This UNIQ course is a chance to experience undergraduate level mathematics. You will spend most of your time in the Maths Institute, where you will have lectures on areas completely different to school work including matrices, number theory and mathematical philosophy.
On the pure side you’ll learn to work with matrices and Markov chains, which are widely applicable mathematical objects used in areas as diverse as finance, thermodynamics and speech recognition technology. You’ll also learn about proof through geometry. On the applied side you’ll learn about Fermi problems and undertake a mathematical modelling project in small groups with a tutorial to discuss your work. You are encouraged to work together on the questions set by lecturers, which are very varied and will require much more creativity than A level maths; similar to undergraduate style problems.
There is also time set aside to research an area of maths that you find particularly interesting: it can be something you have encountered on UNIQ or learnt about elsewhere. Working in groups, you will give a presentation to all the other maths students at the end of the week.
One of the high points of the week is the problem solving competition on Thursday, where you work against the clock with other students from your college on a wide range of questions. This is a great chance to apply all your new skills and will help you become more accustomed to talking through problems with others.