Akademik Dersler - Tanıtım


Code - Course Title	MAT325 - Metric and Topological Spaces I
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	2+2
ECTS	5.0
Course Instructor(s)	PROFESÖR NEDİM DEĞİRMENCİ
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 Abstarct Algebra, Analytic Geometry and Analysis courses.
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	2 midterms, 1 final.
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Prerequisites from real analysis
Week - 2	Metric spaces
Week - 3	Continuity
Week - 4	Topological spaces
Week - 5	Bases
Week - 6	Sub-bases and weak topologies
Week - 7	Product spaces
Week - 8	Quotient spaces
Week - 9	Separation properties
Week - 10	Compact spaces
Week - 11	Compact spaces (cont.)
Week - 12	Continuous functions on compact spaces
Week - 13	Compact subspaces of R^n
Week - 14	Compactness and uniform continuity

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	20
2.Midterm Exam	1	30
Final Exam	1	50
Toplam (%)		100