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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.

Last updated: 3 April 2019