Science, Engineering and Technology

KMA305

2012  KMA305  Probability Models 3

Unit Level: Advanced

Available as a Student Elective: Yes

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OFFERINGS

Unit Sem 1 Sem 2 Full Yr Spring Summer Winter KMA305 H Key Semester Dates Semester Campus Attendance Note Start Date Census Date Final WW Date* End Date Sem 1 H On Campus 27-FEB-2012 23-MAR-2012 16-APR-2012 01-JUN-2012 *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). This unit can be taken in other courses About Census Dates

DESCRIPTION

The unit develops skills in modeling, analysis and performance assessment of real-life systems with element of uncertainty, and is particularly useful for students interested in careers in the Physical and Biological Sciences, Operations Research, Engineering, Computer Science, Finance and Economics.

The unit covers major topics from probability theory and stochastic processes, with the focus on developing in-depth knowledge from both theoretical and modeling points of view. Probability theory: sample space, event, probabilities on events, independent events, Bayes' formula; random variable, probability distribution, expectation, conditional probability and conditional expectation; distribution functions: discrete, continuous; joint distribution; probability generating function; Laplace transform. Stochastic Processes: Bernoulli process; Poisson process; discrete-time Markov Chains: Chapman-Kolmogorov equations, classification of states, recurrence, limiting probabilities; continuous-time Markov Chains: Birth and Death Processes, Kolmogorov differential equations, embedded chains, equilibrium distributions, exponential queueing models. Students will learn to use MATLAB for the derivation of numerical solutions.

WEIGHT:  12.5%

ASSESSMENT: 3hr exam (80%), assignments (20%)

TEACHING PATTERN: 3x1hr lectures, 1hr tutorial , 1hr lab weekly

FLEXIBLE & ONLINE STUDY OPTIONS
Note: Class attendance may still be required

   Web supported - H
Online access to some part of this unit online is optional
   Resource supported teaching & learning - H
Additional resources are provided for your optional use; e.g. audio taped lectures
   Flexible scheduling - H
Some classes will be held outside normal teaching hours; e.g. weekend blocks, summer schools etc
About Flexible Study Options

REQUISITE INFO

Prereq

( KMA152 or KMA182) or equivalent with approval from HoS

TEXTS
Hobart Co-op Bookshop Website - Semester (Sem 1)

STAFF: Dr M O'Reilly

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.

Campus - H Hobart, L Launceston, W Burnie. Study Centre - V Sydney, R Rozelle, P Beauty Point. Distance units may also have a campus identifier of I Isolated, N Interstate, O Overseas. Units delivered in Transnational Education (TNE) Programs have a campus identifier of A Hangzhou, F Fuzhou, G Shanghai, K KDU Malaysia, Q Kuwait or Y Hong Kong.

Special approval is required for enrolment into TNE Program units - campuses A, F, G, K, Q and Y click here for more information.