A class test length 2 hours covering all content, weighted at 80% (Learning outcomes 1, 2, 3).
An assignment covering the finite element method, weighted at 20% (Learning outcome 3).

Introduction to the software R
Further probability theory
Markov Chains
Gamma family of distributions
Reliability theory
Theory and application of the finite element method in one dimension


This module covers a variety of topics in mathematics and statistics not met elsewhere on the Mathematics Award. Each topic covered has an important role in the practical application of mathematics and statistics in the real world.
Markov chains are mathematical systems that hop from one state to another. They are used in many areas such as computing, meteorology, ecology, engineering and finance.
Reliability theory develops and studies methods of ensuring the operational efficiencies of products, equipment and systems.
The finite element method is a numerical method for solving problems such as structural analysis, heat transfer and fluid flow.

1. Understand the structure of Markov processes and solve practical problems having this structure. Knowledge and Understanding,
Analysis
Problem Solving
Application

2. Understand the principles of reliability theory and apply them in a practical context.
Knowledge and Understanding
Problem Solving
Analysis
Application

3. Understand the background to the finite element method and its application to simple one-dimensional problems.
Knowledge and Understanding
Analysis
Problem Solving
Application

The module will be delivered via 12 hours (1 per week) of lectures and 24 hours (2 per week) of tutorials/practicals.
Outside of class contact hours you will be expected to complete set exercises, to read background literature and to revise the material issued during the lectures and tutorials.

R, SPSS, Excel, Maple, Blackboard

For background reading only:
Introduction to probability models, Sheldon M. Ross, 2010, Elsevier, ISBN: 978-0-12-375686-2
Practical Reliability Engineering, Patrick D. T. O’Connor, 2012, Wiley, ISBN 978-0-470-97981-5
Statistics for Engineering and the Sciences, William M. Mendenhall, Terry L. Sincich, 2016, CRC Press, ISBN 978-1-4987-2888-1 (ebook)
An Introduction to the Finite Element Method, Third Edition, JN Reddy 2006, McGraw Hill, ISBN: 620.001515353.

Prior study of MATH40398: Introductory statistics and probability (or equivalent)
Prior study of MATH50400: Survey Design and Statistical Inference (or equivalent)
Prior study of MATH40294: Applied Mathematical Methods (or equivalent)