Units
Probability and Stochastic Modelling 2
Unit code: MAN314
Contact hours: 4 per week
Credit points: 12
Information about fees and unit costs
This unit includes: models for stochastic processes and statistical methods, which have applications in engineering, information technology, finance, and physical and life sciences. Markov chains; random walks; branching processes; queueing processes; long-term behaviour of processes; use of generating functions; bivariate and conditional distributions; transformations of random variables; beta and gamma distributions; mixture distributions; order statistics, minimum and maximum.
Availability
| Semester | Available |
|---|---|
| 2013 Semester 1 | Yes |
Sample subject outline - Semester 1 2013
Note: Subject outlines often change before the semester begins. Below is a sample outline.
Rationale
This unit provides the formal statistical tools for all statistical theoretical and applied development for applications in a wide range of varied areas, from communication systems and networks to traffic to law to biology to financial analysis linking with other modern areas of mathematics and as such is an important component in the training of the professional statistician.
Aims
The unit aims to builds on the foundation established in MAN210 to develop the theory, models and properties of key stochastic and distributional processes for applications in a wide range of areas.
Objectives
On completion of this unit, you should be able to
1. Have a sound understanding of the basic concepts and application of stochastic and statistical modelling in analysing processes and data and interpreting real problems.
2. Appreciate the value of the principles and methods of stochastic and statistical modelling and the necessary mathematical tools.
3. Have developed skills in recognition of situations, identification of variables, choosing appropriate models and using mathematical tools.
4. Have developed generic skills in problem tackling, collaborative and individual work, written and oral communication, and appropriate technical methods.
5. Have demonstrated the relevance of the work of this unit to problem-solving and interpretation in all the courses in which you are likely to be involved, or in all the areas with which you may have contact: mathematics, all the sciences, engineering, information technology, business, law, education, health, social sciences.
Content
Approaches to Teaching and Learning
The work will be context-based using a wide variety of examples from many different areas of application.
The emphasis will be on: learning through experience, on learning in groups and as individuals, on written and oral communication, and on developing skills and attitudes to promote life-long learning. A combination of discussion, working through small and larger problems, and expressing solutions individually and in groups, will help development in problem-solving, critical assessment skills, and intellectual debate.
This unit is being taught concurrently with an undergraduate offering of the same subject. University policy permits that postgraduate and undergraduate students attend the same lectures. Separate tutorial/discussion groups will be provided for postgraduate student where numbers allow. As a postgraduate student you will be required to complete separate or additional assessment.
Assessment name:
Problem Solving
Description:
(Formative and summative) - This will consist of five exercises based on class work, spaced regularly through the semester. The format of requirements for these exercises will be given out in writing at least 10 days before the due date. Each exercise will include a component of collaborative problem-solving in tutorial classes. The individual components of the exercises will be marked with feedback to help with understanding and given to you within two weeks of submission of each exercise.
Relates to objectives:
All.
Weight:
40%
Internal or external:
Internal
Group or individual:
Individual
Due date:
Approx Fortnightly
Assessment name:
Examination
Description:
(Summative) - This will consist of a written exam based on and representative of the work during the semester, and suitable for all of you in the unit with regard to length and range of questions. Any calculator may be used, and you will be able to take your own personal summaries and written comments into the exam.
Relates to objectives:
All.
Weight:
60%
Internal or external:
Internal
Group or individual:
Individual
Due date:
Central Exam Period
Academic Honesty
QUT is committed to maintaining high academic standards to protect the value of its qualifications. To assist you in assuring the academic integrity of your assessment you are encouraged to make use of the support materials and services available to help you consider and check your assessment items. Important information about the university's approach to academic integrity of assessment is on your unit Blackboard site.
A breach of academic integrity is regarded as Student Misconduct and can lead to the imposition of penalties.
Resource materials
References:
1. Ross SM, Introduction to Probability Modelling, Academic Press
Risk assessment statement
There are no out of the ordinary risks associated with this unit. Emergency exits and assembly areas will be pointed out in the first few lectures. You are referred to the university's health and safety web site http://www.hrd.qut.edu.au/healthsafety/healthsafe/index.jsp for further information.
Disclaimer - Offer of some units is subject to viability, and information in these Unit Outlines is subject to change prior to commencement of semester.
Last modified: 03-Sep-2012
