Industrial Mathematical Modelling MSc

Entry requirements:
2:1 +
1 year
Not available
Start date:
October 2018
UK/EU fees:
International fees:
Study area:
Mathematical Sciences



of our research is 'internationally recognised'

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Our Industrial Mathematical Modelling MSc is designed to help you develop the mathematical modelling skills and techniques increasingly highly sought after within industry and commerce.

The Industrial Mathematical Modelling MSc enables you to explore mathematical models of real world processes and their formulation, with a strong emphasis on how these techniques can be applied in industry.

A key feature of the Industrial Mathematical Modelling programme is working in small groups to solve real life problems using mathematical models, such as estimating the loss of heat from a warehouse. Another unique aspect is our Advanced Reliability module, designed to show how statistics can be applied to industrial problems to support the development of stategies for the replacement of engineering parts before they break.

Elsewhere on the Industrial Mathematical Modelling programme, you will also develop skills to solve partial differential equations and learn the basic principles behind, for example, the finite element method, which is heavily used in industry for solving structural problems.

A highlight of this industry-focused programme is your 12-week summer project which is often carried out in a local company. Past projects have included modelling asthma inhalers (3M), predicting gas and electricity demand (DNV-GL), modelling hybrid (electric-petrol) cars and the delays in switching between the two propulsion systems (Jaguar-Land Rover). The project element is supported by Loughborough University's well-established links to industry and will give you a practical, real world insight into how mathematical theory and technique is applied in organisational scenarios.

The Department of Mathematical Sciences is now housed in a newly refurbished building with dedicated modern facilities. Research within the department includes work for which the programme would provide a fundamental basis, such as work in solar, water wave and nuclear energy, thin film fluid dynamics and filtration through porous media.

What makes this programme different?

  • 12 week summer project - often carried out in a local company
  • Provides mathematical techniques required by industry
  • Learn the skills to solve partial differential equations

Who should study this programme?

The Industrial Mathematical Modelling MSc is especially suitable for students who have undertaken a 3 year BSc degree in mathematics, science or engineering and who are looking either to continue for PhD study or to use their enhanced skills in an industrial context.

An honours degree (2:1 or above) or equivalent overseas qualification in mathematics or an engineering or science subject with a high mathematical content.

All applicants for admission to Loughborough University must have a qualification in English Language before they can be admitted to any course or programme, whether their first language is English or not. Find out more about our English Language requirements on our webpage.

IELTS: overall 6.5 with minimum 6.0 in each component.

What you'll study

Our Industrial Mathematical Modelling MSc provides a solid foundation in the core areas of mathematics relevant to industry and stimulates students to meet their own aspirations, interests and educational needs.


Industrial Mathematical Modelling MSc covers a wide range of topics; to give you a taster we have expanded on some of the core modules affiliated with this programme and the specific assessment methods associated with each module. You will study the following modules. All are compulsory and worth 15 credits except the summer project which is worth 30.

The module involves work on group tasks in the areas of Mechanics, Heat Transfer and Fluid Mechanics, etc. The direction of the modelling tasks is supervised through weekly meetings between each group and the module coordinators.

The aim of this module is to study dynamical systems from a modern viewpoint emphasising the rich behaviour of nonlinear systems.

The different types of Hopf bifurcations will be explained and simple integrable and chaotic systems will be analysed.

This module will introduce the basic concepts of programming and explain numerical methods for solving ordinary and partial differential equations.

Coursework will involve programming numerical methods to solve these equations.

This module will introduce the basic engineering concepts of risk and reliability using applied statistical methods. Reliability and availability concepts will be introduced and examples given of modelling systems with dependencies, phased mission, and maintainability issues.

The aim of this module is to gain familiarity with modern qualitative theory of linear PDE's with particular emphasis on second-order equations. Selected aspects of modern methods for simple nonlinear PDEs will be introduced.

Non-linear optimisation techniques will be described. The principle of optimality and dynamic programming will be introduced and applied to optimal control problems. Coursework will consist of coding a modern optimization technique in Matlab or Maple.

The fundamental equations of fluid mechanics are derived (Navier-Stokes equations) and simplified forms of these equations applicable to a variety of fluid flows are solved analytically.

This is often carried out in a local company. Past projects include modelling asthma inhalers (3M), predicting gas and electricity demand (DNV-GL). Modelling hybrid (electric-petrol) cars and the delays in switching between the 2 propulsion systems (Jaguar-Land Rover).

How you will be assessed

You will be assessed by a combination of examinations, reports, individual and group projects, and verbal presentations. You will spend approximately 14 weeks at the end of the programme devoted to an individual project either in an industrial or engineering company, or at the University.

How you'll study

Independent study
Group work
Practical sessions

Your personal and professional development

The Department of Mathematical Sciences is committed to helping you develop the skills and attributes you need to progress successfully in your chosen career.

Future career prospects

Graduate employment spans a wide range of industries encompassing aerospace, automotive electronics, and computer interests as well as software houses, insurance companies, and research establishments and institutions.

Graduate destinations

Recent graduate destinations include:

  • Software Engineer in New Zealand
  • PhD study in plasma liquid interactions
  • Lecturer in higher education
  • Modeller in the Energy technology Institute

Your personal development

As a graduate of this programme, you should gain the ability to:

  • Possess general study skills, including the ability to learn independently using a variety of media
  • Have good time management and organisational skills
  • Be logical and analytical, and possess skills in IT, communication, presentation and problem solving

Fees and funding


Tuition fees cover the cost of your teaching, assessment and operating University facilities such as the library, IT equipment and other support services. University fees and charges can be paid in advance and there are several methods of payment, including online payments and payment by instalment. Special arrangements are made for payments by part-time students.

Our students

Mariapia Lampis

Industrial Mathematical Modelling MSc graduate

I found the modules and the programme organisation excellent. My year was challenging and intense but I enjoyed studying and learning new subject.