Unit (2019)
Information on this page, including unit offerings, is from the 2019 academic year.
Mathematical Modelling (MAS221)
Organisational Unit  Information Technology, Mathematics and Statistics 
Credit Points  3 
Availability  MURDOCH: S2internal, S2external 
Teaching Timetables  Murdoch S2 
Description  This unit considers mathematical models, their uses and limitations. Case studies involving relatively simple mathematical ideas will demonstrate that models range from simple tools for answering 'what if' questions to quite accurate descriptions that allow useful predictions to be made. Topics include the: modelling of chemical, biological and physical systems (using first order ordinary differential equations); modelling of steady state systems (using matrix algebra); dynamical models (using ordinary differential equations); and modelling of diffusive processes (using partial differential equations). 
Unit Learning Outcomes  On successful completion of the unit you should be able to: 1. Construct and understand basic mathematical models of simple biological, environmental and other systems. 2. Carry out mathematical analyses using a variety of mathematical methods, including some numerical methods. In particular, students should be able to: a. Solve certain classes of first order ordinary differential equations (ODEs) b. Find general solutions to second order ODEs (including special cases of inhomogeneous ODEs) c. Find numerical solutions to first and second order initial value problems (IVPs) using Taylor's theorem, d. Use Laplace transforms to analyse IVPs, particularly with discontinuous forcing, e. Use and analyse systems of linear first order ODEs as models of systems with interactions f. Classify 2nd order partial differential equations (PDEs) and numerically solve parabolic PDEs using finite differences. 3. Interpret the results of a mathematical model. 
Timetabled Learning Activities  Lectures: 3 x 1 hour per week; tutorials: 1 x 1 hour per week. 
Unit Learning Experiences  Ideas are presented and illustrated in lectures with examples and motivation. Problems are derived from scratch to illustrate the thought process of modelling. These ideas are reinforced in the tutorial/workshop setting with experienced practitioners guiding study. Selfdirected learning and working together is emphasised in the assignments and worksheet components of the unit. 
Assessment  Your ability to solve relevant mathematical problems will be assessed at regular intervals during the semester via assignments and a midsemester test (internal only). These assessments are designed to allow you to demonstrate your ability in each of the content areas of the unit and to give you regular feedback on your progress, helping you to identify your 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: Internal Mode: Assignments (4)  20% MidSemester Test  15% Final Examination  65% External Mode: Assignments (4)  30% Final Examination  70% 
Prerequisites  MAS182 Applied Mathematics or MAS161 Calculus and Matrix Algebra or equivalent. 
Exclusions  Students may not enrol in this unit and MAS164 Fundamentals of Mathematics concurrently. 
Appears in these Courses/Majors: see individual structures for context 

Appears in these CoMajors  Mathematics Minor Teaching Area 
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. 
Contacts
Unit Coordinator  

MAS221  Dr Duncan Farrow Senior Lecturer Murdoch Campus t: 9360 2819 e: D.Farrow@murdoch.edu.au o: 245.3.004  Science and Computing, Murdoch Campus 
Unit Contacts  
MAS221 MURDOCH: S2External MURDOCH: S2Internal  Dr Duncan Farrow Senior Lecturer Murdoch Campus t: 9360 2819 e: D.Farrow@murdoch.edu.au o: 245.3.004  Science and Computing, Murdoch Campus 