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FACULTY of ENGINEERING / DEPARTMENT of GEOMATICS ENGINEERING

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FACULTY of ENGINEERING / DEPARTMENT of GEOMATICS ENGINEERING
Katalog Ana Sayfa
  Katalog Ana Sayfa  KTÜ Ana Sayfa   Katalog Ana Sayfa
 
 
HRT2047Numerical Analysis3+0+0ECTS:4
Year / SemesterFall Semester
Level of CourseFirst Cycle
Status Compulsory
DepartmentDEPARTMENT of GEOMATICS ENGINEERING
Prerequisites and co-requisitesNone
Mode of Delivery
Contact Hours14 weeks - 3 hours of lectures per week
LecturerProf. Dr. Emine TANIR KAYIKÇI
Co-LecturerNone
Language of instructionTurkish
Professional practise ( internship ) None
 
The aim of the course:
To give an introduction to numerical calculating processes and numerical solution of a lot of geodetic problems.
 
Learning OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
LO - 1 : understand number systems and type of errors.1.11,
LO - 2 : know type of enterpolation.2.23,
LO - 3 : make matrix operations.1.11,
LO - 4 : fit curve by LSQ Method.6.33,
LO - 5 : apply numerical differentiation and numerical integration to geodetic problems6.33,
LO - 6 : solve equation systems1.11,
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

 
Contents of the Course
Number Systems and Errors: Representation of numbers, number systems, types of errors in numerical computations and error analysis, examples. Matrices: Matrix operations, applications. Solution Methods for Single-Variable Functions: Methods for solving single-variable functions, applications. Solution Methods for Linear and Non-Linear Systems of Equations: Methods for solving linear and non-linear systems of equations, applications. Interpolation: Interpolation methods, applications.
 
Course Syllabus
 WeekSubjectRelated Notes / Files
 Week 1Numbers, Number Types and Number Systems, Different Applications.
 Week 2Error and Error Criteria at Numerical Analysis, Error Propogation.
 Week 3Matrix, Inverse of Square Matrix, Triangular Matrix According to Gauss and Cholesky Method.
 Week 4Matrix, Inverse of Square Matrix, Triangular Matrix According to Gauss and Cholesky Method.
 Week 5Find roots which makes zero of single-variable function.
 Week 6Linear Equation Systems, Find roots which makes zero of equation system.
 Week 7Linear Equation Systems, Find roots which makes zero of equation system.
 Week 8Non-linear Equation Systems and their numerical solutins.
 Week 9Mid-term exam
 Week 10Enterpolation Methods, Lagrange Enterpolation.
 Week 11Formula of Gregory-Newton Enterpolation and Applications.
 Week 12Curve Fitting and Sample applications.
 Week 13Curve Fitting and Sample applications.
 Week 14 Numerical derivative and Sample Solutions.
 Week 15Numerical integral and Sample Solutions.
 Week 16End-of-term exam
 
Textbook / Material
1Dilaver, A. 2007; Müdendislikte Sayısal Çözümleme Algoritmaları (Nümerik Analiz). Ders Notu, Trabzon. (Yayımlanmadı)
 
Recommended Reading
1Karagöz, İ. 2008; Sayısal Analiz ve Mühendislik Uygulamaları, 2. Baskı, Nobel Yayın Dağıtım.
2Sönmez, M. 2008; Sayısal Analiz Ders Notları, Aksaray Üniversitesi, İnşaat Mühendisliği Bölümü.
3Dikmen, Ü. 2008;Sayısal Analiz ve Programlama III, Ders Notları,
 
Method of Assessment
Type of assessmentWeek NoDate

Duration (hours)Weight (%)
Mid-term exam 9 2 30
Homework/Assignment/Term-paper 13 2 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 2 14 28
Sınıf dışı çalışma 3 14 42
Arasınav için hazırlık 15 1 15
Arasınav 2 1 2
Uygulama 1 14 14
Ödev 10 1 10
Dönem sonu sınavı için hazırlık 15 1 15
Dönem sonu sınavı 2 1 2
Total work load128