| Semester 1, 2023 Toowoomba On-campus | |
| Units : | 1 |
| School or Department : | School of Surveying & Built Environment |
| Grading basis : | Graded |
| Course fee schedule : | /current-students/administration/fees/fee-schedules |
Staffing
Course Coordinator:
Requisites
Pre-requisite: ENM1600 and SVY2106 or Students must be enrolled in one of the following Programs: GCNS or GCST or GDNS or GDST or MSST or MSPT or MENS
Overview
This course provides students with the necessary skills to collect, analyse and adjust survey measurement data for a variety of applications. The Least Squares technique is normally used to calculate adjusted values and precision indicators, with the results presented in one or more coordinate systems.
The purpose of this course is to provide the students with an understanding of the law of propagation of errors, statistical theory, and applications to the analysis and adjustment of survey observations using the Least Squares method. Both manual methods, using hand held programmable calculators, and computer software packages are used to process the data from a variety of practical problems. Students are taught to analyse and understand the results of adjustments. The course examines the adjustment of terrestrial and GPS observations and coordinate transformations.
Course learning outcomes
The course objectives define the student learning outcomes for a course. On completion of this course, students should be able to:
- discuss surveying errors and apply the law of propagation of errors;
- apply statistical concepts and techniques to the adjustment and analysis of survey data;
- relate outline the concepts of least squares;
- mathematically adjust survey networks by the method of least squares, using both manual methods and computer software packages;
- apply the least squares methods to applications to surveying problems such as GNSS, coordinate transformations, and other surveying networks;
- analyse the stochastic model to determine the degree of precision of a survey;
- demonstrate the knowledge of using least square methods for optimization of surveying networks.
Topics
| Description | Weighting(%) | |
|---|---|---|
| 1. | ANALYSIS OF SURVEYING ERRORS Law of propagation of errors, gross errors, systematic errors, random errors. | 10.00 |
| 2. | REVIEW OF RELEVANT STATISTICAL CONCEPTS Precision and accuracy, theory of errors, normal distribution, confidence limits, rejection criteria, T-Test, Fishers F-Test, Chi Square Test. | 10.00 |
| 3. | INTRODUCTION TO LEAST SQUARES ADJUSTMENT Functional Models, linear and non linear, Stochastic Model, Concept of Weights, the Law of Propagation of Variances, Least Square description, curve fitting Linear Regression, Redundant Observations, Parametric Method of Least Squares, Limitations of Method. | 15.00 |
| 4. | LEAST SQUARES APPLICATION 1-Dimensional network (Levelling); 2-D network (traverse, EDM calibration); 3-D network (GPS) networks). Coordinate Transformations. | 50.00 |
| 5. | ANALYSIS OF OBSERVATIONS Variance - Covariance matrices, "a priori" and "a posteriori" variance factors, correlation, error ellipses. | 10.00 |
| 6. | OPTIMISATION OF NETWORKS Analysis of different results from different computer software. | 5.00 |
Text and materials required to be purchased or accessed
Student workload expectations
To do well in this subject, students are expected to commit approximately 10 hours per week including class contact hours, independent study, and all assessment tasks. If you are undertaking additional activities, which may include placements and residential schools, the weekly workload hours may vary.
Assessment details
| Description | Group Assessment |
Weighting (%) | Course learning outcomes |
|---|---|---|---|
| Quiz | No | 15 | 1,2 |
| Problem Solving 1 | No | 35 | 2,3,4,5,6 |
| Problem Solving 2 | No | 50 | 2,3,4,5,6 |