Unit (2020)
Information on this page, including unit offerings, is from the 2020 academic year.
Environmental and Biological Modelling (MAS351)
Organisational Unit  Information Technology, Mathematics and Statistics  
Credit Points  3  
Availability  MURDOCH: S1internal, S1external  
Teaching Timetables  Murdoch S1 

Description  This unit will examine in detail mathematical models of population ecology, biochemical kinetics, physiological problems, blood flow and spatial characteristics of the spread of pollutants and of disease as well as applications in groundwater flow and marine science (including ideas from basic oceanography). Mathematical techniques covered may include regular and singular perturbation theory, conservation laws and dimensional analysis, complex variables and partial differential equations. Numerical analysis will be incorporated throughout the unit as it is required.  
Unit Learning Outcomes  1. Have the technical skills to identify and solve mathematical problems involving differential equations with variable coefficients. 2. Identify problems involving a small parameter and solve using perturbation techniques. 3. Identify and formulate problems involving partial differential equations from real world scenarios. 4. Solve and interpret solutions to problems involving models of various realworld phenomena, including groundwater flow, fluid mechanics, chemical kinetics and structures. 5. Interpret problems to identify appropriate solution techniques. Formulate, solve and interpret results in the context of the real application. 

Timetabled Learning Activities  Lectures: 3 x 1 hours per week; tutorials: 1 x1 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. The approach to learning in this unit is via example and practice problem solving. The lectures in the unit provide background material and worked examples showing applications of various mathematical techniques for exploring various modelling problems. The tutorials provide further learning via tutor assisted problem exploration and solving. 

Assessment  All students' abilities to correctly apply mathematical modelling methods will be assessed at regular intervals during the semester via assignments and a midsemester test (internal only). These assessments are designed to allow students to demonstrate their ability in each of the content areas of the unit and to give you 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: Internal Mode: Assignments (4)  20% MidSemester Test  10% Final Examination  70% External Mode: Assignments (4)  30% Final Examination  70% 

Prerequisites  MAS221/MAS208 Mathematical Modelling OR MAS220/MAS261 Mathematical Methods.  
Exclusions  Students may not enrol in this unit and any of MAS164 Fundamentals of Mathematics, MAS182 Applied Mathematics, or MAS161 Calculus and Matrix Algebra concurrently. Students who have successfully completed MAS305 Environmental and Biological Modelling 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. 
Contacts
Unit Coordinator  

MAS351  Professor Graeme Hocking Professor Murdoch Campus t: 9360 2826 e: G.Hocking@murdoch.edu.au o: 245.3.010  Science and Computing, Murdoch Campus 
Unit Contacts  
MAS351 MURDOCH: S1External MURDOCH: S1Internal  Professor Graeme Hocking Professor Murdoch Campus t: 9360 2826 e: G.Hocking@murdoch.edu.au o: 245.3.010  Science and Computing, Murdoch Campus 