Information on this page, including unit offerings, is from the 2019 academic year.
Modelling and Simulation (MAS354)
|Organisational Unit||Information Technology, Mathematics and Statistics|
|Availability||MURDOCH: S2-internal, S2-external|
|Teaching Timetables||Murdoch S2
|Description||This unit develops skills in mathematical modelling, analysis and simulation of various dynamic systems (taken from mechanical, thermal, process, biological, biomedical, economic, financial, stochastic and discrete event systems) and introduces control systems, parameter estimation and Monte-Carlo simulation. Possible applications include vehicle vibrations, central heating, fisheries, epidemics, drug infusion, traffic flow and stock price models. Central to the unit is the practical use of the computer packages MATLAB and Simulink for the numerical solution and simulation of the systems.|
|Unit Learning Outcomes||On successful completion of the unit students should be able to:
1. Use the software MATLAB and Simulink for numerical solution and simulation of dynamic systems.
2. Derive mathematical relationships using dimensional analysis.
3. Formulate models of different types including mechanical, process, thermal, biological and compartmental.
4. Use basic solution methods including transfer functions and find responses of linear systems to step, impulse and sinusoidal inputs
5. Determine the type of behaviour and stability for solutions of dynamical systems.
6. Use parameter estimation in compartmental models, and apply and analyse basic control systems.
7. Formulate basic stochastic models and simulations in queuing problems and finance.
8. Contribute effectively to a group project.
|Timetabled Learning Activities||Lectures: 3 x 1 hour per week; tutorials: 1 x 1 hour per week.|
|Unit Learning Experiences||This unit uses a mixture of structured activities and assessments to assist students in learning the material covered in the unit. Structured activities include lectures and tutorials, and assessments include assignments, a project, and a final exam. It is essential that internal students attend lectures and tutorials.
In the lectures, students learn methods and approaches for the formulation, solution and analysis of mathematical models of various real-world dynamic systems in the physical and biological sciences, engineering, management and finance. This includes an introduction to parameter estimation and control systems.
In the tutorials, students learn how to use the powerful computing packages MATLAB and Simulink for the numerical solution and simulation of the various systems. The tutorials will also illustrate and reinforce the ideas covered in lectures.
In a group project component, students choose a topic of interest to them and apply the mathematical and computing methods of the unit to study this topic more deeply. The project includes a literature review and other important research skills.
|Assessment||All students' abilities to correctly apply mathematical modelling methods will be assessed at regular intervals during the semester via assignments and a project. These assessments are designed to allow students to demonstrate their ability in each of the content areas of the unit and to give them regular feedback on their progress, helping them to identify their areas of strength or weakness during the semester. Assignment solutions and results will be posted progressively on the Learning Management System.
The weightings for assessment items are as follows:
Assignments (4) - 25%
Project - 15%
Final Examination - 60%
|Prerequisites||MAS161 Calculus and Matrix Algebra OR MAS221/MAS208 Mathematical Modelling OR both MAS182 Applied Mathematics AND MAS167 Computational Mathematics/MAS162 Foundations of Discrete Mathematics|
|Exclusions||Students may not enrol in this unit and either of MAS164 Fundamentals of Mathematics or MAS182 Applied Mathematics concurrently. Students who previously successfully completed MAS375 Modelling and Simulation cannot enrol in this unit for credit.|
|Appears in these Courses/Majors:
see individual structures for context
|Appears in these Minors||Applied and Computational Mathematics
Industrial and Applied Mathematics
|Internet Access Requirements||Murdoch units normally include an online component comprising materials, discussions, lecture recordings and assessment activities. All students, regardless of their location or mode of study, need to have access to and be able to use computing devices with browsing capability and a connection to the Internet via Broadband (Cable, ADSL or Mobile) or Wireless. The Internet connection should be readily available and allow large amounts of data to be streamed or downloaded (approximately 100MB per lecture recording). Students also need to be able to enter into online discussions and submit assignments online.|