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.