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GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of GEOMATICS ENGINEERING
Masters with Thesis
Course Catalog
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FBE
GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of GEOMATICS ENGINEERING / Masters with Thesis
Katalog Ana Sayfa
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JDZ5830Advanced Adjustment3+0+0ECTS:7.5
Year / SemesterFall Semester
Level of CourseSecond Cycle
Status Elective
DepartmentDEPARTMENT of GEOMATICS ENGINEERING
Prerequisites and co-requisitesNone
Mode of DeliveryFace to face
Contact Hours14 weeks - 3 hours of lectures per week
LecturerProf. Dr. Emine TANIR KAYIKÇI
Co-LecturerNone
Language of instruction
Professional practise ( internship ) None
 
The aim of the course:
Adjustment calculus with matrixes.
 
Programme OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
PO - 1 : learn use of matrices51
PO - 2 : solve adjustment problems using matrices91
PO - 3 : do several adjustment computation101,3
PO - 4 : Make solutions of current geodetic problems by using alternative estimation models51
PO - 5 : Make comparion of results obtained by different estimation models101
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), PO : Learning Outcome

 
Contents of the Course
Least Squares Adjustment, Principles of Least Squares, Normal Equations, Conditional Equations, Constraint Equations, Sequential Adjustment, Variance Component Estimation, Combined Adjustment of GPS and Terrestrial Measurement Data, intra- and inter-technique combination of Space Geodetic Techniques, System Reduction by Preelimination of Parameters, Adjustment by dividing groups, Theoretical Basics of Alternative Estimation Procedures (LP norm Estimates, M-norm Estimates), Applications of Alternative Estimation Procedures, Numeric Solution for Alternative Estimation Procedures, Advanced Estimation Models:Least Squares Collocation, Kalman Filtering, Bayesian Estimation.
 
Course Syllabus
 WeekSubjectRelated Notes / Files
 Week 1Least-Squares Principles and Adjustment with Least-Squares
 Week 2Normal Equations
 Week 3Conditional Equations and Their Effects on results
 Week 4Constraint Equations and Their Effects on results
 Week 5Sequential Adjustment
 Week 6Variance Component Estimation
 Week 7Combined Adjustment of GPS and Terrestrial Measurement Data
 Week 8Intra-technique Combination of Space Geodetic Techniques
 Week 9Mid-term
 Week 10Inter-technique Combination of Space Geodetic Techniques
 Week 11System Reduction by Preelimination of Parameters
 Week 12Theoretical Basics of Alternative Estimation Procedures (LP-norm Estimates and LP-Norm Estimates)
 Week 13Applications of Alternative Estimation Procedures
 Week 14Advanced Estimation Models: Least Squares Collocation, Kalman Filtering, Bayesian Estimation
 Week 15Advanced Estimation Models: Least Squares Collocation, Kalman Filtering, Bayesian Estimation
 Week 16End-of-term exam
 
Textbook / Material
1Koch, K.R. 1999; Parameter Estimation and Hypothesis Testing in Linear Models, Springer-Verlag, Berlin.
2Harvey, B. R. 1991; Practical Least Squares and Statistics for Surveyors, School of Surveying University of NSW. (Monograph 13)
 
Recommended Reading
1Öztürk, E., Şerbetçi, M., 1992; Dengeleme Hesabı III, KTÜ Müh. Mim. Fak., Trabzon 1992.
2Tanır, E. 2008; A STUDY for OPTIMAL INTRA-TECHNIQUE COMBINATION FOR VLBI ANALYSIS CENTER SOLUTIONS, Technische Universität Wien, Institüt für Geodäsie und Geophysik, Wien, Doktora Tezi.
 
Method of Assessment
Type of assessmentWeek NoDate

Duration (hours)Weight (%)
Mid-term exam 9 2 30
Homework/Assignment/Term-paper 11
12
13
14
15
5 20
End-of-term exam 16 2 50
 
Student Work Load and its Distribution
Type of workDuration (hours pw)

No of weeks / Number of activity

Hours in total per term
Yüz yüze eğitim 3 14 42
Sınıf dışı çalışma 2 5 10
Arasınav için hazırlık 1 5 5
Arasınav 1 1 1
Ödev 1 5 5
Dönem sonu sınavı için hazırlık 2 1 2
Dönem sonu sınavı 1 1 1
Diğer 1 0 0 0
Total work load66