Surveying Mathematics

University of Otago

Course Description

  • Course Name

    Surveying Mathematics

  • Host University

    University of Otago

  • Location

    Dunedin, New Zealand

  • Area of Study

    Geography, Mathematics

  • Language Level

    Taught In English

  • Prerequisites

    SURV 201 or SURV 211

  • Course Level Recommendations


    ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

    Hours & Credits

  • Credit Points

  • Recommended U.S. Semester Credits
    3 - 4
  • Recommended U.S. Quarter Units
    4 - 6
  • Overview

    An introduction to the mathematical methods used in spatial positioning and analysis. Includes concepts of measurement, least squares analysis using observation equations, transformations, spherical trigonometry and map projections.

    Course Structure
    The course covers the following topics:
    -Survey measurement and spatial analysis
    -Statistical testing
    -Least squares analysis using observation equations
    -Least squares analysis using non-linear observation equations
    -Spherical trigonometry

    Learning Outcomes
    -To apply basic mathematical and statistical procedures to spatial measurement and analysis problems
    -To understand measurement errors, their sources and error propagation of a set of linear or non-linear functions
    -To establish an appropriate statistical hypothesis for a surveying-related problem and test it using the appropriate statistical distribution
    -To formulate simple observation equations, as might be needed to solve surveying applications
    -To apply non-linear least squares analysis techniques to problems in surveying practice
    -To use spherical trigonometry to be able to solve practical navigation problems
    -To understand the foundation of conformal map projection theory and be able to apply this theory to map projection problems


    Denys, P. H. (2015), Computational Models for Surveying Applications


    Cooper, M.A.R. Fundamentals of Survey Measurement and Analysis (Granada Publishing)
    Anderson and Mikhail, (1998). Surveying Theory and Practice (7th Edition)

Course Disclaimer

Courses and course hours of instruction are subject to change.

Eligibility for courses may be subject to a placement exam and/or pre-requisites.

Some courses may require additional fees.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.

Please reference fall and spring course lists as not all courses are taught during both semesters.

Availability of courses is based on enrollment numbers. All students should seek pre-approval for alternate courses in the event of last minute class cancellations

Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.