Undergraduate - UnitMTH2222 - Mathematics of uncertainty

This unit entry is for students who completed this unit in 2013 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.

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6 points, SCA Band 2, 0.125 EFTSL

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Level	Undergraduate
Faculty	Faculty of Science
Organisational Unit	School of Mathematical Sciences
Offered	Clayton Second semester 2013 (Day)
Coordinator(s)	Dr Kais Hamza

Synopsis

Probability models. Random variables and their distributions. Multivariate distributions. Conditional distributions and conditional expectations. Generating functions. The Law of Large Numbers and the Central Limit Theorem. Introduction to stochastic processes (random walk, finite state Markov chain, branching processes). Application to statistical models. Sampling distribution. Mathematical principles of inference.

Outcomes

On completion of this unit students will be able to:

Understand basic concepts in statistical modelling and applied probability;

Apply statistical techniques to practical problems in areas of science and industry;

Understand the mathematical principles underlying statistical inference using the normal, binomial, t, F and chi-square distributions.

Assessment

Examination(3 hours): 70%
Continuous assessment: 30%

Chief examiner(s)

Dr Kais Hamza

Contact hours

Three 1-hour lectures and one 2-hour support class per week

Prerequisites

MTH1030 or MTH1035, or equivalent

Co-requisites

One of MTH2010, MTH2015 or MTH2021

Prohibitions

ETC2520