between several different project modules in mathematics, statistics or both,
or opting to study a school-based module. Your studies will focus on a diverse
range of topics from partial differential equations and optimisation to
a wide variety of statistical modules including medical and Bayesian
statistics. After graduating, you’ll have the skills and experience needed to
begin your career, or to take a research degree – often including funded places
on MSc's in medical and financial statistics.
MATH3606 Classical and Quantum Mechanics
This module introduces advanced classical mechanics and the key ideas of quantum mechanics to students with a mathematics background. An overarching theme will be the key role of symmetry, both for classical motion and quantum behaviour.
MATH3613 Data Modelling
This module provides an employment relevant tool box of statistical modelling techniques and a rigorous treatment of the some underlying mathematics. The Bayesian framework for statistical inference will be presented and compared with the classical approach. Relevant computational algorithms, including Markov chain Monte Carlo, will be described. Application rich modelling problems will be considered.
MATH3612 Dynamical Systems
This module presents an introduction to the basic concepts and techniques needed to analyse nonlinear dynamical systems modelled by differential equations and difference equations. Both regular and chaotic dynamics will be explored.
MATH3611 Electrodynamics and Relativity
This module introduces Maxwell's theory of electromagnetism and Einstein's theory of special relativity. It includes a wide range of applications of electromagnetism, the Lorentz transformations and some of the apparent paradoxes of relativity together with their resolution. It will also explain why E = mc^2.
MATH3610 Fluid Dynamics
Fluid flow problems are formulated mathematically as systems of partial differential equations. These will then be solved and the results interpreted for a mixture of theoretical and practical examples of both inviscid and viscous fluid flows. Applications studied will include: aeronautics, ocean waves and a variety of industrial topics.
MATH3604 Geometry and Algebra
Plane affine, hyperbolic, and projective geometries will be explored, from the Kleinian point of view. Then an introduction to rings and fields will be given with applications in geometry. All of these topics require a brief review of group theory.
MATH3601 Mathematical Sciences in Context
This module is designed to be an alternative to the MATH3501 individual project. In the module students will perform structured investigations on a variety of advanced topics in mathematics and statistics. Written and oral presentations of the work will be made.
MATH3614 Medical Statistics
The content includes the design and analysis of clinical trials, including crossover and sequential designs and an introduction to meta-analysis. Epidemiology is studied, including case-control and cohort studies. Survival analysis is covered in detail. Computer packages are used throughout.
MATH3607 Multivariate Statistics and Experimental Design
This module covers the general principles of designing experiments and analysing the resulting data, together with methods for analysing multivariate data. Thorough practice is provided in applying all the methods learnt using appropriate computer software.
MATH3609 Optimisation, Networks and Graphs
This module introduces the mathematics of continuous and discrete optimisation. It provides the theoretical background and practical algorithmic techniques required to model and solve a diverse range of problems.
MATH3605 Partial Differential Equations
This module introduces Partial Differential Equations using real-life problems. It provides a variety of analytic and numerical methods for their solution. It includes a wide range of applications including heat diffusion and the Tsunami wave.
MATH3616 Professional Experience in Industry
This module provides an opportunity for final year students to gain experience in applying mathematics in a professional environment and to develop relevant key competencies by working in a commercial environment for one day a week.
MATH3603 Professional Experience in Mathematics Education
This module provides an opportunity for final year students to gain experience in teaching and to develop their key educational skills by working in a school environment for one morning a week over two semesters.
In this module students will work individually and independently, with help and advice from a supervisor, on a topic chosen by the student. This could range from a topic preparing for a particular career or a subject which the student is particularly interested in exploring in depth. Written and oral presentations of the work will be made.
MATH3615 Stochastic Calculus with Financial Applications
This introduces stochastic processes with applications to real problems, especially finance. We introduce the basic concepts of stochastic processes and construct the stochastic integral with respect to Brownian motion. We show how to formulate and solve stochastic differential equations and illustrate these concepts in a variety of examples.
MATH3608 Time Series Analysis and Modelling
This module introduces students to the concepts and methods of time series analysis and modelling for a variety of applications, including finance. The module reviews the main time series models and inferential techniques. Model selection and forecasting are treated both at methodological and computational levels.