Akademik Dersler - Tanıtım


Code - Course Title	MAT313 - Differential Geometry I
Course Type	Area Elective Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	5.0
Course Instructor(s)	PROFESÖR DOKTOR MURAT LİMONCU
Mode of Delivery	The mode of delivery of this course is Face to face
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	Linear Algebra I, II
Required or Recommended Resources	Sabuncuoğlu, A. (2001) Diferensiyel Geometri. Nobel Yayın Dağıtım Lim. Şti.
Recommended Reading List	Sabuncuoğlu, A. (2001) Diferensiyel Geometri. Nobel Yayın Dağıtım Lim. Şti.
Assessment methods and criteria	2 midterm exams and final exam (written exam).
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
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

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
Toplam (%)		0