About this course
Mathematicians are in demand in business and finance. Their skills are used to develop techniques from forecasting changes in stock and commodity markets to supporting financial products such as stock options and futures. You’ll graduate with a strong background in finance and strong quantitative skills. This could lead to a career in international banking, accountancy, the stock market, financial consultancy, government or the civil service.
The BSc Mathematics with Finance course provides a firm foundation in areas such as algebra, calculus and differential equations. It also develops the area of statistics and its importance in finance and gives a grounding in micro and macroeconomics.
As part of this course you’ll:
- develop your abilities in problem-solving, accurate calculation and logical argument
- study portfolio analysis, financial management, accounting, international banking and futures and options
- 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 in fields, such as business and trade statistics, survey measurement and data integration.
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
AAA or AABB including Mathematics (grade A)
A-levels additional information
If a STEP paper is taken alongside three A-levels then the offer will be AAB including Mathematics (grade A). We accept either of the two STEP papers. For more details about STEP 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: AAB including Mathematics (grade A) 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 36 points overall with 18 at Higher Level, including 6 points from Higher Level Mathematics (Preferred Mathematics module is Analysis and Approaches, but Applications and Interpretation is 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, all of which must be at Distinction
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 H1 H2 H2 H2 H2 including Mathematics at H2
Irish Leaving Certificate (first awarded 2016)
A1, A1, A1, A1, A1, A1 including Mathematics
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 D3 in three Principal subjects including Mathematics
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
AAA from 3 A levels including Mathematics or AA from two A levels including Mathematics and A 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 programme gives you a good knowledge of finance and strong quantitative skills. This is a structured course, covering central topics from mathematics alongside statistical modelling, simulation and mathematical finance.
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 fundamentals like linear algebra and calculus. While calculus may already be familiar, you’ll gain a deeper understanding of the underlying ideas, before moving on to extend these ideas into higher dimensions. Linear algebra begins with the algebra of vectors and matrices, before delving into more rigorous and abstract concepts, such as groups and fields. You’ll also get a taste of statistics and operational research.
Year 2 overview
You’ll continue to study core topics from mathematics such as differential equations and deepen your study of statistics. This includes statistical distributions and statistical modelling.
You’ll also learn about stochastic processes. These are random processes, that can be used for modelling variables which fluctuate randomly, such as stock and share prices.
Modules also cover accounting and economics and financial mathematics. 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 final year, you’ll study futures and options, international banking and mathematical finance.
You’ll have the option to pick topics from actuarial mathematics, operational research or pure mathematical options, such as complex analysis. You can also continue to build your expertise in probability and statistics, by studying inference or the design of statistical experiments.
You’ll also undertake a project, choosing from:
- 'Maths and your Future': working in small teams to analyse data and apply your mathematical learning to a problem that has been raised by a local or national employer.
- ‘Mathematical Investigation and Communication’: applying your skills of modelling and computation to topics such as, financial time series or simulating stock prices.
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:
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 ...
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:
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 ...
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...
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...
Intermediate Microeconomics
This module will familiarise students with the central concepts of microeconomics, building on the foundations laid in ECON1001/ECON1003. Students will gain a clear understanding of the role of the price mechanism in organising economic activity and of ch...
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...
Stochastic Processes
The module will introduce the basic ideas in modelling, solving and simulating stochastic processes.
Year 3 modules
You must study the following modules in year 3:
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...
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...
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...
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...
Principles of Finance
The module aims to provide a bridge to the more theoretical articles in finance theory, by offering a simple framework of conceptual knowledge that enables thinking while making financial decisions. As such the module gives an appreciation of the scope of...
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...
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...
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 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 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.
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:
- 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
- teamwork
- 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
- teamwork
- written exams
Your assessment breakdown
Year 2:
Year 3
Study time
Your scheduled learning, teaching and independent study for year 3:
How we'll assess you
- coursework, laboratory reports and essays
- individual and group projects
- teamwork
- written exams
Your assessment breakdown
Year 3:
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 and employability
Employability skills
This degree will allow you to develop and evidence subject-specific and targeted employability skills. This includes the required skill set for a range of future careers, further study, or starting your own business.
The skills you can expect to focus on and gain from this course include:
- Research
- Critical thinking
- Self-management
- Communication
- Problem solving
The employability and enterprise skills you'll gain from this course are reflected in the Southampton skills model. When you join us you'll be able to use our skills model to track, plan, and benefit your career development and progress.
Download skills overview
Career pathways
Graduates commonly work in a range of organisations or sectors including:
Education,
Engineering,
Finance,
Banking,
Accountancy,
Government,
Insurance,
IT,
Business consultancy,
Marketing,
Market research,
Health,
Research.
- Actuary
- Chartered accountant
- Compliance officer
- Data analyst
- Economist
- Financial manager
- Financial risk analyst
- Investment analyst
- Political risk analyst
- Statistician
- Business development manager
- Data scientist
- Diplomatic service officer
- Local government officer
- Management consultant
- Policy officer
- Political assistant
- Procurement manager
- Quantity surveyor
- Risk manager
- Trainee accountant
- Analyst
- Assistant economist
- Senior audit associate
- Business analyst
- Business development manager
- Data analyst
- Surveyor
- IT resourcer
- Research Advisor
Job prospects for BSc Mathematics with Finance graduates
*Example graduate job titles and job prospect statistics taken from The Graduate Outcomes Survey, which gathers information about the activities and perspectives of graduates 15 months after finishing their course.

Year in employment
You can apply for a year in employment placement on this course. This is a great way to improve your employability and confidence in your career prospects. Recommended by 100% of students who've taken part, you can apply for a UK or global placement in any sector.
Careers services and support
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.
Your career ideas and graduate job opportunities may change while you're at university. So it is important to take time to regularly reflect on your goals, speak to people in industry and seek advice and up-to-date information from Careers, Employability and Student Enterprise professionals at the University.
Fees, costs and funding
Tuition fees
Fees for a year's study:
- UK students pay £9,535.
- EU and international students pay £23,400.
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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