Akademik Dersler - Tanıtım


Code - Course Title	MAT314 - Differential Geometry II
Course Type	Area Elective Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	5.0
Course Instructor(s)	PROFESÖR ALİ DENİZ
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	Analysis I, II and Linear Algebra I,II.
Recommended Reading List	Sabuncuoğlu, A. (2001) Diferensiyel Geometri. Nobel Yayın Dağıtım Lim. Şti.
Assessment methods and criteria	2 Mid terms, Final (written exam)
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Euclidean Geometry: Isometries in 3-spaces
Week - 2	The derivative map of an isometry
Week - 3	Orientation, congruence of curves
Week - 4	Surfaces in 3-spaces
Week - 5	patch computations
Week - 6	examples of patch computation
Week - 7	Differentiable functions and tangent vectors
Week - 8	Diferential forms on surfaces
Week - 9	Mapping of surfaces
Week - 10	example of mapping of surfaces
Week - 11	Integrations of forms
Week - 12	examples of integrations of forms
Week - 13	Topological properties of surfaces
Week - 14	Manifolds

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