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 NÜLİFER ÖZDEMİR
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
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