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This programme provides a solid training in mainstream mathematics and will give you an insight into modern developments in mathematics.
The course is ideal for those who wish to take their studies of mathematics beyond the BSc level, for interest or to develop future employment opportunities. It also provides an excellent preparation for research for an MPhil or PhD. At Leeds we have a range of research opportunities available and in some cases you can progress to a PhD on the basis of a specified performance in the MSc.
This course is designed to build on existing mathematical skills and allow students from a wide range of backgrounds to both broaden and deepen their understanding of their chosen branch of mathematics. The course allows specialisation in areas of pure mathematics, applied mathematics or statistics and allows the flexibility to cover a range of areas or to concentrate on one specific area.
There are a range of taught modules to choose from which provide the opportunity to combine mainstream, advanced mathematical topics and innovative methods selected from the research interests of the School of Mathematics.
You must enrol on 180 credits in total, made up from both taught modules and an individual research project (dissertation).
The dissertation will be assessed based on 85% from the written report, and 15% from an oral presentation. It will contribute 60 credits to the overall total.
Modules typically available include:
Algebra
* Algebra at Leeds is concentrated on ring theory and algebraic geometry.
Functional Analysis
* Two modules take you from BSc analysis through measure theory, Banach spaces and Banach algebras.
Logic
* Members of the very strong Logic Group at Leeds give at least two modules, for example on Set Theory and Computability.
Differential Geometry 2
* This module looks at further study of curves and surfaces, in particular, to understand what properties of curves and surfaces are intrinsic, extrinsic, local, or global, and to give some applications.
Advanced Quantum Mechanics
* This module provides the basic theory, explaining how in quantum mechanics the states and observables of a single-particle system is described and how predictions are made about the probable outcomes of experiments.
Time Series
* In time series, measurements are made at a succession of times, and it is the dependence between measurements taken at different times which is important. The module will concentrate on techniques for model identification, parameter estimation, diagnostic checking and forecasting.
Advanced Hydrodynamic Stability
* This module provides an introduction to the idea of the instability of fluid flows. This is a very important concept in hydrodynamics. The ideas will be illustrated by looking in detail at three problems; the instability of shear flows, the instability of rotating fluids, and the instability of fluids due to convection.
Advanced Polymeric Fluids
* Firstly it gives an introduction to the phenomenology of the subject what kind of things do these fluids do when they flow? Then, the module focuses on a particular class of fluids, those containing polymer molecules.
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