# SURV202 Surveying Mathematics

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 SURV202 Surveying 0.1334 18 points Second Semester \$1,110.69 \$4,411.27
Prerequisite
SURV 201 or SURV 211
Pre or Corequisite
MATH 160
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,

Tutorials: Two 1.5-hour tutorials - Friday

Textbooks

Required:

• Denys, P. H. (2020), 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)
Scholarship, Critical thinking, Information literacy.
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

## Timetable

### Second Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Blackboard

#### Lecture

Stream Days Times Weeks
Attend
A1 Monday 10:00-10:50 28-34, 36-41
Tuesday 10:00-10:50 28-34, 36-41
Thursday 10:00-10:50 28-34, 36-41
Friday 09:00-09:50 28-34, 36-41

#### Tutorial

Stream Days Times Weeks
Attend one stream from
A1 Friday 10:00-10:50 28-34, 36-41
A2 Friday 11:00-11:50 28-34, 36-41