UCAS code: G100
Typical offer:
Three years

BSc + Placement Year

UCAS code: GG11
Typical offer: AAA
Length: Four years


UCAS code: G103
Typical offer: AAA
Four years

MMath + Placement Year

UCAS code: GG12
Typical offer: AAA
Length: Five years

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

Dr Sam Marsh gives a short lecture on hyperbolic identities.

How to apply and other entry requirements

Other Mathematics degrees:

See also: Dual courses

Spend a year on placement – and pay reduced fees:

About the course

I chose Sheffield based upon a combination of being impressed with the department and an attraction to the city itself – an attraction that I can honestly say has not waned over time. 

Daniel Graves, MMath Mathematics  READ MORE

Our Mathematics courses 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. You can also learn how to conduct a mathematical investigation as part of a group while you develop your computing and writing skills.

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, mechanics and fluids, probability modelling, computing and simulation, and how the tools of mathematics and statistics can be applied to real-world problems.

There is a vast range of modules for you to choose from in third year and, if you choose one of the MMath courses, fourth year. Topics range from number theory, and knots and surfaces, 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.

If you do one of our research-intensive MMath degrees, you'll spend a third of your final year working on a major independent research project. This year is designed to prepare you for a career in research, with training in how to write mathematical reports and present your findings.

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 find module descriptions on our webpages for current students: Module list

First year

Compulsory modules:

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

Optional modules:

  • Mathematical Investigation Skills
  • Modules from other departments in the University

Second year

Compulsory modules:

  • Advanced Calculus and Linear Algebra

Optional modules:

  • Algebra
  • Analysis
  • Career Development Skills
  • Differential Equations
  • Mathematics and Statistics in Action
  • Mechanics and Fluids
  • Probability Modelling
  • Scientific Computing and Simulation
  • Statistical Inference and Modelling
  • Modules from other departments in the University

Third year

Optional modules:

  • Applied Probability
  • Bayesian Statistics
  • Codes and Cryptography
  • Combinatorics
  • Complex Analysis
  • Continuum Mechanics
  • Differential Geometry
  • Fields
  • Financial Mathematics
  • Fluid Mechanics I
  • Game Theory
  • Graph Theory
  • Groups and Symmetry
  • Group Project
  • History of Mathematics
  • Introduction to Relativity
  • Knots and Surfaces
  • Linear and Generalised Linear Models
  • Machine Learning
  • Mathematical Biology
  • Mathematical Methods
  • Mathematical Modelling of Natural Systems
  • Measure and Probability
  • Medical Statistics
  • Metric Spaces
  • Operations Research
  • Practical and Applied Statistics
  • Quantum Theory
  • Sampling Theory and Design of Experiments
  • Time Series
  • Topics in Number Theory
  • Undergraduate Ambassadors Scheme in Mathematics
  • Waves
  • Modules from other departments in the University

Fourth year

If you do the MMath course, you'll do a major research project in your fourth year, working with professional mathematicians in one of our research groups. You'll also have a range of optional modules to choose from. Current options include:

  • Advanced Operations Research
  • Advanced Particle Physics (via Physics)
  • Advanced Quantum Mechanics (via Physics)
  • Algebraic Topology
  • Analytical Dynamics and Classical Field Theory
  • Analytic Number Theory
  • Bayesian Statistics
  • >Commutative Algebra and Algebraic Geometry
  • Computational Inference
  • Extended Linear Models
  • Fields
  • Financial Mathematics
  • Functional Analysis
  • Galois Theory
  • Linear and Generalised Linear Models
  • Machine Learning
  • Mathematical Modelling of Natural Systems (Advanced)
  • Magnetohydrodynamics
  • Measure and Probability
  • Medical Statistics
  • Optics and Symplectic Geometry
  • Signal Processing
  • Statistical Programming in R
  • Stochastic Processes and Finance
  • Topics in Advanced Fluid Mechanics

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.

Mathematics with a Placement Year

UCAS codes: GG11 / GG12

If you do one of our Placement Year courses, you'll spend 12 months before the final year of your degree on a work placement. This makes these degree programmes a year longer, as you'll still cover the same content as students on our standard BSc and MMath Mathematics degrees.

During your placement year, you'll work full-time, potentially earning a graduate-level salary. You'll pay reduced fees for the year you spend on placement but still have access to all the support you need from the University.

Placements aren't guaranteed – it's your responsibility to secure one but we'll do everything we can to help. Careers staff will help you find the placement that's right for you, and students are often offered graduate jobs at the end.

Previous placement students have gone to:

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

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