• Offered by Department of Mathematics
  • ANU College ANU Joint Colleges of Science
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career UGRD
  • Course convener
    • Dr Barry Croke
  • Mode of delivery In Person
  • Co-taught Course
  • Offered in Second Semester 2014
    See Future Offerings

The use of mathematical models has grown rapidly in recent years, owing to the advent of cheap and powerful computers, expanding from applications in the physical and earth sciences to the biological and environmental sciences, and now into industry and commerce. In this course we study the process of starting with an initial succinct non-mathematical description of a problem, formulate associated mathematical models, introduce new mathematical techniques and then determine and interpret solutions that are useful in a real life context. General computational and mathematical techniques and strategies will be introduced by examining specific scientific and industrial problems. The topics to be covered in this course include: Model type selection and formulation, Data analysis techniques (time/space and frequency domain), State Space and Transfer Function Models, Model Structure Identification, Testing and Sensitivity Analysis.  Computations will be done using modern high level scientific computing environments such as SCILAB or PYTHON.The use of mathematical models has grown rapidly in recent years, owing to the advent of cheap and powerful computers, expanding from applications in the physical and earth sciences to the biological and environmental sciences, and now into industry and commerce.

In this course we study the process of starting with an initial succinct non-mathematical description of a problem, formulate associated mathematical models, introduce new mathematical techniques and then determine and interpret solutions that are useful in a real life context. General computational and mathematical techniques and strategies will be introduced by examining specific scientific and industrial problems. Computations will be done using modern high level scientific computing environments such as SCILAB or PYTHON.

Topics to be covered include Model type selection and formulation, Data analysis techniques (time/space and frequency domain), State Space and Transfer Function Models, Model Structure Identification, Testing and Sensitivity Analysis. 

Honours Pathway Option (HPO):

Students must have 12 units of Group B level Mathematics including MATH2405 or a mark of 60 or more in MATH2305 to choose this option. Students who choose this option will be expected to complete extra work of a more theoretical nature. At least one of the assignments worth 10% will be replaced by an alternative assignment, and the exam will contain alternative questions requiring deeper conceptual understanding

Learning Outcomes

Upon successful completion, students will have the knowledge and skills to:

On satisfying the requirements of this course, students will have the knowledge and skills to:

1. Describe many of the basic processes and behaviours of different systems and different ways of representing them
2. Evaluate the issues in building and evaluating models, taking into account their purpose and prior knowledge
3. Explain and use some important modelling tools (transfer function, state space, frequency-domain and DE-based models as well as data analysis techniques)
4. Discuss the role of modelling in both industry and science
5. Describe sensitivity and uncertainty analysis techniques

Indicative Assessment

Assessment will be based on:

  • Exam (40%; LO 1, 2, 3, 4, 5)
  • Three Assignments (15% each) demonstrating ability to apply techniques (15% each; LO 2, 3, 5)
  • Tutorials demonstrating ability to use relevant software (15%; LO 3)

The ANU uses Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. While the use of Turnitin is not mandatory, the ANU highly recommends Turnitin is used by both teaching staff and students. For additional information regarding Turnitin please visit the ANU Online website.

Requisite and Incompatibility

To enrol in this course you must have successfully completed either MATH2305, MATH2405 or 12 units of 2000 level Mathematics courses with a mark of 60 or above

Majors

Minors

Specialisations

Fees

Tuition fees are for the academic year indicated at the top of the page.  

If you are a domestic graduate coursework or international student you will be required to pay tuition fees. Students continuing in their current program of study will have their tuition fees indexed annually from the year in which you commenced your program. Further information for domestic and international students about tuition and other fees can be found at Fees.

Student Contribution Band:
2
Unit value:
6 units

If you are an undergraduate student and have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). You can find your student contribution amount for each course at Fees.  Where there is a unit range displayed for this course, not all unit options below may be available.

Units EFTSL
6.00 0.12500
Domestic fee paying students
Year Fee Description
1994-2003 $1650
2014 $2946
2013 $2946
2012 $2946
2011 $2946
2010 $2916
2009 $2916
2008 $2916
2007 $2520
2006 $2520
2005 $2298
2004 $1926
International fee paying students
Year Fee
1994-2003 $3390
2014 $3762
2013 $3756
2012 $3756
2011 $3756
2010 $3750
2009 $3618
2008 $3618
2007 $3618
2006 $3618
2005 $3450
2004 $3450
Note: Please note that fee information is for current year only.

Offerings, Dates and Class Summary Links

ANU utilises MyTimetable to enable students to view the timetable for their enrolled courses, browse, then self-allocate to small teaching activities / tutorials so they can better plan their time. Find out more on the Timetable webpage.

The list of offerings for future years is indicative only.
Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.

Second Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery Class Summary
7992 21 Jul 2014 01 Aug 2014 31 Aug 2014 30 Oct 2014 In Person N/A

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