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 DOKTOR 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.
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 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