University of Liege | Version française
Academic year 2014-2015Value date : 12/05/2015
GEOG0626-1  Theory of Errors

Duration :  15h Th, 15h Pr
Number of credits :  
Bachelor in geographical sciences, general orientation, 3rd year3
One-year preliminary programme leading to the Master in Geographical Sciences, Geomatics and Geometrology orientation3
Lecturer :  René Warnant
Language(s) of instruction :  
French language
Organisation and examination :  
Teaching in the first semester, review in January
Course contents :  
The first part of the course is dedicated to the theory of errors. The basic concepts of the theory of errors and of the least square method are presented. Then, the course studies the notion of error propagation and shows how the concept of variance-covariance matrix (or cofactors) allows to derive the equations giving the maximum acceptable error and the optimal value of the unknown parameters. This theory is applied to practical problems in topography and in GNSS.
Learning outcomes of the course :  
Students will be able to solve (in an optimal way according to least squares principle) practical problems involving different types of geographical data. This includes the determination of the optimal value of a measured or a computed parameter, the computation of error propagation, of the maximum acceptable error, of the error ellipse, ...).
Prerequisites and co-requisites/ Recommended optional programme components :  
Basic course of mathematics (mainly probability, statistics and matrix algebra).
Planned learning activities and teaching methods :  
Practical work is given in 5 sessions of 3h00. During these sessions, practical problems (mainly in topography) will be solved using theory of errors and least squares.
Mode of delivery (face-to-face ; distance-learning) :  
Face-to-face learning.
Recommended or required readings :  
Lecture notes are available.
Assessment methods and criteria :  
The evaluation consists in a written exam on:

- the material seen during the theoretical lectures;

- practical problems (similar to the one solved during practical work sessions) to be solved using the theory of errors and least squares.
Work placement(s) :  
Organizational remarks :  
The course (theory) is divided in 5 lectures of 3h00 (one lecture per week during the first semester).
Contacts :  
René Warnant (Professor) Tel : 04/366 90 16 E-mail: Rene.Warnant@ulg.ac.be

Items online :  
On line lecture notes:
On line lecture notes:



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