About this course
This course is not open to applicants for 2025 entry. Search similar degrees by browsing our course finder.
Spend your third year in Spain, studying maths at one of our partner universities. This degree is a fantastic opportunity to immerse yourself in Spanish, while developing your mathematical problem-solving skills. You’ll study pure and applied mathematics, statistics and operational research. You’ll graduate with sought after skills in mathematics as well as experience of working and studying in another language.
This BSc Maths with Spanish degree covers the foundations of algebra, calculus 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:
- be able to specialise in pure or applied mathematics, operational research or statistics
- become proficient in Spanish, understanding subtleties and holding formal and informal conversations with ease
- spend your third year at one of our Erasmus partner institutions in Madrid, Malaga, or Santiago de Compostela
- 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'
You’ll be taught through a combination of lectures and workshops by leading researchers. Their fields of expertise include 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).
Learn more about these subject areas
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.
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 degree gives you a technical background in mathematics. You'll also gain advanced skills in communicating in Spanish by following our 7-stage language learning programme.
In your first 2 years you'll build a foundational knowledge of maths. You'll also gain skills in listening, understanding, speaking and writing in Spanish.
Your third year gives you the opportunity to immerse yourself in Spanish language and culture as you study in a maths department at a partner university in Spain.
Your final year gives you the opportunity to build your language skills and choose specialist areas in maths.
You do not need to select your modules when you apply. Your academic tutor will help you to customise your course.
Year 1 overview
You'll cover fundamental areas of maths. You'll expand your existing knowledge of calculus by gaining a deeper understanding of its' underlying ideas, and then extending them into higher dimensions.
Linear algebra develops yours skills in accurately manipulating vectors and matrices.
You'll also learn about probability and statistics, and explore operational research.
You'll complete Spanish Language Stage 4, which will give you skills to:
- extract and synthesise key information from written and spoken sources
- develop analytical and evaluative thinking
- learn problem-solving skills
Year 2 overview
In maths, you'll learn about analysis and differential equations. You'll be able to choose different groups of modules. For example, you can:
- study group theory - one of the great simplifying and unifying ideas in modern mathematics, along with geometry and topology
- focus on applied mathematics - applying the techniques from complex numbers and multivariable calculus to model airflow over a wing
- choose statistics - learning about statistical distributions and statistical modelling
There are also options from operational research or financial mathematics.
In Spanish, you'll progress to Stage 5. This will give you skills to:
- reflect critically and make judgements based on evidence and argument
- interpret layers of meaning within texts and other cultural products
- use language creatively and precisely for a range of purposes and audiences
Year 3 overview
You'll spend your third year in Spain, usually in the mathematics department of an Erasmus partner university.
This year is your opportunity to immerse yourself in Spanish, and gain a deep understanding of the social, economic and political make-up of your host country.
Year 4 overview
You'll return to Southampton to complete your degree. From pure mathematics you could study:
- Galois theory
- number theory
- infinite dimensional spaces
- algebraic invariants of a shape
Or, you could apply your statistical knowledge to the design of experiments or to simulating statistical events.
In applied mathematics you could:
- model black holes and cosmology
- model epidemics and biochemical reactions
- learn about Laplace and Fourier transforms
- study solutions of the Navier-Stokes equation
You could also choose from topics in optimisation, actuarial mathematics, or modern applications of mathematics such as machine learning and social networks.
You’ll also complete a project, choosing from:
- Maths and your Future - work in a small team to analyse data and apply your mathematical learning to a problem raised by a local or national employer
- Mathematical Investigation and Communication - learn independently about new areas of mathematics, or apply your skills of modelling and computation
- Communicating and Teaching Mathematics - act as an ambassador for mathematics in schools and gain classroom experience
You'll complete your Spanish studies at Level 7, which is an advanced level of proficiency. You'll be able to understand the language with ease, including subtleties of meaning and nuance.
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 ...
First Year Mathematics Workshop
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
Spanish Language Stage 4
The aim of every language course at the University is to enable you to communicate in your target language (TL) at that particular level and in your particular area of interest. We use the word ‘communicate’ in its widest sense, meaning that you will not ...
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...
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...
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...
Managing Research and Learning
The module will prepare participants for a period of residence abroad, and clarify the links between the Residence Abroad Portfolio (RAP) and specific teaching and learning experiences taking place in years two and four.
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...
Spanish Language Stage 5
The aim of every language course at the University is to enable you to communicate in your target language (TL) at that particular level and in your particular area of interest. We use the word ‘communicate’ in its widest sense, meaning that you will not ...
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:
Year 4 modules
You must study the following modules in year 4:
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...
Spanish Language Stage 7
The aim of every language course at the University is to enable you to communicate in your target language at that particular level and in your particular area of interest. We use the word ‘communicate’ in its widest sense, meaning that you will not only ...
You must also choose from the following modules in year 4:
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...
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...
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...
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...
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...
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, ...
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...
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 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 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
- individual and group projects
- oral presentations
- teamwork
- written and practical exams
- written 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
- individual and group projects
- oral presentations
- teamwork
- written and practical exams
- written 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
Philip Greulich is the course leader.
Careers
You'll be able to take an optional module, Maths and your Future, to boost your professional expertise.
A maths and language degree will equip you for a range of careers or further study options. Your year abroad will also help you to stand out to future employers.
Our maths graduates have gone on to work as:
- actuaries
- economists
- statisticians
- teachers
- programmers
- software developers
- 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.
Fees, costs and funding
Tuition fees
Fees for a year's study:
- UK students pay £9,250.
- EU and international students pay £23,400.
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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