA Holocaust scholarships
- Southampton Philosophy David Humphris-Norman Scholarship
- Southampton Photonics Impact Scholarship
- Southampton UK Alumni Music Scholarship
- The National Institute for Health and care Research South Central INSIGHT Programme
- The South Coast Doctoral Training Partnership Social Science PhD Studentships
- Undergraduate scholarships for UK students
- Competitive scholarships for international postgraduates
- Competitive scholarships for international undergraduates
- Merit scholarships for international postgraduates
- Merit scholarships for international undergraduates
-
Partnership scholarships for international students
- Scholarships, awards and funding opportunities
- Becas Chile Scholarship
- Chevening Scholarships
- China Scholarship Council Scholarships
- COLFUTURO Scholarships
- Commonwealth Master's Scholarships
- Commonwealth PhD Scholarships
- Commonwealth PhD Scholarships for high income countries
- Commonwealth Shared Scholarships
- Commonwealth Split-Site Scholarships
- FIDERH Scholarships
- Fulbright Awards
- FUNED Scholarships
- Great Scholarships 2024 – Mexico
- Great Scholarships 2024 – Nigeria
- Marshall Scholarship
- Saïd Foundation Scholarships
- British Council Scholarships for Women in STEM
- Southampton Canadian Prestige Scholarship for Law
- Xiamen University PhD Scholarships
- Scholarship terms and conditions
-
Postgraduate scholarships for UK students
-
Scholarships
- Short courses
- Lunchtime evening and weekend courses
- Clearing
- Summer schools
- Get a prospectus
- Student life
-
Research
- Our impact
- Research projects
- Research areas
- Research facilities
- Collaborate with us
-
Institutes, centres and groups
- Active Living
- Advanced Fibre Applications
- Advanced Laser Laboratory
- Advanced Project Management Research Centre
- Antibody and Vaccine Group
- Astronomy Group
- Autism Community Research Network @ Southampton (ACoRNS)
- Bioarchaeology and Osteoarchaeology at Southampton (BOS)
- Bladder and Bowel Management
- Cell and Developmental Biology
- Centre for Defence and Security Research
- Centre for Developmental Origins of Health and Disease
- Centre for Digital Finance
- Centre for Eastern European and Eurasian Studies (CEEES)
- Centre for Empirical Research in Finance and Banking (CERFIB)
- Centre for Geometry, Topology, and Applications
- Centre for Global Englishes
- Centre for Global Health and Policy (GHaP)
- Centre for Green Maritime Innovation (cGMI)
- Centre for Health Technologies
- Centre for Healthcare Analytics
- Centre for Human Development, Stem Cells and Regeneration
- Centre for Imperial and Postcolonial Studies
- Centre for Inclusive and Sustainable Entrepreneurship and Innovation (CISEI)
- Centre for International Film Research (CIFR)
- Centre for International Law and Globalisation
- Centre for Internet of Things and Pervasive Systems
- Centre for Justice Studies
- Centre for Linguistics, Language Education and Acquisition Research
- Centre for Machine Intelligence
- Centre for Maritime Archaeology
- Centre for Medieval and Renaissance Culture (CMRC)
- Centre for Modern and Contemporary Writing (CMCW)
- Centre for Political Ethnography (CPE)
- Centre for Research in Accounting, Accountability and Governance
- Centre for Research on Work and Organisations
- Centre for Resilient Socio-Technical Systems
- Centre for Transnational Studies
- Child and Adolescent Research Group
- Clinical Ethics, Law and Society (CELS)
- Computational Nonlinear Optics
- Cyber Security Academy
- Data Science Group
- Digital Oceans
- EPSRC and MOD Centre for Doctoral Training in Complex Integrated Systems for Defence and Security
- Economic Theory and Experimental Economics
- Economy, Society and Governance
- Electrical Power Engineering
- Environmental Hydraulics
- Gas Photonics in Hollow Core Fibres
- Geochemistry
- Global Health (Demography)
- Global Health Community of Practice
- Gravity group
- Healthy Oceans
- High Power Fibre Lasers
- Hollow Core Fibre
- Human Genetics and Genomic Medicine
- Infection
- Infrastructure Group
- Institute of Developmental Sciences
- Institute of Maritime Law (IML)
- Integrated Photonic Devices
- Integrative Molecular Phenotyping Centre
- Interdisciplinary Musculoskeletal Health
- International Centre for Ecohydraulics Research (ICER)
- Language Assessment and Testing Unit (LATU)
- Laser-Direct-Write (LDW) Technologies for Biomedical Applications
- Law and Technology Centre
- Long Term Conditions
- Magnetic Resonance
- Mathematical Modelling
- Medicines Management
- Molecular and Precision Biosciences
- Multiwavelength Accretion and Astronomical Transients
- National Biofilms Innovation Centre (NBIC)
- National Centre for Research Methods
- National Infrastructure Laboratory
- Nature-Based Ocean Solutions
- Nonlinear Semiconductor Photonics
- Ocean Perception Group
- Operational Research
- Optical Engineering and Quantum Photonics Group
- Paediatrics and Child Health - Clinical and Experimental Sciences
- People, Property, Community
- Photonic Systems, Circuits and Sensors Group
- Physical Optics
- Primary Care Research Centre
- Quantum, Light and Matter Group
- Silica Fibre Fabrication
- Silicon Photonics
- Skin Sensing Research Group
- Southampton Centre for Nineteenth-Century Research
- Southampton Ethics Centre
- Southampton Health Technology Assessments Centre (SHTAC)
- Southampton High Energy Physics group
- Southampton Imaging
- Southampton Theory Astrophysics and Gravity (STAG) Research Centre
- Stefan Cross Centre for Women, Equality and Law
- String theory and holography
- The India Centre for Inclusive Growth and Sustainable Development
- The Parkes Institute
- Tony Davies High Voltage Laboratory
- Ultrafast X-ray Group
- Vision Science
- WSA Exchange
- Work Futures Research Centre (WFRC)
- Support for researchers
- Faculties, schools and departments
- Research jobs
- Find people and expertise
- Business
- Global
- About
- Visit
- Alumni
- Departments
- News
- Events
- Contact
Chemistry with Maths
Mathematical Physics
Mathematics
Mathematics
Mathematics with Actuarial Science
Mathematics with Computer Science
Mathematics with Finance
Mathematics with French
