Taught course

Applied Mathematics

The University of Manchester · Faculty of Engineering and Physical Sciences

Entry requirements

The entry requirement to the programmes is normally a good honours degree in mathematics or a mathematically-related discipline or an equivalent overseas qualification in a mathematical subject

Industrial Modelling Numerical Analysis

Months of entry


Course content

The Applied Mathematics group in the School of Mathematics at the University of Manchester has a long-standing international reputation for its research. This research activity is led by thirteen professors with expertise in a range of topics, including Computational Mechanics and Biomechanics ( Heil); Granular Flow ( Gray); Dynamical Systems ( Broomhead, Glendinning); Financial Mathematics ( Duck, Fedotov); High Speed Fluid Dynamics ( Gajjar); Inverse Problems ( Lionheart); Numerical Analysis and Scientific Computing ( Dongarra, Higham, Silvester) and Waves in complex media ( Abrahams).
The Applied Mathematics group offers the MSc in Applied Mathematics as an entry point to graduate study. The MSc has two pathways, reflecting the existing strengths within the group in numerical analysis and in industrial mathematics. 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 course aims to develop core skills in applied mathematics and allows students to specialise in industrial modelling or numerical analysis, in preparation for study towards a PhD or a career using mathematics within industry. An important element is the course regarding transferable skills which will link with academics and employers to deliver important skills for a successful transition to a research career or the industrial workplace.

The course features a transferable skills module, with guest lectures from industrial partners. Some dissertation projects and short internships will also be available with industry.

Module details
CORE (75 credits)
1. Mathematical methods
2. Partial Differential Equations
3. Scientific Computing
4. Dynamical Systems
5. Transferrable skills for mathematicians
Industrial modelling pathway
1 Continuum mechanics
2. Stability theory
3. Conservation and transport laws
Numerical analysis pathway
1. Numerical linear algebra
2. Finite Elements
3. Optimization and variational calculus

Information for international students

Students whose first language is not English require a minimum score of IELTS 6.5 with at least 6.0 in writing and 5.5 in each other component or equivalent.

Fees and funding

A limited number of Scholarships are available to UK/EU MSc students for study commencing in 2012/13. These scholarships are funded by EPSRC and cover full tuition fees only.

Qualification and course duration


full time
12 months
part time
24 months

Course contact details

Recruitment and Admissions Administrator
+44 (0)161 275 5804