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| HRT3001 | Adjustment Calculus - I | 2+1+0 | ECTS:4 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of GEOMATICS ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 2 hours of lectures and 1 hour of practicals per week | | Lecturer | Prof. Dr. Mualla YALÇINKAYA | | Co-Lecturer | ASSOC. PROF. DR. Emine TANIR KAYIKÇI, | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | Determination of exact value which is the nearest value to real value of unknowns (values having highest probability, adjusted values) by using data more than necessary number, determination of accuracies of exact values or their functions. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | understand that each geodetic observation contains error and imagine the necessity of adjustment calculations. | 1,2 | 1 | | LO - 2 : | calculate accuracies of measurements and their functions and can evaluate how much we can reach real value. | 1,2 | 1 | | LO - 3 : | learn Theory of Error Propagation and calculate accuracies by applying to functions of measurements | 1,2 | 1 | | LO - 4 : | calculate and interprete exact value and mean square error of exact value and its function by means of adjustment of direct measurement with Least Squares Method and make solutions with computer program. | 1,2 | 1 | | LO - 5 : | write code in Matlab environment for the solution of adjustmen calculation problems | 1,2,4 | 4 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Error and correction concepts. Accuracy criterions. Correlation. Theory of error propagation. Weight. Mean Square error and error calculations. Subject, principles and types of adjustment calculus. The Least Squares method. Adjustment of direct measurements. Adjustment of direct measurements on different and equal weights. Adjustment of direct measurements on different precissions and correlations. Adjustment of unknown vector determined at different times. Adjustment of indirect measurements. Adjustment of indirect measurements on different and equal weights. Adjustment of indirect measurements on different precissions and correlations. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | General definition of adjustment calculation. Error and correction concepts. Accuracy criterions. | | | Week 2 | Definition of correlation. Physical an algebraic correlation. Theory of error propagation. Numeric exercise. | | | Week 3 | Definition of weight. Definition of inverse weight and Theory of propagation of inverse weights. Numeric exercise. | | | Week 4 | Mean error of unit measurement. Mean error of measurements on equal precissions and correlations. Numeric exercise. | | | Week 5 | Mean error of arithmetic mean. Calculation of mean error with double measurement. Numeric exercise. | | | Week 6 | Subject, principles and types of adjustment calculus. The Least Squares Method. Adjustment of direct measurements. Lab. Exam | | | Week 7 | Adjustment of direct measurements on different and equal weights. Numeric exercise. | | | Week 8 | Mid-term exam | | | Week 9 | Adjustment of direct measurements on different precissions and correlations. Numeric exercise. | | | Week 10 | Adjustment of unknown vector determined at different times. Numeric exercise. | | | Week 11 | Model hypothesis testing and test of outlier observations. | | | Week 12 | Geodetic datum, free adjustment, Lab. Exam | | | Week 13 | Geodetic accuracy and confidence criteria. | | | Week 14 | Numerical Applications. | | | Week 15 | Homework review and various applications | | | Week 16 | End-of-term exam | | | |
| 1 | Öztürk, E., Şerbetçi, M. 1991; Dengeleme Hesabı I, KTÜ Müh. Mim. Fak, Trabzon. | | | 2 | Öztürk, E., Şerbetçi, M. 1987; Dengeleme Hesabı II, KTÜ Müh. Mim. Fak., Trabzon. | | | |
| 1 | Koch, K. R. 1999; Parameter Estimation and Hypothesis Testing in Linear Models, Springer-Verlag, Berlin. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 8 | | 2 | 30 | | Laboratory exam | 6
12 | | 1 | 20 | | End-of-term exam | 16 | | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 2 | 14 | 28 | | Sınıf dışı çalışma | 3 | 9 | 27 | | Arasınav için hazırlık | 6 | 1 | 6 | | Arasınav | 2 | 1 | 2 | | Uygulama | 1 | 12 | 12 | | Ödev | 5 | 8 | 40 | | Dönem sonu sınavı için hazırlık | 8 | 1 | 8 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 125 |
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