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More in this section Undergraduate

Degree programmes

Mathematics is a subject that can be studied on its own or combined with another subject. It can be difficult deciding which combination to choose (if any), which is why our degree programmes are as flexible as possible in the early stages.  

Read about the combined degrees on offer at Royal Holloway below, as well as some of the units you are likely to study. Discover more information about these on the course units page.  

Mathematics BSc (three years) and MSci (four years)

These degree programmes aim to convey the power, beauty and excitement of Mathematics and to give you a solid foundation in the subject so you can go on to study it further or use it in your future career.

The MSci degree is primarily aimed at those of you who will continue to use Mathematics at a high level after graduation – for example for a PhD, in research or industry. On the other hand, the BSc is aimed at those of you who will use mathematical skills in areas such as administration, management, accountancy and teaching. We realise that on entry most of you won’t have decided on a career so the BSc and MSci have a common first year. You can choose to swap to an MSci if you started studying a BSc at the start of your second year.

Example course units:


Numbers and functions

Introduction to Applied Mathematics

Mathematics with Statistics

Statistics is based on Mathematics, not only because the data used are usually numerical, but because the fundamental concepts of probability theory are closely linked to pure Mathematics. This means there is a great need for graduates with a good understanding of Mathematics who can use statistical methods correctly to collect data and who know how to use this data. This degree aims to produce such graduates.

Example course units:

Principles of Statistics

Statistical Methods

Mathematics in the Classroom

Mathematics as a major subject (Mathematics equates to 75 per cent)

Mathematics with Management

All business organisations face problems which are basically quantitative and managers must make decisions on, for example, the allocation or acquisition of resources.  Over the last 50 years, mathematical techniques have been applied with great success to routine problems leaving more time for managers to tackle more difficult situations. Each year, more powerful and sophisticated techniques are being introduced so that messy, ill-posed managerial problems can be handled. Most managers don’t have the mathematical background to understand these techniques, while consultants often don’t know the background to the problems. We aim to fill this gap and provide graduates with some understanding of business, as well as a thorough grasp of the appropriate branches of Mathematics.

Example course units:

International Financial Accounting

Strategic Management

Mathematics of Financial Markets


Mathematics with a Modern Language (French,Spanish, Italian or German)

The concept of Mathematics as a universal language is a powerful one and like other languages it can be studied for its own sake and as a vehicle for transmitting ideas. This makes it logical to study Mathematics with a foreign language – and this option opens up a wide range of careers.

These degrees combine most of the specialist Mathematics BSc degree with a study of the spoken and written appropriate language. These are three-year degrees and don’t include a Year Abroad.

Example course units

Pratique de l’Oral: La France à travers ses médias [Core Spoken Language]

Number Systems

Vector Analysis and Fluids

Mathematics with Philosophy

Philosophy addresses fundamental questions about knowledge, reasoning, our view of the universe and their impact on people’s lives. Many questions, such as ‘what is a number?’ or ‘is Mathematics discovered or invented?,’ are basically philosophical and Greek philosophers introduced the idea of applying Mathematics to describing the universe.

The Philosophy courses in the programme include Greek and Roman Philosophy, Modern European Philosophy and the Philosophy of Politics.

Example course units

From Euclid to Mandelbrot

Matrix Algebra

Introduction to Ancient Philosophy

Joint Honours (Mathematics accounts for 50 per cent)

Computer Science & Mathematics

There’s an obvious connection between Computer Science and Mathematics – many of the subjects studied by computer scientists are basically mathematical and there is no branch of Mathematics that hasn’t been radically altered by computer techniques.

A degree in Computer Science & Mathematics is a relevant and useful subject. This combination opens up a very wide range of career opportunities.

Example course units

Mathematical Structures

Software Engineering

Linear Algebra and Project

Economics & Mathematics

Economic analysis relies more and more on mathematical foundations. Optimal individual behaviour is found through the use of calculus, the dynamic properties of economics are studied with difference and differential equations, and important results in welfare economics are established from topological properties.

In areas of management consulting and financial institutions, advanced mathematics and computing are vital in determining the best strategy for the firm and for investing in different assets. The Economics courses consider the analysis of individual behaviour and markets, with options in financial and industrial economics and numerous other fields such as econometric analysis.

The Mathematics courses consider the fundamental properties of the Mathematics used, from calculus to probability and statistics, mathematical programming and game theory.

Example course units

Finance & Mathematics

Just as physical quantities such as distance and time are described numerically, and the laws of physics use mathematics, money is quantitative and the study of finance needs a good knowledge of mathematics.

This degree provides the mathematical skills and the economic background needed, and gives insight into ideas such as risk and return, volatility and the sophisticated mechanisms observed in financial markets. Graduates from this programme will be well placed to find jobs in the City, in banking and financial consultancies.

Example course units

Advanced Financial Mathematics

Mathematics & Management

Managers in any business are faced with varied and usually complex situations. There are always issues of finance, logistics, inventory control, scheduling and so on – and the skills developed in a Mathematics degree are just the ones needed.

Combine these with a study of Management and Accounting and you’ll be well-equipped when you graduate.

Example course units

Managerial Accounting

Strategic Management Accounting

Modern Business in Comparative Perspective

Mathematics & Music 

Both Mathematics and Music are concerned with the creation, understanding and analysis of abstract patterns. In the 6th century BC Pythagoras and his followers developed a unified theory of arithmetic, geometry and music, based on ideas of proportion and harmony.

This was the μάθημα, or ‘what should be learnt’, from which the name Mathematics comes. Though the link between Mathematics and Music is not so close now, it is still worth combining these two subjects.

Example course units

Theory and Analysis

Introduction to Historical Musicology

Creative Ensemble Performance

Mathematics & Physics BSc (three years) and MSci (four years)

Mathematics and Physics are two branches of knowledge which have formed a fruitful partnership for centuries, enabling us to explain and predict the behaviour of the universe. They form a natural combination for a degree course. The compulsory core of the course contains the fundamental ideas of Physics, the useful ideas and techniques of Mathematics and the wide range of options available allows you to pursue your own interests.

The MSci degree is aimed at those who wish to develop an advanced understanding of how mathematics can describe and predict the physical universe and a wide range of transferable skills. It is aimed primarily at those who will continue to use mathematics and physics at a high level after graduation, for example in research or industry.

We realise that on entry most students will not have chosen a career so the BSc and MSci programmes have a common first year so you can decide between them at the start of your second year.

Example course units

Functions of Several Variables

Complex Variable

Major Project - Physics 

Joint Honours with Mathematics as a minor ( Mathematics comprises 25 per cent)

BA French with Mathematics

This degree enables you to combine your study of French with Mathematics and gives you the chance to spend your third-year in a French-speaking country. French forms 75 per cent of this degree while the remaining 25 per cent is dedicated to Maths.

This diverse and stimulating course allows you to explore the French language, culture and literature in depth, while introducing you to the tools of the mathematician. After the introductory course units, you can study specialist subjects.

Example course units

Perspectives on Modern France: Crisis, Nation, Identity

Landmarks: Reading the Classics of French Literature


BSc Management with Mathematics

On this degree programme, you'll cover all the key areas of Management, from strategy to marketing and from accounting to e-commerce, helping you gain relevant skills for your future career in business and management. 

You'll learn an array of Management topics 75 per cent of the time, while the remaining 25 per cent is made up of Mathematics course units, which will underpin the Management skills you acquire.

Example course units

Managerial Economics

Accounting for Corporate Accountability

Matrix Algebra



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