Every day, we make decisions based on our assessment of the risks involved in situations we encounter and the probability which we think applies to those risks. But how realistic are these judgements?

In this conference, students will use mathematics to help them think more clearly about the risks that we face, and which we hear about in the media. They will deconstruct newspaper reports covering stories such as the risks of vaccination, new wonder drugs, lucky lottery winners, the rate of teenage pregnancies, and so on.

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Some different approaches to handling time in physics will be introduced in a variety of contexts including Newtonian physics, thermodynamics, special & general relativity, and quantum theory. Participants will be invited to investigate in a little more depth one of these approaches. The conference will end with a look at time travel, and an opportunity to discuss some of the logical and philosophical difficulties that such an idea introduces.

Plan for the day

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Addition Material

Students will be introduced to special relativity, and will look at the differences between Galileo's concept of motion and that used in special relativity. In the afternoon session, students will carry out practical investigations of the geometrical properties of curved surfaces. This conference has been offered in previous years, but will be further developed this year in the light of previous experience.

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David Berman, University of London
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This is a one-day 6th form masterclass, to be held on 5 February 2008, 10am -3pm.
It is aimed at students who are familiar with matrix and vector multiplication (scalar product only, vector product won't be required).

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Back to : Complex Numbers and Matrices Main Page

Rotations in 3-dimensions

If we want to extend the idea of using complex numbers for rotations to 3-dimensions, how do we need to extend the number system? The obvious answer might be to try something like:

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