Akademik Dersler - Tanıtım


Code - Course Title	MAT503 - Topology
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	7.5
Course Instructor(s)	PROFESÖR DOKTOR MUSTAFA SALTAN
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	It is suggested to take Metric and Topological Spaces, and Analysis courses.
Required or Recommended Resources	Metric Spaces, Satish Shirali, Harkrishan Vasudeva, Springer, (2006).Metrik ve Topolojik Uzaylara Giriş, Sutherland, W.A. (Çeviri) Anadolu Üniv. Yayınları, (1997).Introduction to Metric and Toplogical Spaces, Sutherland,W.A. (1997).Metric Spaces, Micheal Searchoid, Springer, (2007).
Recommended Reading List	Metric Spaces, Satish Shirali, Harkrishan Vasudeva, Springer, (2006).Metrik ve Topolojik Uzaylara Giriş, Sutherland, W.A. (Çeviri) Anadolu Üniv. Yayınları, (1997).Introduction to Metric and Toplogical Spaces, Sutherland,W.A. (1997).Metric Spaces, Micheal Searchoid, Springer, (2007).
Assessment methods and criteria	1 Midterm Exam, 1 Final Exam
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Metric Spaces
Week - 2	Open and closed sets in metric spaces
Week - 3	Continuous functions in metric spaces
Week - 4	Sequences in metric spaces
Week - 5	Complete metric spaces and contractions
Week - 6	Compact metric spaces
Week - 7	Topological spaces
Week - 8	Continuity in topological spaces and Homeomorphisms
Week - 9	Basis and subbasis
Week - 10	Product spaces
Week - 11	Separation Axioms
Week - 12	Quotient spaces,
Week - 13	Compact topological spaces
Week - 14	Connected and path connected topolgical spaces.

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