Mathematics and Its Applications – (M.Sc.)

Contents

You take six modules in total: four from the list of topics modules shown below; a short project module; and a dissertation module. A small number from the list of undergraduate modules may also be taken.

The topics modules each concentrate on a specific topic from: Analysis; Applied Mathematics; Geometry; and Algebra.

The module titles, with sample applications, are:

* Geometric Numerical Integration – prediction of hurricanes
* Nonlinear Waves and Solitons – tsunamis, optical fibres, solitons
* Symmetries, Groups and Invariants – chemical structures
* Asymptotics and Perturbation methods – modelling of physical phenomena
* Quantum Physics – nanotechnology, quantum dots
* Applied Differential Geometry – computer-aided design, robotics
* Applied Algebraic Topology – data analysis, sensor networks
* Nonlinear Analysis and Optimisation – game theory, performance analysis of traffic networks
* Algebraic Curves in Nature – cryptography
* Functional Analysis – photonic crystals
* Mathematics and Music – audio and image processing
* Introduction to Lie Groups and Algebras – integrable systems
* Poisson Algebras and Combinatorics – mathematical economics.

The short project module involves a choice of computational studies, designed to enhance your creativity as well as your understanding of how mathematics is used in a wider context.

The dissertation module involves a longer independent study carried out under the supervision of a member of the Mathematics group. Chosen by the student from a wide range of topics, the dissertation may take the form of an in-depth exposition, a longer open-ended investigation, or a multimedia presentation designed for a more general audience.

Students design a conference poster for the annual Kent Mathematics Student Workshop, based on their short project or dissertation, as well as learning professional mathematical typesetting, how to deliver a technical talk, how to write and edit technical articles, and how to design a successful mathematical project.

Assessment
Assessment is by closed book exams, take-home problem assignments and computer lab assignments (depending on the module). The project and dissertation modules are assessed mainly on the reports or work produced by the student, but also on workshop activities during the teaching term.