544-0905/01 – Theory of Errors and Equalizing Calculus (TCH)

Gurantor departmentDepartment of Geodesy and Mine SurveyingCredits0
Subject guarantordoc. Ing. Jaromír Procházka, CSc.Subject version guarantordoc. Ing. Jaromír Procházka, CSc.
Study levelpostgraduateRequirementCompulsory
YearSemesterwinter
Study languageCzech
Year of introduction1996/1997Year of cancellation2010/2011
Intended for the facultiesHGFIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
PRO18 doc. Ing. Jaromír Procházka, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 1+0
Combined Credit and Examination 1+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:

Conditions for subject completion

Combined form (validity from: 1960/1961 Summer semester, validity until: 2012/2013 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2010/2011 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy K Czech Ostrava Optional study plan
2010/2011 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy P Czech Ostrava Optional study plan
2009/2010 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy P Czech Ostrava Optional study plan
2009/2010 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy K Czech Ostrava Optional study plan
2008/2009 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy K Czech Ostrava Optional study plan
2008/2009 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy P Czech Ostrava Optional study plan
2007/2008 (P2102) Mineral Raw Materials (2102V009) Processing K Czech Ostrava Compulsory study plan
2007/2008 (P2102) Mineral Raw Materials (3902V010) Automation of Technological Processes K Czech Ostrava Compulsory study plan
2007/2008 (P2110) Geological Engineering (2101V003) Geological Engineering K Czech Ostrava Compulsory study plan
2007/2008 (P2111) Mining (2101V009) Mining K Czech Ostrava Compulsory study plan
2007/2008 (P3646) Geodesy and Cartography (3602V002) Geoinformatics K Czech Ostrava Compulsory study plan
2007/2008 (P3646) Geodesy and Cartography (3646V001) Mine Surveying and Geodesy K Czech Ostrava Compulsory study plan
2007/2008 (P3904) Engineering Ecology (3904V012) Environment Protection within Industry K Czech Ostrava Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner