Courses & Units

Probability Models 3 KMA305

Introduction

The unit develops foundation skills for the analysis of real-life systems with elements of uncertainty, useful for careers in Statistics, Physical and Biological Sciences, Operations Research, Engineering, Computer Science, Finance and Economics. The unit covers major topics from Probability Theory, with the focus on developing in-depth knowledge from both theoretical and modelling points of view.

Topics: Axiomatic probability theory: sample space, event, probabilities on events, independent events, Bayes' formula; Random variable, probability distribution, expectation, conditional probability; Distribution functions: discrete, continuous; joint distribution; probability generating function; Laplace transform; moment generating function.  Stochastic Processes: Bernoulli process; Poisson process; discrete-time Markov Chains: Chapman-Kolmogorov equations, classification of states, recurrence, limiting probabilities; continuous-time Markov Chains: Kolmogorov differential equations, embedded chains, equilibrium distributions.

Summary

Unit name Probability Models 3
Unit code KMA305
Credit points 12.5
Faculty/School Faculty of SET, AMC, IMAS
School of Physical Sciences
Discipline Mathematics and Physics
Teaching staff

Dr Malgorzata O'Reilly

Level Advanced
Available as student elective? Yes
Breadth Unit? No

Availability

This unit is currently unavailable.

Note

Units are offered as On-campus where the majority of teaching will occur at the campus identified.  Units offered Off-campus generally have no requirement for attendance at a physical university campus unless the unit has practical or fieldwork components*:  the campus indicated for an Off-Campus unit is the one at which teaching is administered from.

*Please read the Unit Introduction in the Course and Unit Handbook for attendance requirements for units offered in Off-campus mode.

* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (see withdrawal dates explained for more information).

Unit census dates currently displaying for 2017 are indicative and subject to change. Finalised census dates for 2017 will be available from the 1st October 2016.

About Census Dates

Fees

Domestic

Band Field of Education

Fees for next year will be published in October. The fees above only apply for the year shown.

Please note: international students should refer to this page to get an indicative course cost.

Requisites

Prerequisites

  • Any Intermediate unit in Mathematics

Teaching

Teaching Pattern

3 x 1-hr lectures, 1 x 1-hr tutorial , 1 x 1-hr lab weekly

Assessment

3hr exam (70%), assignments (30%)

TimetableView the lecture timetable | View the full unit timetable

Textbooks

Required

Information about any textbook requirements will be available from mid November.

The University reserves the right to amend or remove courses and unit availabilities, as appropriate.