# Unit information: Probability 2 in 2020/21

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Unit name Probability 2 MATH20008 20 I/5 Teaching Block 2 (weeks 13 - 24) Professor. Holroyd Not open MATH11005 Linear Algebra and Geometry, MATH10011 Analysis and MATH10013 Probability and Statistics None School of Mathematics Faculty of Science

## Description

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 details

The unit will be taught through a combination of

• synchronous online and, if subsequently possible, face-to-face lectures
• asynchronous online materials, including narrated presentations and worked examples
• guided asynchronous independent activities such as problem sheets and/or other exercises
• synchronous weekly group problem/example classes, workshops and/or tutorials
• synchronous weekly group tutorials
• synchronous weekly office hours

## Assessment Details

90% Timed, open-book examination 10% Coursework

Raw scores on the examinations will be determined according to the marking scheme written on the examination paper. The marking scheme, indicating the maximum score per question, is a guide to the relative weighting of the questions. Raw scores are moderated as described in the Undergraduate Handbook.

If you fail this unit and are required to resit, reassessment is by a written examination in the August/September Resit and Supplementary exam period.