Ondokuz Mayıs Üniversitesi Bilgi Paketi - Ders Kataloğu

Description of Individual Course Units

Course Unit CodeCourse Unit TitleType of CourseYearSemesterECTS
HRT303 Adjustment Calculus-I 927006 3 5 4
Level of Course Unit
First Cycle
Objectives of the Course
To give a fundamentals information of the least squares method, correlation, theory of error propagation, weight, mean error.
Name of Lecturer(s)
Learning Outcomes
  1. to established the normal equation, to calculate the invers matrix, the unknowns and corrections of measurements
  2. to learn the least absolute value adjustment and the least square adjustment
  3. to learn variance, covariance, corelation, variance-covariance matrix
  4. to establish the correction equation and linearization of these equation
  5. to learn the correction and error concept and relation
Mode of Delivery
Formal Education
Prerequisites and co-requisities
Recommended Optional Programme Components
Recommended or Required Reading
Bektaş, S., Dengeleme Hesabı, OMU yayınları, 2005, Samsun.
Öztürk, E., Şerbetçi, M., 1991, Dengeleme Hesabı I, KTÜ Müh. Mim. Fak, Trabzon.
Öztürk, E., Şerbetçi, M., 1987. Dengeleme Hesabı II, KTÜ Müh. Mim. Fak., Trabzon.
Öztürk, E., Şerbetçi, M., 1992. Dengeleme Hesabı III, KTÜ Müh. Mim. Fak., Trabzon 1992.
Ulsoy, E., 1974. Dengeleme Hesabı- En Küçük Kareler Metodu, İstanbul Devlet Mühendislik ve Mimarlık Akademisi, İstanbul.
Wolf, P. R., Ghilani, C. D., 1997. Adjustment Computations- Statistics and Least Squares in Surveying and GIS, New York.
Planned Learning Activities and Teaching Methods
Language of Instruction
Work Placement(s)
Course Contents
Error and correction concepts. Precision criterions. Correlation. Theory of error propagation. Weight. Mean error. Subject, principle and types of adjustment calculus. The least squares method. Adjustment of direct measurements. Adjustment of direct measurements on different precisions and correlations. Introduction to indirect measurement adjustment, selection of unknowns and establishment of normal equations, reduction of normal equations, mean square error of unknowns, reduction of correction equations. Station adjustment.
Weekly Detailed Course Contents
Week Theoretical Practice Laboratory
1.The concept of error and correction terms and precision criterias
2.The matrix of Correlation, weight
3.Error propagation theory
4.The root mean square error
5.the main principles of adjustment calculation
6.The Least Squares Adjustment Method
7.the direct adjustment method
8.the indirect adjustment method
9.the selection of unknowns parameters and the astablishing of coreection equation
11.The establishing, solving of the normal equations,
12.The establishing, solving of the normal equations,
13.the root mean square errors of unknowns,
14.the root mean square errors of the function of unknown
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight (%)
Midterm Examination140
End Of Term (or Year) Learning ActivitiesQuantityWeight (%)
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
Workload Calculation
ActivitiesQuantityTime(hours)Total Workload(hours)
Midterm Examination155
Final Examination188
Attending Lectures14342