Mathematics with Placement Year MMath

at University of Sheffield

First year

Core modules:

• Mathematics Core
• Foundations of Pure Mathematics
• Mathematical modelling
• Probability and Data Science
• Mathematical Investigation Skills

Second year
In your second year, you’ll continue to build a powerful toolbox of mathematical techniques that you can apply to increasingly complex problems. There is less compulsory maths and more options, so as well as calculus and algebra, you can study topics including differential equations, the mechanics of motion in fluids and solids, statistical modelling and computer simulations.

Third year

Optional modules:

• Practical and Applied Statistics
• Undergraduate Ambassadors Scheme in Mathematics
• Applied Probability
• Bayesian Statistics
• Codes and Cryptography
• Combinatorics
• Complex Analysis
• Continuum Mechanics
• Differential Geometry
• Fields
• Financial Mathematics
• Fluid Mechanics I
• Game Theory
• Generalised Linear models
• Graph Theory
• Group Project
• History of Mathematics
• Introduction to Relativity
• Knots and Surfaces
• Machine Learning
• Mathematical Biology
• Mathematical Methods
• Mathematical modelling of natural systems
• Measure and Probability
• Medical Statistics
• Metric Spaces
• Operations Research
• Quantum Theory
• Sampling Theory and Design of Experiments
• Time Series
• Topics in Number Theory
• Waves

Fourth year
You'll spend your fourth year on your industry placement. Your placement year is great way to get experience of real-world mathematics and improve your CV. We'll give you all the support you need to find the right employer.

Fifth year

Core modules:

• Mathematics and Statistics Project II
• Project Presentation in Mathematics and Statistics

Optional modules:

• Bayesian Statistics and Computational Methods
• Algebraic Topology
• Analytical Dynamics and Classical Field Theory
• Commutative Algebra and Algebraic Geometry
• Functional Analysis
• Stochastic Processes and Finance
• Topics in Advanced Fluid Mechanics
• Generalised Linear Models
• Machine Learning
• Medical Statistics
• Sampling Theory and Design of Experiments
• Advanced Operations Research
• Advanced Particle Physics
• Advanced Quantum Mechanics
• Analytic Number Theory
• Fields
• Financial Mathematics
• Galois Theory
• Magnetohydrodynamics
• Mathematical modelling of natural systems (Advanced)
• Measure and Probability
• Signal Processing

The A Level entry requirements for this course are:
AAA including Maths

A Levels + additional qualifications AAB, including A in Maths + A in a relevant EPQ; AAB, including A in Maths + B in A Level Further Maths

International Baccalaureate 36, with 6 in Higher Level Maths (Analysis and Approaches)

BTEC Extended Diploma D*DD in a relevant subject with Distinctions in all Maths units

BTEC Diploma DD + A in A Level Maths

Scottish Highers + 1 Advanced Higher AAAAB + A in Maths

Welsh Baccalaureate + 2 A Levels A + AA, including Maths

Access to HE Diploma Award of Access to HE Diploma in a relevant subject, with 45 credits at Level 3, including 39 at Distinction (to include Maths units) and 6 at Merit

Routes for mature students

Other requirements

• We will give your application additional consideration if you have passed the Sixth Term Examination Paper (STEP) at grade 3 or above or the Test of Mathematics for University Admissions (TMUA) at grade 5 or above

English language requirements | 

You must demonstrate that your English is good enough for you to successfully complete your course. For this course we require: GCSE English Language at grade 4/C; IELTS grade of 6.5 with a minimum of 6.0 in each component; or an alternative acceptable English language qualification

Home students
£9,250 annual tuition fee

Overseas students
£22,520 annual tuition fee

Additional costs
The annual fee for your course includes a number of items in addition to your tuition. If an item or activity is classed as a compulsory element for your course, it will normally be included in your tuition fee. There are also other costs which you may need to consider.

Smartphones, tablets, social networks and streaming services all use software and algorithms that need mathematical brains behind them. In the age of ‘big data’, everyone from rideshare apps to high street shops is gathering information that maths graduates can organise, analyse and interpret. The same technological advances have created new challenges and opportunities in cybersecurity and cryptography.

If the maths itself is what interests you, a PhD can lead to a career in research. Mathematicians working in universities and research institutes are trying to find rigorous proofs for conjectures that have challenged pure mathematicians for decades, or are doing the calculations behind major experiments, like the ones running on the Large Hadron Collider at CERN.