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| HRT3047 | Adjustment Calculus - I | 2+1+0 | ECTS:5 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of GEOMATICS ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 2 hours of lectures and 1 hour of practicals per week | | Lecturer | Prof. Dr. Mualla YALÇINKAYA | | Co-Lecturer | Prof. Dr. Mualla YALÇINKAYA | | 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. | 1.3 | 4, | | LO - 3 : | constitute stochastic model by calculating variance-covariance matrices according to type of measurements. | 4.2 | 1, | | LO - 4 : | learn Theory of Error Propagation and calculate accuracies by applying to functions of measurements | 1.2 | 1, | | LO - 5 : | constitute stochastic and mathematic models in adjustment calculations according to type of measurements. | 1.2 | 1, | | LO - 6 : | 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. | 1.2 | 1, | | LO - 7 : | calculate and interprete exact value and mean square error of exact value and its function by means of adjustment of indirect measurement with Least Squares Method. | 4.2 | 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 unknown vector determined at different times. Adjustment of indirect measurements. Adjustment of direct measurements on different and equal weights. Adjustment of direct measurements on different precissions and correlations. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | General definition of the balancing account. Error and Correction concepts. Sensitivity criteria | | | Week 2 | Definition of correlation. Physical and algebraic correlation. Error propagation theory. Numerical application. | | | Week 3 | Definition of weight. Definition of inverse weight and propagation rule of inverse weights. Numerical application. | | | Week 4 | Mean error of a unit measure. Mean error of measures with equal precision and correlation. Numerical application. | | | Week 5 | Average error of arithmetic mean. Calculation of average error using double measures. Numerical application. | | | Week 6 | Subject, main principles and types of balancing calculations. Least Squares Method. Direct Measures Balancing. | | | Week 7 | Balancing of direct measures of equal and unequal weights. Numerical application. | | | Week 8 | Compensation of direct measures with different sensitivities and correlations. Numerical application. | | | Week 9 | Midterm Exam | | | Week 10 | Balancing of vectors determined several times. Numerical implementation. | | | Week 11 | Model hypothesis testing and test for discrepancy in measures. | | | Week 12 | Geodetic datum, free grid balancing, Quiz. | | | Week 13 | Precision and confidence measures in geodetic networks. | | | Week 14 | Numerical Application. | | | Week 15 | Various applications | | | Week 16 | Final Exam | | | |
| 1 | Ergün Öztürk, Muzaffer ŞERBETÇİ, Dengeleme Hesabı Cilt II, KTÜ Basımevi, Trabzon, 1995 | | | 2 | Ergün Öztürk, Muzaffer ŞERBETÇİ, Dengeleme Hesabı II KTÜ Basımevi, Trabzon, 1995 | | | |
| 1 | Hüseyin DEMİREL, Dengeleme Hesabı, YTÜ Basımevi, İstanbul, 2005
| | | 2 | Wolf, P. R., Ghilani, C. D., 1997, Ghilani: Adjustment Computation : Statistics and Least Squares in Surveying and GIS, John Wiley and Sons, Inc., ISBN 0-471-16833-5. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | | 1,5 | 30 | | Laboratory exam | 12 | | 0,5 | 20 | | End-of-term exam | 16 | | 1,5 | 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 | 10 | 1 | 10 | | Arasınav | 2 | 1 | 2 | | Uygulama | 1 | 14 | 14 | | Kısa sınav | 1 | 1 | 1 | | Dönem sonu sınavı için hazırlık | 10 | 1 | 10 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 94 |
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