Talking to people who use maths in their work. Aiming to encourage further uptake of maths at A-level and beyond. Brought to you by the Further Maths Support Programme. The FMSP supports students and teachers in England with mathematics, and you can find out more at furthermaths.org.uk. Hosts: Peter Rowlett and Katie Steckles.


Friday 22 May 2015

Episode 20: Calculus and fluid dynamics

This week the topic was calculus and differentiation. We talked to Florencia Tettamanti, who’s a mathematician working on fluid dynamics. We talked about how Flo uses calculus to study the motion of fluids like air and water, and what it’s like to be a research mathematician.

Interesting links:

Puzzle: If your function is given by y = x2 - 6x + 13, what is the minimum value of y, and for which value of x does the function give this value?

Solution:

Friday 8 May 2015

Episode 19: Computer games and mechanics

This week the topic was mechanics and friction. We interviewed Dan Hett, who works for CBBC writing computer games for their website. We talked about his work and how he uses a lot of mathematics in modelling how characters move, and making sure that’s done in a realistic way.

Interesting links:

Puzzle: Susan the Hedgehog runs at 20cm/s across the screen while the run button is held down. Once the run button is released, she slows down with constant deceleration of 8.5cm/s2. Will she stop within 32cm more of screen?

Solution:

Friday 24 April 2015

Episode 18: Medical imaging and Fourier analysis

This week the topic was Fourier analysis. We interviewed Heather Williams, who’s a medical physicist and works with Positron Emission Tomography (PET) scanners, as well as other medical scanning devices. We talked about her work and how maths is important in converting data from the scanner into images that can be used to diagnose patients.

Interesting links:

Puzzle: If a function is made by adding sin(x) + cos(x), what’s the maximum value attained by this function?

Solution:

Friday 27 March 2015

Episode 17: Nuclear reactor modelling

This week the topic was mathematical modelling and linear programming. We interviewed Rick Crawford from AMEC, who’s a mathematician studying decommissioning of nuclear reactors, and using mathematical models to determine whether it’s safe to continue using a particular reactor given that it may have degraded over time, but without actually building a physical model of it.

Interesting links:

Puzzle: A rod sits inside a cylindrical tube of the same height. The tube is 193mm tall, and 50mm in diameter. We assume the rod has zero thickness. What’s the maximum angle away from vertical that the rod can make (to the nearest degree)?

Solution:

Friday 13 March 2015

Episode 16: Actuarial science and normal distributions

This week the topic was statistical distributions and actuarial science. We interviewed Richard Harland, who works in risk management for an insurance firm. We talked to him about his work as an actuary, and how he uses statistical distributions like the normal distribution to predict the probability of risky events.

Interesting links:

Puzzle: Your factory packages crisps into bags using a machine which isn’t completely accurate and the weight of crisps which ends up in each bag varies according to a normal distribution.

The mean weight of a bag is 154g, and the standard deviation is 8g. The bags are labelled as containing 150g of crisps, but 31% of bags produced by the machine are underweight. To what value should you change your mean weight to make sure 95% of bags weigh more than 150g?

Solution:

Friday 27 February 2015

Episode 15: Accountancy and cash management

This week the topic was mathematics and money, and how maths is used in finance. We interviewed Sarah O’Rourke, who’s an accountant working on the problem of moving cash around to where it’s needed in cash machines. We discussed the ways she uses mathematical modelling to predict where demand for cash will be high, and also the other types of work that accountants do, and the different ways to become an accountant.

Interesting links:

Puzzle:

  1. Using only £20 and £50 notes, what’s the largest multiple of £10 you can’t make?
  2. In an imaginary scenario where the only notes are £30 and £70, again what’s the largest multiple of £10 you can’t make?
  3. Why do you think we use the denominations of currency that we do use?
  4. Solution:

Friday 6 February 2015

Episode 14: Maths and Art

This week the topic was maths and art. We interviewed Edmund Harris, who spoke about his work using different media to engage people with mathematics, including his work creating art with a mathematical basis. We discussed his work with tilings and how he uses maths in his work.

Interesting links:

Puzzle: Look for examples of tilings in the world around you - patterns which repeat, or have reflection symmetry, and see how many you can find.