Hobart
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 2020
| Unit name | Probability Models 3 |
|---|---|
| Unit code | KMA305 |
| Credit points | 12.5 |
| Faculty/School | College of Sciences and Engineering School of Natural Sciences |
| Discipline | Mathematics |
| Coordinator | |
| Teaching staff | |
| Level | Advanced |
| Available as student elective? | Yes |
| Breadth Unit? | No |
Availability
Note
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Units are offered in attending mode unless otherwise indicated (that is attendance is required at the campus identified). A unit identified as offered by distance, that is there is no requirement for attendance, is identified with a nominal enrolment campus. A unit offered to both attending students and by distance from the same campus is identified as having both modes of study.
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TNE Program units special approval requirements.
* 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).
Fees
Requisites
Prerequisites
- Any Intermediate unit in Mathematics
Co-requisites
Mutual Exclusions
You cannot enrol in this unit as well as the following:
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%) |
| Timetable | View the lecture timetable | View the full unit timetable |
Textbooks
| Required | Information about any textbook requirements will be available from mid November. |
|---|---|
| Recommended |
The University reserves the right to amend or remove courses and unit availabilities, as appropriate.