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GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of MATHEMATICS
Doctorate
Course Catalog
http://www.fbe.ktu.edu.tr/
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FBE
GRADUATE INSTITUTE of NATURAL and APPLIED SCIENCES / DEPARTMENT of MATHEMATICS / Doctorate
Katalog Ana Sayfa
  Katalog Ana Sayfa  KTÜ Ana Sayfa   Katalog Ana Sayfa
 
 

MAT7260Euclidean Geometry3+0+0ECTS:7.5
Year / SemesterSpring Semester
Level of CourseThird Cycle
Status Elective
DepartmentDEPARTMENT of MATHEMATICS
Prerequisites and co-requisitesNone
Mode of Delivery
Contact Hours14 weeks - 3 hours of lectures per week
LecturerProf. Dr. İdris ÖREN
Co-LecturerNone
Language of instructionTurkish
Professional practise ( internship ) None
 
The aim of the course:
to investigate some fundamental features of Euclidean geometry, to examine the invariants of this geometry by using the invariant theory methods.
 
Programme OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
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
The Euclidean Space, Isometries, Translations, Orthogonal Transformations, Everey Isometry is a Union of an Orthogonal Transformation and a Translation, Invariants of a Systemof Points, The Complete System of Invariants, Similarities, Invariants of Points with Respect to the Group of Similarities.
 
Textbook / Material
 
Recommended Reading
 
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Student Work Load and its Distribution
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