Unit information: Probability 2 in 2019/20

Unit name	Probability 2
Unit code	MATH20008
Credit points	20
Level of study	I/5
Teaching block(s)	Teaching Block 2 (weeks 13 - 24)
Unit director	Professor. Holroyd
Open unit status	Not open
Pre-requisites	MATH11005 Linear Algebra and Geometry, MATH10011 Analysis, MATH10013 Probability and Statistics and MATH10012 ODEs, Curves and Dynamics
Co-requisites	None
School/department	School of Mathematics
Faculty	Faculty of Science

Description including Unit Aims

Unit Aims

To survey basic models of applied probability and standard methods of analysis of such models.

Unit Description

A wide range of phenomena from areas as diverse as physics, economics and biology can be described by simple probabilistic models. Often, phenomena from different areas share a common mathematical structure. In this course a variety of mathematical structures of wide applicability will be described and analysed. The emphasis will be on developing the tools which are useful to anyone modelling applications, rather than the applications themselves.

Students should have a good knowledge of first year probability and of basic material from first year analysis. As the course builds on Probability 1 it will also deepen students' understanding of the basis of probability theory.

Relation to Other Units

This unit develops the probability theory encountered in the first year. It is a prerequisite for the Level H/6 units Introduction to Queuing Networks, Further Topics in Probability 3, Bayesian Modeling and Financial Mathematics, and is relevant to other Level H/6 probabilistic units.

Intended Learning Outcomes

At the end of the course the student should should:

• have gained a deeper understanding of and a more sophisticated approach to probability theory than that acquired in the first year

• have learnt standard tools for analysing the properties of a range of model structures within applied probability

Transferable Skills:

• construction of probabilistic models

• the translation of practical problems into mathematics

• the ability to integrate a range of mathematical techniques in approaching a problem.

Teaching Information

Lectures and problems classes. Weekly exercises to be done by the student and handed in for marking.

Assessment Information

Reading and References

Recommended

• Geoffrey Grimmett and David Stirzaker, Probability and Random Processes, OUP, 2001
• Howard M. Taylor, and Samuel Karlin, An Introduction to Stochastic Modelling (3rd Ed.), Academic Press, 1998