The Maths Academy is running two projects in the 20132014 academic year; an Interactive Lecture Series
and a University Mathematics Project.
You can find details of lecture dates, times, and locations in the descriptions below, and registration and contact details
at the bottom of the page.
This is an interactive lecture series aimed at eager and interested year 12 and year 13 students. The lectures will be highly interactive and so the session content may differ from the titles and descriptions below. There is a restricted number of places and priority will be given to year 12 students. All lectures and tutorial will take place in Hicks Building (see the map below).
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The Semester 1 sessions were held in Lecture Theatre 5 (Floor E) of the Hicks Building at the University of Sheffield. Session titles, times, dates, and further reading are given below.
You probably met π in primary school, but what is it? In this talk we will think about π and realise that real numbers depend on a limiting process. This limiting process was not "properly" understood by Newton! In this talk we may recover a powerful and beautiful 19^{th} century construction that will give you a glimpse of a university topic called mathematical analysis. Remarks and links following the session:

I learnt how to draw a circle in primary school. What I did not learn was how to use a compass and a straightedge (a ruler with no markings) to do nice geometric constructions. More remarkably, I did not learn a stunning result about straightedge and compass constructions until my final year of undergraduate mathematics! In this talk we may talk about a duel to the death and touch on some deep university algebra! Remarks and links following the session:

Planets move on ellipses around the Sun. Today, this may not sound like a scandalous claim  but back in 1633 it was enough to get Galileo in trouble! We will learn about the ellipse, and how elliptical orbits are a simple consequence of Newton's laws of motion and of universal gravitation. Remarks and links following the session:

A collection of tiles of various shapes is called aperiodic if it tiles the whole plane (without gaps or overlaps) with no repeating pattern. It is surprising that this is possible, but in this talk you will see several examples, including the famous Penrose kite and dart tiles. You'll learn how to make kite and dart tilings and how we can figure out the ratio of kites to darts. Remarks and links following the session:

A set either has finitely many objects or doesn't, and that's all there is to say, right? Wrong, incredibly, there is a lot to say! Cantor shook the world of mathematics in the late nineteenth century with a wonderful result that will change the way you think about infinity! Come to this talk and learn what all the fuss was about. Remarks and links following the session:

Links to further reading will be posted after the sessions above so that you can independently research beyond what you saw during the lecture.
All Semester 2 sessions will be held in Lecture Theatre 10 (Floor H) of the Hicks Building at the University of Sheffield. Session titles, times and dates are given below.
We tie and untie our shoelaces everyday (or maybe you use velcro in which case you'll have to pretend). So, is it possible to tie a knot that can't be undone? And, if there is such a knot, can we somehow convince ourselves beyond reasonable doubt (prove) that our knot can never be undone? This talk will be about topology (a world of geometry in which distance is irrelevant), and with any luck we might get to a piece of 20th century Fields medal winning mathematics.

This is was an introduction to game theory based on the first lecture of a game theory course taught at Yale University. You can see the course webpage here.

Lots of things evolve in time in a way which looks random. Examples can include asset prices in finance, biological populations and membership of social networks. I'll introduce Markov chains, which are a type of probabilistic model with a lot of theory which can be applied in many of these situations, and illustrate it by showing you how to win at Monopoly (well, possibly!) and some of the ideas behind Google's search algorithms.

Are you cleverer than your mobile phone? Let's find out! Some mathematical problems can be quickly solved on a computer; others require more subtle and creative reasoning. In this session we will learn some simple programming skills, and test our newfound knowledge against penandpaper techniques.

If you've attended the interactive lecture series you will get to vote on what the final topic will be. This talk will be an absolute wild card!

Links to further reading will be posted after the sessions above so that you can independently research beyond what you saw during the lecture.
This project invites year 13 students to attend the first year undergraduate module MAS114 Numbers and Groups. The module will be novel and differ from anything you will have seen at school. However, the material will be accessible to anyone who enjoys mathematics. You are invited to attend the first semester of Numbers and groups. There is a restricted number of places and priority will be given to students who attended the interactive lecture series last year.
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