Course Details

Theory of errors and adjustment I

Academic Year 2024/25

GE04 course is not part of any programme in the faculty

Course Guarantor

Institute

Language of instruction

Czech

Credits

5 credits

Semester

summer

Forms and criteria of assessment

course-unit credit and examination

Offered to foreign students

Not to offer

Course on BUT site

Lecture

13 weeks, 2 hours/week, elective

Syllabus

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, 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

Exercise

13 weeks, 2 hours/week, compulsory

Syllabus

1. Introduction, basic of probability 2. Distribution of random quantities, Normal distribution 3. Errors of measurements and their classification, random errors 4. Standard deviations, precision, accuracy 5. Confidence intervals 6. Weight, cofactors, cofactors matrix, covariance matrix 7. Examples of law propagation of errors 8. Examples of law propagation of standard deviations 9. Inverse problems of errors 10. Law of propagation of weight and cofactors 11. Adjustment of direct observations 12. Pairs of measurements. Final test 13. Check of fulfilling the credit conditions,granting of credits.