This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics when designing a pumping system. The operating pressure of a pumping system can vary due to various factors, so all the relevant operating conditions need to be assessed to ensure the selected pump is capable of...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within a civil engineering environment. Here students apply standard deflection formulae to solve some typical beam deflection design problems. These formulae form the basis of the calculations that would be undertaken...

In this resource students are asked to play the role of a newly qualified engineering graduate that has taken a year out to work for an overseas aid agency in a developing country.

The civil engineering project you are working on aims to provide water to a number of rural villages where clean water for...

The work suggested in this Nuffield Working with Science unit was planned so that students should:
1. be aware of the advantages of a systematic approach to car selection and purchase
2. be aware of the legal and social responsibilities of car ownership
3...

In this activity students use the spreadsheet to simulate the generation of two normal distributions, each with different means and standard deviations. The spreadsheet models what happens when the two distributions are added together in order to explore whether the result is also normally distributed.

This...

In this activity students are set the challenge of finding missing values such that the mean and variance of a Poisson distribution, a Binomial distribution and a normal distribution makes sense. The solution sheet contains three possible solutions.

This resource is part of the Making Stats Vital collection...

The workbook contains a number of simulations designed to aid students understanding of the Poisson distribution.

[b]Queuing simulation:[/b] is designed to introduce the Poisson distribution through a realistic application, that of simulating a supermarket checkout queue. Students choose the number of people...

In this resource, students consider whether two Poisson distributions can be added together to form a third Poisson distribution. The initial, discussion generating proposition is backed up by a proof. The resource also contains an accompanying spreadsheet on which students can run simulations to test the result....

This resource comprises a spreadsheet which models raindrops falling onto paving slabs. As the variables are adjusted associated graphs display both the experimental and theoretical results. The resource is designed to encourage discussion of how a binomial distribution can be approximated by a Poisson distribution...

In this resource students deal with an optimisation problem involving perimeter and area based on a Greek mythological story about a princess. She wants to maximise the area contained in a given perimeter and decides on a circle. The concept of the Isoperimetric...

This activity, from the Royal Observatory Greenwich, introduces students to ways of combining errors (uncertainties) from two independent measured quantities. Using the equation for Doppler shift, the error in the rotational velocity and time period are calculated....

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics when investigating the volume of registration of engineers. Statistical calculations and graphical representations are used to explore the variations, over time, of membership by area of expertise. Detailed notes and...

This resource, from Mathematics for Engineering Exemplars, shows the application of mathematics within mechanical, electrical and electronics engineering. One of the principal applications of Root Mean Square values is with alternating currents and voltages. This activity demonstrates the calculations required to...

These guides contain instructions on how to build a 3D CAD model of the Webb Space Telescope using Fusion 360. The Webb Space Telescope is a space telescope that will be...

In this investigation, using a tall tube filled with water, you let the water out the bottom of the tube, into a beaker/sink. You will record the level of the water at set intervals (every 5 or 10 seconds for example). You will then repeat this a couple of times and plot your average water level against time. You...