Enjoy the eigth group of essays from the 2024 TRM Essay Competition, now proudly held in partnership with the Oxford University Department for Continuing Education. The showcase will take place throughout June and July with the winners being announced in August.

If you enjoy reading any of the essays, be sure to leave a comment to let the author know!

This essay constructs a mathematical model based on decision making to try to compute the number of alternate timelines in the Avengers movies.

This essay explores the question of the usefulness of mathematics and whether it is needed to understand our universe.

This essay looks back through history at the discovery of prime numbers and how they have come to be used in the modern world.

This essay breaks down the key components of a machine learning model, from statistics and probability, to multivariable calculus.

This essay uncovers the mechanisms employed by image recognition software used in autonomous vehicles.

This essay outlines the foundations of group theory, and how it can be applied to a range of topics including Rubik’s cubes and crystallography.

This essay looks at the real meaning of binomial coefficients as a means to improve understanding of the formulae.

This essay explains how error-correcting codes can be used to improve the accuracy of data sent over the internet.

This essay explores the power series formulation of the number ‘e’ and uses it to consider fractional, irrational and complex powers.

This essay investigates the properties of infinity and determines whether or not it can be treated as a number.

This essay explains the Duckworth-Lewis-Stern method used in cricket to determine the required score for a victory when the number of overs in a match is reduced.

This essay gives a brief overview of chaos theory and the many areas to which it can be applied.

This essay defines the derivative using some simple examples and diagrams.

This essay tells the history of chaos theory and its discovery by Edward Lorenz when modelling the weather system.

This essay applies the techniques of data analysis to identify patterns in the storyline of successful movies.