Course detail
Theory of errors and adjustment I
FAST-GE04Acad. year: 2022/2023
Classification of errors, laws of distibution errors, accuracy and precision, simple analysis of measurements, weight and cofactors, laws of propagation of errors, weights and cofactors, inverse formula, least squares method and adjustment, adjustment of direct observations, pairs of measurement, adjustment by elements, observation equations, residuals equations, normal equations and solution, standard deviations.
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Course curriculum
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, 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
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Basic literature
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)
Recommended reading
Vykutil J.: Teorie chyb a vyrovnávací počet. VUT Brno, 1981. (CS)
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