Duration
20h Th, 30h Pr
Number of credits
| Master in geography: geomatics (120 ECTS) | 5 crédits |
Lecturer
Coordinator
Language(s) of instruction
French language
Organisation and examination
Teaching in the second semester
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit 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 learning unit
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, ...).
Prerequisite knowledge and skills
Basic course of mathematics (mainly probability, statistics and matrix algebra).
Planned learning activities and teaching methods
Practical work is given in 10 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, hybrid learning)
Face-to-face learning.
Recommended or required readings
Lecture notes are available.
Exam(s) in session
Any session
- In-person
written exam ( open-ended questions )
Additional information:
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 is given during the first semester (3 hour lecture per week).
Contacts
Andrea Nascetti
Roland Billen