# Category Archives: BSc projects

## Wave Trapping Around Islands

Islands are subject to tides, seismic waves as well as wind generated waves. If any of these are trapped, that is the energy of the wave goes continuously around the island without escaping then there are practical consequences in terms of flood prediction as well as the detection of signals of say earthquakes or the

## Natural Ventilation

The study of how to ventilate a room without recourse to air conditioning has practical application to theatres and libraries where all but the quietest noise has to be avoided.   This project examines how classical fluid dynamics aids this practical application. You could be using complex analysis through mapping and solving partial differential equations in

## Bayesian Methods for Analysing Historic Data

This project will concern (Bayesian) models for the survival time of historic populations.  Such models can provide interesting historical insights.  For example, we can understand how survival times have increased across the centuries and how they differ between sexes.  In this project will will  develop  survival analysis methodology for populations for which good data are

## Dynamic Social Media Information Extraction

This project concerns the extraction of information from Social Media such as Facebook and Twitter. It will develop methodology to provide an understanding of how sentiments expressed on social media change over time.  A Shiny app that will, for example, provide a user who inputs a topic and a time frame  with a detailed understanding

## Wind Driven Circulation

In the ocean the main gyres responsible for how the sea circulates are generated by the climatic winds. In this project you will derive the equations that govern this process from first principles. These equations will then be solved in order to understand why there are strong currents on the western side of every world

## Divergent Series

This project is for a student who finds the following result shocking but intriguing: 1 + 2 + 3 + . . . = -1/12 This looks wrong in so many ways what with the sum of positive terms being negative and an infinite sum being finite. The aim of the project is to understand

## The Numerical Solution of the p-Laplace Equation in a Geometry with Sharp Corners

Certain types of fluids do not respond in a linear way to external forces – they are called non-Newtonian fluids. A simple model of a non-Newtonian fluid which is widely used in industrial applications (e.g. food processing) is the so-called power-law model. In very slow flows, the governing equation turns out to be the p-Laplace

## Perturbation Methods

Perturbation methods are used to investigate solutions to mathematical problems in which exact solutions can’t be found but in which there is a parameter whose size (usually very small) allows approximate solutions to be found. In this project the aim would be to look at a range of perturbation methods and the types of problems

## The Inverted Pendulum

Why is it that a solid pendulum can be made to stand on its end when it’s other end is made to oscillate? This project will investigate the underlying mathematics behind this very strange phenomena. You could also try modelling this in Maple or even building your own control system to do it. Supervisor: Dr

## Mondromy of Abelian Integrals

This project is related to the change in an complex integral as its defining parameters change. You will need to learn some theory about Riemann surfaces and integrals on them, but I would like this project to have more of a research nature with plenty of experiments (and pictures) in Maple to find out what

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