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Theory of Errors and Adjustment I

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code544-0124/01
Number of ECTS Credits Allocated5 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *First Cycle
Year of Study *Second Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites
PrerequisitiesCourse Unit CodeCourse Unit Title
714-0567Bachelor Mathematics II
Name of Lecturer(s)Personal IDName
NOV83Ing. Miroslav Novosad, Ph.D.
KOS0259doc. Ing. Jakub Kostelecký, Ph.D.
Summary
Study the object Theory of Errors and Adjustment I is focused on numerical processing of the measured results, determining the most value from the measured results and analysis of accuracy.
Learning Outcomes of the Course Unit
The aim of the course is to acquire skills for working with the measured results, determining the most value from the measured results and analysis of accuracy.
Course Contents
Lectures:
1st Basic concepts of the theory of errors and adjustment, the probability
2nd Random quantities, characteristics of random quantities
3rd Distribution of random quantities, alternative, binomial, normal
4th Errors of easurements and their classification
5th Standard deviation, analysis of precision, critical error
6th The law of error propagation, the real error equation quantities measured, mean square error equation quantities measured, application of the law
7th Adjustment of method of least squares, principle of method
8th Adjustment of direct observations
9th Adjustment of pairs of measurements
10th Adjustment by elements, formulation of problems, normal equations
11th Solving normal equations
12th Standard deviation in adjustment by elements

Exercise:
Numerical examples in relation to individual lectures
Recommended or Required Reading
Required Reading:
Hampacher, M., Radouch, V.: Teorie chyb a vyrovnávací počet 10, skripta ČVUT Praha 2003
Hampacher, M., Radouch, V.: Teorie chyb a vyrovnávací počet 10, skripta ČVUT Praha 2003
Recommended Reading:
Böhm, J., Hampacher, M., Radouch, V.: Teorie chyb a vyrovnávací počet, Kartografie, Praha 1990
Hampacher, M., Radouch, V.: Teorie chyb a vyrovnávací počet 10, 20, příklady a návody ke cvičení ČVUT Praha 2000
Tyrner, M., Štěpánková, H.: Teorie chyb a vyrovnávací počet, skripta VŠB – TU Ostrava 1993
Vykutil, J.: Teorie chyb a vyrovnávací počet, skripta VUT Brno 1988
Böhm, J., Hampacher, M., Radouch, V.: Teorie chyb a vyrovnávací počet, Kartografie, Praha 1990
Hampacher, M., Radouch, V.: Teorie chyb a vyrovnávací počet 10, 20, příklady a návody ke cvičení ČVUT Praha 2000
Tyrner, M., Štěpánková, H.: Teorie chyb a vyrovnávací počet, skripta VŠB – TU Ostrava 1993
Vykutil, J.: Teorie chyb a vyrovnávací počet, skripta VUT Brno 1988
Planned learning activities and teaching methods
Lectures, Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Exercises evaluation and ExaminationCredit and Examination100 (100)51
        Exercises evaluationCredit33 17
        ExaminationExamination67 (67)34
                Written examinationWritten examination33 17
                OralOral examination34 17