Undergraduate BSc (Hons)

Financial Mathematics with Foundation Year

School of Science, Engineering and Environment



With placement


Four year

Five year

Next enrolment

September 2021


In a nutshell

‘Big data’ is revolutionising global competitive markets. Choosing a financial mathematics degree at Salford is your first step towards an exciting career using your skills in the next-generation of banking and commodities, and emerging Fintech industries.

This foundation year course will advance your mathematics knowledge and skillset. Providing the basis for further study on our highly-rated mathematics degree programmes, this course is the first step towards a lucrative and in-demand career as a mathematician.

The full financial mathematics course is designed to take you to an advanced level. Blending applied methods with cutting-edge themes, like nanotechnology, economic stability and artificial intelligence, you’ll graduate with in-demand skills for the contemporary business environment.

You will:
  • Improve your competencies in essential mathematics
  • Learn to identify, analyse and solve real-world problems
  • Be taught by mathematic and finance experts
  • Have the opportunity to choose a language module to study as part of your degree

options available

This is for you if...


You're passionate about studying mathematics but lack the qualifications for direct entry onto the Honours degree


You're a keen problem-solver who enjoyed mathematics at school/college


You want to develop specialist knowledge in applying mathematics in financial industries

Course details

All about the course

Based on the A-level system, our Foundation Year entry route is an intensive academic programme will improve your competences in mathematics. Led by experienced staff in a small-group environment, using a range of lectures and tutorials, you’ll identify, define and evaluate real-world problems, using applied mathematics to challenge conventional ideas.   

As you gain and develop knowledge during this year, you’ll be well-placed to refine your mathematical skills.  On successful completion of the Foundation Year, you’ll progress to our full BSc Financial Mathematics degree course.

In year one of full undergraduate study, you'll explore core fundamentals of mathematics and consolidate and extend your knowledge. As you progress to year two, you'll model the mathematics of financial derivatives that simulates the stock market. In your final year, you'll complete a final year project in an area of mathematics of your choice. 


Industry placements are a great opportunity to get some hands-on experience and make those early career connections.  On this course, you'll have the option to take an industry placement between years two and three. Although you’ll be responsible for securing your placement, our tutors will support you, monitor your progress and assess your final placement report. By successfully completing a placement year, you can also add 'with professional experience' to your final degree award.

Foundation year

Foundation Mathematics A and B

These modules entail the development of mathematical and modelling skills. Subjects include algebra, transposition of formulae, coordinate systems, logarithms, introduction to calculus, problem solving in velocity and acceleration, differentiation, integration and matrices.

Foundation Physics A and B

This module provides grounding in basic physics and the development of numerical problem solving. The syllabus includes, mechanics, properties of matter and wave propagation. Electronics and electricity are introduced, along with fields (magnetic, electric, gravitation etc.) and atomic and nuclear physics.

Introduction to Probability and Statistics

This module will introduce some core mathematics equivalent to A-level, including basic probability and statistics.

Foundation IT and Study Skills

This module involves the development of IT, research, team working, presentation and scientific reporting skills. In more detail, the use of spreadsheets, graphical representation of data, report writing, scientific presentations and group-based research will be undertaken.

Year one

Linear Algebra

Linear algebra is a fundamental topic which has applications in many branches of mathematics. You will look at the methods and theory behind the solution of simultaneous equations, and you will develop skills in solving linear problems using matrix methods and the concept of abstract vectors.

Mathematical Methods 1

You will build on your A-Level (or equivalent) mathematical techniques and knowledge in preparation for subsequent mathematics modules. Specifically, you will cover the subject of differential equations with applications.

Mathematical Modelling

This module will build upon and extend your A-Level (or equivalent) mathematical techniques providing a mathematical foundation in support of subsequent mathematics modules. You will also cover differential equations with applications and be introduced to problem solving using a symbolic computing environment.


This module will build upon and extend your A-Level (or equivalent) mathematical probability knowledge and develop the subject of probability with applications.

Organisations in a Global Environment

This module introduces you to how organisations function in a global context.

Principles of Economics

This module introduces you to the key concepts of modern economics, including how markets function as the foundation of contemporary economies

Year two

Mathematics of Financial Derivatives 1

This module introduces financial derivatives, their pricing and modeling through various calculus techniques. It introduces Martingales and Ito’s lemma.

Mathematics Methods 2

You will extend your methods in differential and integral calculus, first and second order partial differential equations and methods in differential and integral calculus for the complex variable.

Mathematical Modelling 2

This module will give you experience in business and financial working practices and how to solve practical financial mathematical problems.At the beginning of the module a series of seminars will be given by speakers on a variety of applications in business and finance, and how these impact on their work. Deliverables, which consist of written reports and oral presentations, are assessed on a group basis and are to be produced both during and at the end of the semester to strict deadlines.


You will develop a sound knowledge in probability models and distribution theory, skills in statistics and data analysis and provide an awareness of the principles and scope of data analysis models often implemented in statistical software packages.

Financial Markets and Institutions

In this module, you will develop your knowledge of financial markets and institutions and learn how to apply financial theories under a practical context. You will analyse the role of regulation within financial markets and evaluate academic literature that is related to them.

Choose one option from:

Legal Aspects of Business

This module introduces you to the operation of global legal systems and the areas of law that underpin the practice of effective business management. You will develop a working knowledge of law relating to contracts and their effective negotiation in different business environments.

University Wide Language

Courses are available in: Arabic, German, French, Italian, Japanese, Mandarin Chinese and Spanish.

Year three

Mathematics of Financial Derivatives 2

This module develops detailed mathematical modules for financial derivatives, for example using the Black-Scholes differential equation, Martingales, and also using Fourier Transforms.

Financial Risk Management

This module discusses trading in the financial markets, the financial crisis of 2007, and how to manage risk.


The project will give you the opportunity to develop a mathematical model within a challenging research theme, including those areas prioritised by EPSRC and the EU Research Council and of benefit and importance to society. These are: climate, nanotechnology, renewable energy and sustainable economics. The aim is for you to demonstrate your understanding of the application of mathematics to one of these areas and give you an opportunity to demonstrate your knowledge, understanding and skills.

Operational Research

You will learn the skills to construct mathematically based models to find better solutions to real-life and complex decision-making problems. These models draw upon mathematical knowledge, such as mathematical modelling, statistical analysis, mathematical optimization and artificial intelligence to find an optimal or near-optimal solution to problems from a variety of industries and government areas.

Choose one option from:

International and Business Finance

This module demonstrates key concepts of finance, such as raising capital, capital markets, the structure of firms and evaluating the global financial environment in which firms operate.

Advanced Management Accounting

You will develop your ability to evaluate and analyse financial control processes and consider alternative mechanisms for delivering information to management for control and decision making purposes.

Business Taxation

This module evaluates the UK taxation system and the global environment. You will review core subjects including the taxation of sole traders, partnerships and limited companies.

Please note that it may not be possible to deliver the full list of options every year as this will depend on factors such as how many students choose a particular option. Exact modules may also vary in order to keep content current. When accepting your offer of a place to study on this programme, you should be aware that not all optional modules will be running each year. Your tutor will be able to advise you as to the available options on or before the start of the programme. Whilst the University tries to ensure that you are able to undertake your preferred options, it cannot guarantee this.

What will I be doing?






You will develop your knowledge and skills through a blend of theoretical, collaborative and practical methods. These include:

  • Tutorials and seminars on specific topics
  • Talks and lectures by academics and industry guests lecturers
  • Practical workshops for computer-based problem-based learning exercises
  • Case studies and project work
  • Group assignments
  • Online learning using Blackboard


You will be assessed using a range of relevant methods. These include:

  • Presentations: individual or group presentations of the final outcome to a particular assignment or brief
  • Examinations: usually two hours in duration and aim to test material presented in lectures, workshops and seminars
  • Written assessments: class tests, reports and evaluations
  • Research project presentation:  as an individual or group presentation of the final outcome to a particular assignment or brief
  • Coursework and continuous assessment: which will include class tests, reports and evaluations

Some modules use 50% coursework and 50% exam weighting, but most use 30% coursework/70% exams.

School of Science, Engineering and Environment


Rising to the challenge of a rapidly changing world, our multi-disciplinary courses will shape the next generation of urbanists, scientists, engineers, consultants and conservationists. Shaped by industry and delivered by supportive programme teams, you can develop the skills to become unstoppable in your career. 



You will experience a modern learning environment, enriched with accessible lecture theatres and AV-equipped classrooms, computing suites and multimedia libraries, with access to industry journals, databases, and simulation software. 

Employment and stats

What about after uni?


With a financial mathematics degree from Salford, you'll have a strong knowledge base and understanding of how mathematical and scientific methods can be applied in real-world problem-solving. You'll find graduate roles and career opportunities in a wide range of industries, including finance and investments, market research, meteorology, engineering or operations.


You might find you want to learn more about how to apply data and mathematics, so we offer a range of specialist postgraduate courses to help you take your career and interests even further. Salford graduates and alumni also receive a significant fees discount

A taste of what you could become

A markets trader

An investment analyst

A data analyst

An accountant

And more...

Career Links

This course is extensively informed by collaboration between the university’s academics and industry partners from business, science, engineering and technology. The course team has a wide range of long-standing relationships with businesses and financial service sector companies industry in the North West and beyond.

Continued collaboration with these professions also ensures a stimulating range of external guest lecturers, as well as career networking opportunities and professional memberships.


What you need to know

This course isn’t suitable for international students. If you are an international student and interested in studying a foundation year, please visit our International Foundation Year course page.


We welcome applicants who have studied mathematics or physics subjects at school/college and would like to gain a deeper knowledge in these and other related subjects with particular bias towards data and finance. You will ideally already have some awareness of the finance sector and desire a future career working in this field.


Applicants will be required to show a proficiency in English. An IELTS score of 6.0, with no element below 5.5, is proof of this.

Please note: The entry criteria below are related to entry onto this course in the 2021/22 academic year.

Standard entry requirements


English language and mathematicss at grade C/level 4 or above

You must fulfil our GCSE entry requirements as well as one of the requirements listed below.

UCAS tariff points

64 UCAS points where qualifications include both Mathematics and Physics to A-Level or equivalent standard. 72 UCAS points from any subject combination without Mathematics and Physics

A level

64 UCAS points where qualifications include both Mathematics and Physics. 72 UCAS points from any subject combination without Mathematics and Physics

BTEC National Extended Diploma

MPP for Engineering or science subjects. MMP for subjects without Maths and Physics modules

Access to HE

64 UCAS points from QAA-approved Science or Engineering courses

Scottish Highers

64 UCAS points where qualifications include both Advanced Higher level Mathematics and Physics. 72 UCAS points from any subject combination without Advanced Higher level Mathematics and Physics

Irish Leaving Certificate

64 UCAS points where qualifications include both Higher Level Mathematics and Physics. 72 UCAS points from any subject combination without Higher Level Mathematics and Physics

European Baccalaureate

Pass in Diploma of at least 60%, to include Science, Engineering or Technology

International Baccalaureate

26 points including Higher Level Mathematics or Physics at grade 4

Alternative entry requirements

Salford Alternative Entry Scheme (SAES)

We welcome applications from students who may not meet the stated entry criteria but who can demonstrate their ability to pursue the course successfully. Once we have received your application we will assess it and recommend it for SAES if you are an eligible candidate.

There are two different routes through the Salford Alternative Entry Scheme and applicants will be directed to the one appropriate for their course. Assessment will either be through a review of prior learning or through a formal test.

How much?

Type of study Year Fees
Full-time home 2020/21 £8,250 for Foundation Year and £9,250 for subsequent years.
Full-time home 2021/22 £8,250 for Foundation Year and £9,250 for subsequent years.
Additional costs

You should consider further costs which may include books, stationery, printing, binding and general subsistence on trips and visits.

Apply now

All set? Let's apply

Enrolment dates

September 2021

September 2022

UCAS information

Course ID GN12

Institution S03

Interested in starting university in September 2021? Book your place on our next Open Day.