544-0905/02 – Theory of Errors and Equalizing Calculus (TCH)

Gurantor departmentDepartment of Geodesy and Mine SurveyingCredits10
Subject guarantordoc. Ing. Jaromír Procházka, CSc.Subject version guarantordoc. Ing. Jaromír Procházka, CSc.
Study levelpostgraduateRequirementChoice-compulsory
YearSemesterwinter + summer
Study languageCzech
Year of introduction2009/2010Year of cancellation
Intended for the facultiesHGFIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
JIR72 doc. Ing. Eva Jiránková, Ph.D.
PRO18 doc. Ing. Jaromír Procházka, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 20+0
Combined Examination 20+0

Subject aims expressed by acquired skills and competences

Deepening of knowledge of theory of errors and adjustment calculus application for planning of accuracy and optimizing of measurements, evaluation of accuracy of measured quantities, evaluation of results, their analysis and adjustment of redundant number of measured values.

Teaching methods

Lectures
Individual consultations

Summary

Probability distribution of random quantities, errors of a measurement (sources of errors, sorts of errors, recognition of errors), accuracy of a measurement, normal distribution, limit deviations and elimination of outlying measurements from a file of measuring results, systematic errors, law of random and systematic deviations propagation, weights of measured quantities, least squares method, adjustment of direct observations, pairs of measurements, adjustment of observation equations, adjustment of condition equations, line of regression, curve of regression.

Compulsory literature:

BÖHM J., RADOUCH V., HAMPACHER M.: Vyrovnávací počet, SNTL, Praha 1990

Recommended literature:

HAMPACHER M., RADOUCH V.: Teorie chyb a vyrovnávací počet 10, 20 (skripta), Ediční středisko ČVUT 1997 HIMMELBLAU, D. M.: Process analysis by statistical methods. New York: Wiley, 1970, xi, 463 p. ISBN 04-713-9985-X

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

___________________________________________________________________

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

• Random quantity. • Principles of random sampling theory and estimation theory. • Principles of theory of measuring errors. • Law of random and systematic deviations propagation. • Adjustment of direct observations, pairs of measurements. • Adjustment of observation equations. • Adjustment of condition equations. • Measuring results analysis, regression and correlation analysis, testing of hypotheses.

Conditions for subject completion

Full-time form (validity from: 2013/2014 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Examination Examination  
Mandatory attendence parzicipation:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy P Czech Ostrava Choice-compulsory study plan
2019/2020 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy K Czech Ostrava Choice-compulsory study plan
2018/2019 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy P Czech Ostrava Choice-compulsory study plan
2018/2019 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy K Czech Ostrava Choice-compulsory study plan
2017/2018 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy P Czech Ostrava Choice-compulsory study plan
2017/2018 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy K Czech Ostrava Choice-compulsory study plan
2016/2017 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy P Czech Ostrava Choice-compulsory study plan
2016/2017 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy K Czech Ostrava Choice-compulsory study plan
2015/2016 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy P Czech Ostrava Choice-compulsory study plan
2015/2016 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy K Czech Ostrava Choice-compulsory study plan
2014/2015 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy P Czech Ostrava Choice-compulsory study plan
2014/2015 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy K Czech Ostrava Choice-compulsory study plan
2013/2014 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy P Czech Ostrava Choice-compulsory study plan
2013/2014 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy K Czech Ostrava Choice-compulsory study plan
2012/2013 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy P Czech Ostrava Choice-compulsory study plan
2012/2013 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy K Czech Ostrava Choice-compulsory study plan
2011/2012 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy P Czech Ostrava Choice-compulsory study plan
2011/2012 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy K Czech Ostrava Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner