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| GEOG0626-1 | Theory of Errors
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| Duration : | 15h Th, 15h Pr |
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| Number of credits : |
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| Lecturer : | René Warnant |
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Language(s) of instruction :
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| French language |
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Organisation and examination :
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| Teaching in the second semester |
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Course contents :
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| 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. |
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Learning outcomes of the course :
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| 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, ...). |
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Prerequisites and co-requisites/ Recommended optional programme components :
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| Basic course of mathematics (mainly statistics and matrix algebra). |
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Planned learning activities and teaching methods :
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| Practical work is given in 6 sessions of 2h30. During these sessions, practical problems (mainly in topography) will be solved using theory of errors and least squares. |
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Mode of delivery (face-to-face ; distance-learning) :
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| Face-to-face learning. |
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Recommended or required readings :
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| Lecture notes are available. |
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Assessment methods and criteria :
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| 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. |
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Work placement(s) :
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Organizational remarks :
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| The course (theory) is divided in 6 lectures of 2h30 (one lecture per week during the second semester). |
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Contacts :
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| René Warnant (Professor)
Tel : 04/366 90 16
E-mail: Rene.Warnant@ulg.ac.be
Matthieu Lonchay (Ph. D. Student FNRS)
Tel : 04/366 56 33
E-mail : M.Lonchay@ulg.ac.be |
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