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About the Programme Academic Staff Program Qualifications Lessons Matrix of Course & Program Qualifications Turkish Qualifications Framework (TQF) TQF & Program Qualifications
  2. Course Structure Diagram with Credits
  3. Differential Geometry I
  4. Description
  • Description
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  • ECTS Credit Load
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  • Learning Outcomes & Program Qualifications
Last Updated: 27/06/2013

Code - Course Title Compulsory/Elective Laboratory + Practice ECTS
MAT313 - Differential Geometry I V. SEMESTER 3 +0 5.0
Language of Instruction Türkçe
Course Type Area Elective Courses
Course Instructor(s) PROF. DR. MURAT LİMONCU
Mode of Delivery The mode of delivery of this course is Face to face
Place of Delivery
Used Educational Platforms
Prerequisites There is no prerequisite or co-requisite for this course.
Courses Recomended Linear Algebra I, II
Recommended Resources Sabuncuoğlu, A. (2001) Diferensiyel Geometri. Nobel Yayın Dağıtım Lim. Şti.
Work Placement N/A
Aims of the Course

Weeks Learning Outcomes Topics Teaching Methods
Week - 1 Euclidian space, Tangent vectors
Week - 2 Vector fields, Directional derivative
Week - 3 Directional derivative, Curves
Week - 4 1-forms
Week - 5 Curves, 1-forms
Week - 6 1-forms
Week - 7 properties of maps
Week - 8 curves again
Week - 9 Frenet-Serret Formulas
Week - 10 derivation and examples of derivations
Week - 11 Arbitrarly parametrised curves
Week - 12 Covariant derivative
Week - 13 Frame fields
Week - 14 Cartan Structure equations on 3-dimension

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Assessment Method and Passing Requirements
Quamtity Percentage (%)
1.Midterm Exam 1 20
Final Exam 1 50
2.Midterm Exam 1 30
Toplam (%) 100

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