The Applied Mathematics group offers the MSc in Applied Mathematics as an entry point to graduate study. The MSc consists of five core modules (total 75 credits) covering the main areas of mathematical techniques, modelling and computing skills necessary to become a modern applied mathematician. Students then choose three options, chosen from specific pathways in numerical analysis and industrial modelling (total 45 credits). Finally, a dissertation (60 credits) is undertaken with supervision from a member of staff in the applied mathematics group with the possibility of co-supervision with an industrial sponsor.
The MSc has two optional pathways, reflecting the existing strengths within the group in numerical analysis and in industrial mathematics.
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.
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. 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.