# Mathematics for Engineering Exemplars

These Mathematics for Engineering exemplars are intended to motivate mathematics teaching and learning, provide support for teachers using contextualised mathematics for the first time, and help students gain fluency in the use of mathematics for practical problem solving. This collection from The Royal Academy of Engineering also illustrates the applicability of the mathematics in the Additional and Specialist Learning (ASL) unit of the Advanced Diploma in Engineering, and exemplifies valuable activities undertaken by engineers. The mathematics units contribute to preparation for the ASL qualification for the Advanced Diploma.

## Resources

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### The mathematics of aircraft navigation

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the aeronautical industry. Students are given a scenario which involves the recovery of stranded mountaineers by a rescue helicopter and the considerations required for a successful outcome. Trigonometry, formula...

### Steam Pipe Insulation

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the field of mechanical engineering. Here students learn that lack of proper insulation results in large energy losses which, over time, cost a lot of money. Models are used to calculate the value of the critical...

### Underground Storage Tank

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics when building an underground storage tank, with an elliptical cross section. Health and safety requirements apply and the depth to which the tank must be buried is established using the 2D geometry of an ellipse,...

### The Mathematics of Escalators on the London Underground

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics for the operation of escalators on the London underground. Students consider a variety of issues which include passenger numbers and flow, as well as carbon emissions, escalator speed and energy efficiency. Detailed...