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Mathematics of Spatial Information (GEOM90040)

Graduate courseworkPoints: 12.5On Campus (Parkville)

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Year of offer2019
Subject levelGraduate coursework
Subject codeGEOM90040
Semester 2
FeesSubject EFTSL, Level, Discipline & Census Date


In this subject students will learn about the range of computational techniques applicable to problems commonly arising in surveying and spatial information. This subject applies the mathematical and computational knowledge acquired in COMP20005 Engineering Computation; MAST10007 Linear Algebra (or its equivalent). The content of this subject is relevant to GEOM90033 Satellite Positioning Systems, and GEOM90039 Advanced Surveying and Mapping. The subject is of particular relevance to students wishing to establish a career in surveying engineering, mining, mapping, or spatial information in general, and is also relevant to a range of civil engineering disciplines where the capture and processing of spatial or survey measurements to meet a specific performance specification should be considered.


Least squares adjustment, survey measurement errors, survey network design and adjustment, coordinate systems, geodetic datum, datum transformations.

Intended learning outcomes


On completion of this subject the student is expected to:

  1. Define parameters of an ellipsoid as a mathematical representation of the Earth’s surface and use it for computations relevant to surveying, mapping, navigation and geodesy
  2. Manipulate coordinates on the basis of understanding the concepts of datums, coordinate systems and map projections
  3. Use vector theory to solve fundamental problems associated with practice in surveying and spatial information
  4. Apply least square theory appropriately to solve simple adjustment and estimation problems in spatial science.

Generic skills

  • Ability to undertake problem identification, formulation, and solution
  • Understanding of social, cultural, global, and environmental responsibilities and the need to employ principles of sustainable development
  • Capacity for creativity and innovation
  • Understanding of professional and ethical responsibilities, and commitment to them
  • Capacity for lifelong learning and professional development.

Eligibility and requirements





Non-allowed subjects


Core participation requirements

The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.

Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home



  • 10 x written assignments (30%) each of approximately 100 words, completed weekly, approximately 40 hours of work. Intended Learning Outcomes (ILOs) 1 to 4 are addressed in these assignments
  • Major Assignment (20%) approximately 1000 words, approximately 30 hours of work is required for this major assignment, due end of semester. ILOs 1 to 4 are addressed in this assignment
  • 1-hour class test (10%) around mid-semester, approximately 500 words. ILOs 1 and 2 are addressed in this test
  • 4-in class immediate feedback and assessment tests (40%). ILOs 1 to 4 are addressed in these tests

Dates & times

  • Semester 2
    Principal coordinatorKourosh Khoshelham
    Mode of deliveryOn Campus — Parkville
    Contact hours48 hours (Lectures: 2 hours per week; Laboratory Exercises: 2 hours per week)
    Total time commitment200 hours
    Teaching period29 July 2019 to 27 October 2019
    Last self-enrol date 9 August 2019
    Census date31 August 2019
    Last date to withdraw without fail27 September 2019
    Assessment period ends22 November 2019

    Semester 2 contact information

    Kourosh Khoshelham


Time commitment details

200 hours

Further information

  • Texts

    Prescribed texts


  • Subject notes


    The subject is based principally on presentations by experienced industry professionals who present case studies in their area of expertise. Computer laboratory exercises are used reinforce the theory as well as to showcase the practical application of this material.


    Lecture materials and notes will be provided via the LMS.


    Presenters from the private land surveying industry will provide students with the material for this subject. Real world case studies will demonstrate the applicability of this material across the broader surveying and spatial industry.

  • Available through the Community Access Program

    About the Community Access Program (CAP)

    This subject is available through the Community Access Program (also called Single Subject Studies) which allows you to enrol in single subjects offered by the University of Melbourne, without the commitment required to complete a whole degree.

    Entry requirements including prerequisites may apply. Please refer to the CAP applications page for further information.

    Additional information for this subject

    Subject coordinator approval required

  • Available to Study Abroad and/or Study Exchange Students

    This subject is available to students studying at the University from eligible overseas institutions on exchange and study abroad. Students are required to satisfy any listed requirements, such as pre- and co-requisites, for enrolment in the subject.

Last updated: 22 August 2019