Advanced Mathematical Modelling (Taught)

Our MSc Advanced Mathematical Modelling is an advanced course that offers the opportunity to develop skills in understanding, predicting, and solving complex real-world problems.

From climate modelling and fluid dynamics to medical applications and engineering design, the ability to develop and analyse mathematical models is in high demand across industries and research sectors.

This MSc is designed for students who want to apply advanced mathematical techniques to practical challenges. The programme offers:

• a strong foundation in applied mathematics, including mathematical biology, fluid dynamics, numerical analysis, and machine learning

• hands-on experience in developing and analysing models that describe real-world systems

• training in both analytical and computational techniques, ensuring graduates have a versatile skill set

• the opportunity to undertake an individual research project, working on cutting-edge problems in collaboration with academic staff and potentially industry partners

Modelling & Simulation with Applications to Financial Derivatives
Applicable Analysis 3
Fluids & Waves
Finite Element Methods for Boundary Value Problems & Approximation
Optimisation: Theory
Applied Mathematical Methods 1
Foundations of Statistics
Mathematics of Machine Learning
Mathematical Biology & Marine Population Modelling
Mathematical Introduction to Networks
Optimisation for Analytics
Numerical Methods & Deep Learning Algorithms for Partial Differential Equation
Medical Statistics
Effective Statistical Consultancy
Survey Design & Analysis
Quantitative Risk Analysis
Bayesian Spatial Statistics
Statistical Machine Learning
Data Dashboards with RShiny
Deep Learning
Research Project

The form of assessment varies across modules. For most modules, the assessment involves both coursework and practical computer-based or written examinations.

The assessment will require you to demonstrate your computational and mathematical knowledge to model and analyse a suitable situation, and to interpret the results in the context of the research question.

Projects will involve writing code, interpreting outputs, and producing a report, interactive visualisation or presentation outlining the findings from your analysis.

Group work may be undertaken in some modules.

There is also a graded research dissertation.