MXB241 Probability and Stochastic Modelling 2
To view more information for this unit, select Unit Outline from the list below. Please note the teaching period for which the Unit Outline is relevant.
| Unit code: | MXB241 |
|---|---|
| Prerequisite(s): | MXB101 and MXB105 |
| Equivalent(s): | MAB314 |
| Credit points: | 12 |
| Timetable | Details in HiQ, if available |
| Availabilities |
|
| CSP student contribution | $555 |
| Domestic tuition unit fee | $3,324 |
| International unit fee | $4,296 |
Unit Outline: Semester 2 2024, Gardens Point, Internal
| Unit code: | MXB241 |
|---|---|
| Credit points: | 12 |
| Pre-requisite: | MXB101 and MXB105 |
| Equivalent: | MAB314 |
| Coordinator: | Chris Drovandi | c.drovandi@qut.edu.au |
Overview
It is important to develop skills and knowledge in both statistics and mathematics. Building on the methodology and skills developed in previous studies in probability and stochastic modelling, this unit provides you with formal statistical tools such as stochastic process models and statistical methods for theoretical and applied development. These methods are useful in a wide range of areas, from communication systems and networks to traffic to law to biology to financial analysis, and link with other modern areas of mathematics. This unit will provide opportunities to learn how to build statistical models of real world processes, acknowledging the assumptions inherent in selected models. The skills developed in this unit will be integral in the understanding of material throughout your studies in statistics and mathematical modelling.
Learning Outcomes
On successful completion of this unit you will be able to:
- Apply advanced concepts, principles and methods of probability and stochastic modelling for analysing processes and data.
- Interpret non-mathematical information to identify variables and use mathematical tools to enable investigation and solution of a given problem.
- Select and justify advanced stochastic models for solving real world problems.
- Communicate statistical conclusions clearly and concisely in written form to a specialist audience.
Content
Developing skills in using mathematical tools to solve statistical problems. Skills and familiarity in describing and setting up problems, and identifying methods and tools to solve them. Skills in communication in problem-solving. Building on earlier studies to develop understanding and ability to work with generating functions, order statistics, sampling distributions, functions of random variables, stochastic models including Markov chains, branching processes, queueing and birth and death processes, and Brownian motion. Developing familiarity and ability to use and interpret parameters and properties of key distributions, and models of stochastic and statistical processes. Developing understanding and skills in using ranks for key statistical procedures in the non-parametric area.
Learning Approaches
This unit is available for you to study in either on-campus or online mode. Learning in this unit includes weekly pre-recorded lectures, interactive lecture, online activities, workshops and a unit communications channel, designed to facilitate communication with your peers and teaching staff outside of scheduled classes.
The pre-recorded lecture content will introduce core concepts and worked examples, and is supported with a live interactive lecture that will allow you to engage with the lecturer. In workshops, you will work with peers and with the teaching team to develop effective methods/approaches for communicating, retrieving, evaluating and presenting information in an ethical way, and you will learn how to work effectively within groups with consideration for cultural differences. The material presented will be context-based utilising examples from a range of real-world applications and purely mathematical scenarios.
You can expect to spend 10 hours per week involved in preparing for and attending all scheduled workshops, completing assessment tasks, and undertaking your own independent study to consolidate your learning.
Feedback on Learning and Assessment
Formative feedback will be provided for the in-semester assessment items by way of written comments on the assessment items, student perusal of the marked assessment piece and informal interview as required.
Summative feedback will be provided throughout the semester with progressive posting of results via Canvas.
Assessment
Overview
The assessment items in this unit are designed to determine your level of competency in meeting the unit outcomes while providing you with a range of tasks with varying levels of skill development and difficulty.
Unit Grading Scheme
7- point scale
Assessment Tasks
Assessment: Problem Solving Task
This assessment item consists of exercises and problems both in and out of class strategically timed to optimise your learning. They cover the core operational knowledge and skills of the unit and provide you with an excellent way of learning through applying techniques to real problems within context. The individual components of the exercises and problems will be marked with feedback and returned to you to assist with understanding and future assessment items.
This assignment is eligible for the 48-hour late submission period and assignment extensions.
Assessment: Examination (invigilated)
This will consist of a written exam based on and representative of the work covered during the semester.
The examination will be at a local testing centre. For students enrolled as internal or on-campus, the local testing centre will be on QUT campus. For students enrolled as online, QUT Examinations will provide testing centre information.
Academic Integrity
Students are expected to engage in learning and assessment at QUT with honesty, transparency and fairness. Maintaining academic integrity means upholding these principles and demonstrating valuable professional capabilities based on ethical foundations.
Failure to maintain academic integrity can take many forms. It includes cheating in examinations, plagiarism, self-plagiarism, collusion, and submitting an assessment item completed by another person (e.g. contract cheating). It can also include providing your assessment to another entity, such as to a person or website.
You are encouraged to make use of QUT’s learning support services, resources and tools to assure the academic integrity of your assessment. This includes the use of text matching software that may be available to assist with self-assessing your academic integrity as part of the assessment submission process.
Further details of QUT’s approach to academic integrity are outlined in the Academic integrity policy and the Student Code of Conduct. Breaching QUT’s Academic integrity policy is regarded as student misconduct and can lead to the imposition of penalties ranging from a grade reduction to exclusion from QUT.
Resources
Sheldon M Ross, Introduction to Probability Modelling, Academic Press
There are other reference texts for this unit, many of which can be located in the library. There are also online resources such as lecture notes and some e-books that can be found online.
Risk Assessment Statement
There are no out of the ordinary risks associated with this unit, as all classes will be held in ordinary lecture theatres. Emergency exits and assembly areas will be pointed out in the first few lectures. You are referred to the University policy on health and safety.
http://www.mopp.qut.edu.au/A/A_09_01.jsp
Standards/Competencies
This unit is designed to support your development of the following standards\competencies.
Engineers Australia Stage 1 Competency Standard for Professional Engineer
1: Knowledge and Skill Base
Relates to: Problem Solving Task, Examination (invigilated)
2: Engineering Application Ability
Relates to: Problem Solving Task, Examination (invigilated)
3: Professional and Personal Attributes
Relates to: Problem Solving Task, Examination (invigilated)
Unit Outline: Semester 2 2024, Online
| Unit code: | MXB241 |
|---|---|
| Credit points: | 12 |
| Pre-requisite: | MXB101 and MXB105 |
| Equivalent: | MAB314 |
Overview
It is important to develop skills and knowledge in both statistics and mathematics. Building on the methodology and skills developed in previous studies in probability and stochastic modelling, this unit provides you with formal statistical tools such as stochastic process models and statistical methods for theoretical and applied development. These methods are useful in a wide range of areas, from communication systems and networks to traffic to law to biology to financial analysis, and link with other modern areas of mathematics. This unit will provide opportunities to learn how to build statistical models of real world processes, acknowledging the assumptions inherent in selected models. The skills developed in this unit will be integral in the understanding of material throughout your studies in statistics and mathematical modelling.
Learning Outcomes
On successful completion of this unit you will be able to:
- Apply advanced concepts, principles and methods of probability and stochastic modelling for analysing processes and data.
- Interpret non-mathematical information to identify variables and use mathematical tools to enable investigation and solution of a given problem.
- Select and justify advanced stochastic models for solving real world problems.
- Communicate statistical conclusions clearly and concisely in written form to a specialist audience.
Content
Developing skills in using mathematical tools to solve statistical problems. Skills and familiarity in describing and setting up problems, and identifying methods and tools to solve them. Skills in communication in problem-solving. Building on earlier studies to develop understanding and ability to work with generating functions, order statistics, sampling distributions, functions of random variables, stochastic models including Markov chains, branching processes, queueing and birth and death processes, and Brownian motion. Developing familiarity and ability to use and interpret parameters and properties of key distributions, and models of stochastic and statistical processes. Developing understanding and skills in using ranks for key statistical procedures in the non-parametric area.
Learning Approaches
This unit is available for you to study in either on-campus or online mode. Learning in this unit includes weekly pre-recorded lectures, interactive lecture, online activities, workshops and a unit communications channel, designed to facilitate communication with your peers and teaching staff outside of scheduled classes.
The pre-recorded lecture content will introduce core concepts and worked examples, and is supported with a live interactive lecture that will allow you to engage with the lecturer. In workshops, you will work with peers and with the teaching team to develop effective methods/approaches for communicating, retrieving, evaluating and presenting information in an ethical way, and you will learn how to work effectively within groups with consideration for cultural differences. The material presented will be context-based utilising examples from a range of real-world applications and purely mathematical scenarios.
You can expect to spend 10 hours per week involved in preparing for and attending all scheduled workshops, completing assessment tasks, and undertaking your own independent study to consolidate your learning.
Feedback on Learning and Assessment
Formative feedback will be provided for the in-semester assessment items by way of written comments on the assessment items, student perusal of the marked assessment piece and informal interview as required.
Summative feedback will be provided throughout the semester with progressive posting of results via Canvas.
Assessment
Overview
The assessment items in this unit are designed to determine your level of competency in meeting the unit outcomes while providing you with a range of tasks with varying levels of skill development and difficulty.
Unit Grading Scheme
7- point scale
Assessment Tasks
Assessment: Problem Solving Task
This assessment item consists of exercises and problems both in and out of class strategically timed to optimise your learning. They cover the core operational knowledge and skills of the unit and provide you with an excellent way of learning through applying techniques to real problems within context. The individual components of the exercises and problems will be marked with feedback and returned to you to assist with understanding and future assessment items.
This assignment is eligible for the 48-hour late submission period and assignment extensions.
Assessment: Examination (invigilated)
This will consist of a written exam based on and representative of the work covered during the semester.
The examination will be at a local testing centre. For students enrolled as internal or on-campus, the local testing centre will be on QUT campus. For students enrolled as online, QUT Examinations will provide testing centre information.
Academic Integrity
Students are expected to engage in learning and assessment at QUT with honesty, transparency and fairness. Maintaining academic integrity means upholding these principles and demonstrating valuable professional capabilities based on ethical foundations.
Failure to maintain academic integrity can take many forms. It includes cheating in examinations, plagiarism, self-plagiarism, collusion, and submitting an assessment item completed by another person (e.g. contract cheating). It can also include providing your assessment to another entity, such as to a person or website.
You are encouraged to make use of QUT’s learning support services, resources and tools to assure the academic integrity of your assessment. This includes the use of text matching software that may be available to assist with self-assessing your academic integrity as part of the assessment submission process.
Further details of QUT’s approach to academic integrity are outlined in the Academic integrity policy and the Student Code of Conduct. Breaching QUT’s Academic integrity policy is regarded as student misconduct and can lead to the imposition of penalties ranging from a grade reduction to exclusion from QUT.
Resources
Sheldon M Ross, Introduction to Probability Modelling, Academic Press
There are other reference texts for this unit, many of which can be located in the library. There are also online resources such as lecture notes and some e-books that can be found online.
Risk Assessment Statement
There are no out of the ordinary risks associated with this unit, as all classes will be held in ordinary lecture theatres. Emergency exits and assembly areas will be pointed out in the first few lectures. You are referred to the University policy on health and safety.
http://www.mopp.qut.edu.au/A/A_09_01.jsp
Standards/Competencies
This unit is designed to support your development of the following standards\competencies.
Engineers Australia Stage 1 Competency Standard for Professional Engineer
1: Knowledge and Skill Base
Relates to: Problem Solving Task, Examination (invigilated)
2: Engineering Application Ability
Relates to: Problem Solving Task, Examination (invigilated)
3: Professional and Personal Attributes
Relates to: Problem Solving Task, Examination (invigilated)