Manchester has been at the forefront of Applied Mathematics for over a century, and has acted as home to leading Mathematicians including Lamb, Lighthill, Richardson, Goldstein and Turing.
Today, our Applied Mathematics research group has diverse expertise; carrying out research in the areas of combustion theory, experimental research, fluid dynamics, granular materials, inverse problems, numerical analysis, scientific computing, solid mechanics, stochastic differential equations, and waves.
All of these areas are of extreme importance in understanding and modelling the world around us as well as being of scientific interest in their own right.
This MSc develops the core mathematical skills required to carry out research in these areas and allows students to specialise through choice of taught units and the writing of a research dissertation. The latter can be carried out with an industrial sponsor.
Within this course, students can take either the general MSc in Applied Mathematics or choose the specific Industrial Modelling pathway or the Numerical Analysis pathway.
Industrial Modelling Pathway
This pathway forms an important part of our industrial engagement and significant interaction with industrial partners takes place during the course, including industrial sponsorship and invited lectures from industrial partners.
Industrial Mathematics (any aspect of mathematics that can influence the way industry approaches or solves problems) is having an increasing importance within a variety of industrial sectors. This is reflected by the enhanced funding from industry for this course. Typical examples of industrial modelling problems are modifications to the way that fluid is pumped through a pipe, the design of algorithms for data encryption, modelling new types of materials used for sound reduction, understanding the instability between fluids of different viscosities, and determining how soft tissue deforms under applied forces.
Numerical Analysis Pathway
Numerical Analysis — the study of algorithms for the problems of continuous mathematics — has been an area of strength since the first stored-program electronic digital computer, the Baby, was born at the University of Manchester
in 1948, and we have run an MSc course in numerical analysis continuously since 1959.
The MSc in Applied Mathematics with Numerical Analysis develops essential skills for analysing, designing and implementing mathematical algorithms for leading edge scientific computing.
It covers the whole spectrum from fundamental theory through to software development. It is ideal preparation for PhD studies in Manchester's postgraduate community and opens up a wide range of career opportunities.
The entry requirement to the programmes is normally a good upper second class honours degree in Mathematics or a Mathematically-related discipline or an equivalent overseas qualification in a Mathematical subject