• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Classification Advanced
    Specialist
  • Course subject Mathematics
  • Areas of interest Mathematics

Offered in association with Fenner School.

In this course the major model types used to represent environmental systems are studied. Mathematical emphasis on how they are constructed will use the theory of inverse problems while the practical emphasis uses systems methodology. The focus will be on hydrological systems and their basic processes, combined with the constraints imposed by the limitations of real observational data.

It will be assumed that students have a reasonable grasp of different model types (time series, PDE/ODE-based models, frequency domain models) as well as understanding of the issue of uncertainty in model inputs, structure and observed outputs.

The assessment of the course will be based on written reports on selected papers, as well as a project exploring a particular paper/model in more detail. The key component of the project will be proposing potential improvements in the work done, and doing at least some initial work on evaluating these improvements. This will include components of:

  • analytical evaluation of model behaviour

  • coding the original and improved versions of the model and conducting sensitivity analysis

  • exploration of structure of uncertainty in model inputs.

  • Propagating uncertainty in inputs through the model

Note: Graduate students attend joint classes with undergraduates but are assessed separately.

Learning Outcomes

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

  1. Describe the basic processes and behaviour of different environmental systems and the major methods of modelling these (e.g. model family selection, model structure identification, parameter estimation, sensitivity assessment, optimisation).

  2. Be able to apply the concept of tradeoffs and uncertainty sources in decision-making and optimisation through critical evaluation of case studies referring to hydrology, ecology, water quality and socioeconomics.

  3. Evaluate the issues in building and evaluating models; formulate treatment of complex real-world problems (not just environmental problems); and select appropriate frameworks and methods to solve these, including using computer platforms and the statistical R package.

  4. Communicate and engage with interest groups involved in a problem; and appreciate how integrated assessment can be used for managing our environment more sustainably, and the valuable role played by modelling.

  5. Build a model of a system, drawing on an existing understanding of the typical behaviour of the system and available data.

  6. Be able to critically evaluate the limitations of a model, and identify and conduct research that will enable improvements in the model.

Indicative Assessment

Assessment will be based on:

Five reviews of selected papers (50%; LO 1, 2)

Two presentations (10%; LO 3, 4)

Project (40%; LO 5 and 6)

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.

Workload

Offered subject to staff availability and student demand. Regular meetings.

Requisite and Incompatibility

You are not able to enrol in this course if you have completed MATH3133

You will need to contact the Mathematical Sciences Institute to request a permission code to enrol in this course.

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. Tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.

Student Contribution Band:
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
2018 $3660
International fee paying students
Year Fee
2018 $5160
Note: Please note that fee information is for current year only.

Offerings and Dates

The list of offerings for future years is indicative only

Second Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery
9312 22 Jul 2019 29 Jul 2019 31 Aug 2019 25 Oct 2019 In Person

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