Mathematics for Industry module (MA31009)

In industry, the hardest problems rarely arrive as neat equations. In this module, you will learn how to turn complex, open-ended problems into mathematical models that can be analysed, tested, and communicated effectively.

You will explore how mathematics helps organisations make sense of practical challenges, from improving processes and analysing risk to planning resources and understanding complex systems. Rather than simply applying familiar techniques, you will learn how to choose an approach that fits the situation being analysed.

You will translate real-world situations into mathematical language by making sensible assumptions, simplifying carefully, and recognising what your model can and cannot tell you. Dimensional and non-dimensional quantities will help you check whether a model is consistent, compare competing effects, and identify the quantities that drive the behaviour of the system.

You will also learn how to present mathematical work to an industrial audience. Through a group project based on an industrial problem, you will analyse results and test predictions before writing a professional report that explains your approach, conclusions, limitations, and recommendations.

By connecting mathematics with professional practice, this module develops your ability to analyse complex problems, make well-justified modelling choices, and communicate results in a way that can support real decisions in industry.

What you will learn

In this module, you will:

• translate real-world industrial problems into mathematical language
• choose suitable mathematical, computational, or statistical methods
• make sensible assumptions and understand their effect on a model
• use dimensional and non-dimensional quantities to analyse problems
• test predictions and judge the limitations of your results
• work in a group on an industrial problem
• write a professional report for an industrial audience.

By the end of this module, you will be able to:

• turn open-ended problems into mathematical models
• select methods that fit the situation being analysed
• explain the assumptions, strengths, and limits of a model
• interpret results in the context of the original problem
• communicate technical conclusions clearly to non-specialists
• present analysis, recommendations, and limitations in a professional report

Assignments / assessments

• Coursework (100%)
  
  • Project report
  • Class test

This module does not have a final exam.

Teaching methods / timetable

• seminars, introducing key approaches for translating real-world problems into mathematical models
• tutorials, where you will practise choosing methods, testing assumptions, and interpreting results
• homework and exercises, helping you consolidate the modelling and analysis techniques used in the module
• a group project, applying your skills to an industrial problem and developing a professional report.