The modules we outline here provide examples of what you can expect to learn on this degree course based on recent academic teaching. The precise modules available to you in future years may vary depending on staff availability and research interests, new topics of study, timetabling and student demand.
Year 1
The first year modules introduce you to the main areas of university-level Mathematics, with topics covered including Formal Mathematics and Proof, Analysis, Algebra, Calculus, Modelling, Probability and Statistics. Our Foundations of Mathematics module helps support background knowledge from A level, especially if you did not take Further Mathematics, and several modules help develop computer skills.
- Foundations
- Mathematical Structures
- Mathematical Methods
- Mathematical Modelling
- Probability, Statistics and Data
Year 2
In your second year you can choose from a number of streams that develop your understanding of Real and Complex Analysis, Abstract and Linear Algebra, Applied Mathematical Modelling and Statistics. Optional modules give you the opportunity to learn about more specialised topics. Up to 30 credits of elective (free choice) modules can be taken, with at most 15 credits outside the disciplines of Engineering, Mathematics and Physics. Up to 30 credits of elective (free choice) modules can be taken from any discipline in the University subject to approval, pre-requisites, timetabling and availability.
- Differential Equations
- Vector Calculus and Applications
- Modelling: Theory and Practice
Year 3
As you move in to the third year you can choose from many advanced topics directly related to fluid dynamics. You’ll also have the ability to choose from a wide variety of optional modules in advanced mathematics from across the department. Up to 30 credits of elective (free choice) modules can be taken from any discipline in the University subject to approval, pre-requisites, timetabling and availability.
- Fluid Dynamics
- Partial Differential Equations
- Computational Nonlinear Dynamics
- Research in Mathematical Sciences
Final year
During your final year, in addition to masters-level advanced modules in the area of Fluid Dynamics, you will undertake an independent research project supervised by a member of academic staff. A large range of optional modules is available to choose from, allowing you to tailor your studies to your interests and reflecting the range of research interests of the department from algebra and number theory, through dynamical systems and fluid mechanics, to statistics, climate, biomedical and data science. Up to 30 credits of elective (free choice) modules can be taken from any discipline in the University subject to approval, pre-requisites, timetabling and availability.
- Fluid Dynamics of Atmospheres and Oceans
- Waves, Instabilities and Turbulence
- Magnetic Fields and Fluid Flows
- MSci Project
