Financial Mathematics


UCAS code: GN13
Typical offer:
Three years

International students
Don't meet our
entry requirements?
Pathway programme at our International College

Spend a year on placement – and pay reduced fees:

How to apply and other entry requirements

Other Mathematics degrees:

See also: Dual courses

About the course

Lots of mathematics graduates work in the financial sector. This course includes modules taught by experts in the Sheffield University Management School and the Department of Economics, so that you can graduate with specialist knowledge of the tools and practices applied in the finance industry, as well as the fundamental mathematics underpinning it.

In first year, you'll have the option to take Management School or Economics modules covering topics including economic analysis and policy, financial accounting and financial management. In second year, you'll be able to look at more advanced topics, such as microeconomics, macroeconomics, econometrics and corporate finance. There are are a range of Management School and Economics modules for you to choose from in third year, covering the complexities of the modern finance industry and financial instruments such as derivatives.

Your mathematics modules will cover a range of topics across pure mathematics, applied mathematics, and probability and statistics. You'll start by building on your existing knowledge, studying subjects including calculus, differential equations, geometry and algebra. There are also modules on core topics in probability and statistics, and numbers and groups.

In second year, you'll continue to build a powerful toolbox of mathematical techniques, which you can apply to increasingly complex problems. As well as advanced calculus and algebra, you can study topics including statistical inference, probability modelling, analysis, and how the tools of mathematics and statistics can be applied to real-world problems.

There is specialist training in topics such as stochastic processes in finance in third year. There is also a vast range of optional mathematics modules for you to choose from. Topics range from number theory and Bayesian statistics, to codes and cryptography, and the history of mathematics. This gives you the freedom to focus on the topics that interest you the most and develop specialist knowledge for your chosen career. Lots of modules include project work, so that you get the chance to put your mathematics skills into practice in lots of different scenarios.

Course structure

Below are some examples of topics covered in this degree from the current academic year. There may be some changes before you start your course.

You can module descriptions on our webpages for current students: Module list

First year

Compulsory modules:

  • Mathematics Core I
  • Mathematics Core II
  • Introduction to Probability and Statistics
  • Numbers and Groups

Optional modules:

  • Economic Analysis and Policy
  • Introduction to Financial Accounting
  • Introduction to Financial Management

Second year

Compulsory modules:

  • Advanced Calculus and Linear Algebra
  • Analysis
  • Probability Modelling
  • Statistical Inference and Modelling

Optional mathematics modules:

  • Career Development Skills
  • Mathematics and Statistics in Action

Optional finance modules:

  • Econometrics
  • Financial Management
  • Intermediate Macroeconomcs
  • Intermediate Microeconomics
  • Introduction to Corporate Finance and Asset Pricing

Third year

Compusory modules:

  • Financial Mathematics
  • Metric Spaces
  • Stochastic Processes and Finance

Optional mathematics modules:

  • Applied Probability
  • Bayesian Statistics
  • Codes and Cryptography
  • Combinatorics
  • Complex Analysis
  • Computational Inference
  • Differential Geometry
  • Game Theory
  • Graph Theory
  • Group Project
  • History of Mathematics
  • Knots and Surfaces
  • Linear and Generalised Linear Models
  • Machine Learning
  • Measure and Probability
  • Medical Statistics
  • Operations Research
  • Practical and Applied Statistics
  • Sampling Theory and Design of Experiments
  • Time Series
  • Topics in Number Theory

Optional finance modules:

  • Corporate Finance
  • Financial Derivatives
  • Further Econometrics
  • Modern Finance
  • Topics in Advanced Macroeconomics
  • Topics in Advanced Microeconomics

The content of our courses is reviewed annually to make sure it's up-to-date and relevant. Individual modules are occasionally updated or withdrawn. This is in response to discoveries through our world-leading research; funding changes; professional accreditation requirements; student or employer feedback; outcomes of reviews; and variations in staff or student numbers. In the event of any change we'll consult and inform students in good time and take reasonable steps to minimise disruption.

Degree with Employment Experience

If you're studying this degree programme, you can join the University of Sheffield's Degree with Employment Experience programme and do a year-long work placement between your second and third year. This makes the degree four years long, rather than three. You'll pay reduced fees for the year you're on placement and you'll still have access to your tutor and the support you need from the university. Most students earn salaries during their placements too.

Complete your placement successfully and we amend your degree title to reflect your experience: BA Financial Mathematics with Employment Experience.

Our students have done placements at organisations that include:

  • Unilever
  • IBM
  • Virgin
  • Goldman Sachs
  • Lloyds Banking Group
  • Department of Work and Pensions

Placement years and employment experience

Ashis, pictured, spent a year of his degree working as a financial risk analyst for Lloyds Banking Group.

Ashis Patel

The placement year really helped me to develop a range of skills, including team work, organisation, communication and presentation skills. Over the year, I became much more independent.

Ashis Patel, BSc Mathematics  READ MORE