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.

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Study of the Motion of Knee and Ankle during Cycling

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the field of sports technology to compare the potential for injury to the knee or ankle when cycling and when jogging. Students model a situation involving oscillations, looking at inertial forces, Newton’s Laws...

Suspension System in JCB Construction Machinery

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics when designing highway machinery. Because a driver has to remain in the same machine for almost eight hours each day, the vibration amplitudes of the operator’s seat, which should be kept as low as possible, are a key...

Study of Dynamic Systems in JCB Construction Machinery

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within the mechanical and civil engineering industry. Here students learn how calculations for displacement, velocity and acceleration, caused during loading, are used to ensure that they are not so large as to adversely...

Mathematics behind the Water Network in Rural Mountain Areas

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within public health engineering to supply clean water in a rural mountain area. Here students learn about the formulae used to calculate the optimum size of pipes which will ensure good pressure of water throughout the...

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