Czech

Not applicable.

Institute of Geodesy (GED)

Basic knowledge of students about theory of errors. Basic information of precision of measurements and adjustment.

Surveying and computing of measurements on the plane, Linear algebra - fundaments of matrix calculus, Analytic geometry, Derivative of a function, Taylors expansion of a function.

Basic knowledge of surveying methods, Precise measurements of distances and angles, Mathematics - partial derivative

The course is taught through lectures, practical classes and self-study assignments. Attendance at lectures is optional, but attendance at classes is compulsory.

Attendance, submission and acceptance of single tasks protocols, 4 test, passing the final written test. The exam is composed from test examples, exercise and oral part. 30% of the points are generated from the exercise evaluation. 20% from test examples and 50% oral part of exam. The total number of points is 100, for the successful completion of the exam 50% of points

1. History of subject. Theoretical base. Probability and statistic
2. Definition errors of measurements and their classification.
3. Distribution of random quantities and their specification in theory of errors
4. Standard deviation and simple analysis of precision
5. Weight, cofactors, covariance matrix, cofactor matrix
6. Laws of error propagation, law of weights propagation, inverse formula
7. Principle of least squares method, types of adjustment
8. Adjustment of direct observations, pairs of measurements
9. Principle of adjustment by elements, observation equations
10. Residuals equations, normal equations and their solution, standard deviation of unit weight
11. Standard deviation, computed quantities

Not applicable.

After completing the course, the students should be able touse the basics necessary to deal with terms as precision and accuracy, laws of errors propagation and principle of adjustment.

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Do not required

Not applicable.

Böhm, J., Hampacher, M., Radouch, V.: Teorie chyb a vyrovnávací počet. Kartografie Praha, 1990. (CS)
Hampacher, M., Radouch, V.: Teorie chyb a vyrovnávací počet 10. ČVUT Praha, 1997. (CS)
WEIGEL, Josef: Teorie chyb a vyrovnávací počet I. VUT, 2009. (CS)
Wolf, P.R., Ghilani, Ch.D.: Adjustment Computation. John Wiley, New York., 1997. (EN)

Kubáčková, L.: Metódy spracovania experimentalnych údajov. Veda, Bratislava, 1990. (SK)
Vykutil J.: Teorie chyb a vyrovnávací počet. VUT Brno, 1981. (CS)