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.
| Paper title | Surveying Mathematics |
|---|---|
| Paper code | SURV202 |
| Subject | Surveying |
| EFTS | 0.1334 |
| Points | 18 points |
| Teaching period | Semester 2 (On campus) |
| Domestic Tuition Fees (NZD) | $1,173.39 |
| International Tuition Fees | Tuition Fees for international students are elsewhere on this website. |
- Prerequisite
- SURV 201 or SURV 211
- Pre or Corequisite
- MATH 130
- Restriction
- SURV 212
- Schedule C
- Science
- Eligibility
Suitable for students with a good understanding of fundamental surveying methods and techniques.
Requires an understanding of mathematical and statistical concepts.- Contact
- paul.denys@otago.ac.nz
- Teaching staff
- Lecturer: Dr Paul Denys
- Paper Structure
The paper covers the following topics:
- Survey measurement and spatial analysis
- Statistical testing
- Least squares analysis using linear observation equations
- Least squares analysis using non-linear observation equations
- Spherical trigonometry
- Map projections
- Teaching Arrangements
Lectures: Four 1-hour lectures - Monday, Tuesday, Thursday, Friday
Tutorials: Two 1-hour tutorials - Friday
- Textbooks
Required:
- Denys, P. H. (2023), Computational Models for Surveying Applications
Recommended:
- Cooper, M.A.R. Fundamentals of Survey Measurement and Analysis (Granada Publishing)
- Anderson and Mikhail, (1998). Surveying Theory and Practice (7th Edition)
- Graduate Attributes Emphasised
- Scholarship, Critical thinking, Information literacy.
View more information about Otago's graduate attributes. - Learning Outcomes
- The goals of the paper are
- 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
