Course Information

Course Name	Turkish	Topolojiye Giriş
	English	Introduction to Topology
Course Code	MAT 355	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	2	3	3	-	-
Course Language		Turkish
Course Coordinator		Ayşe Hümeyra Bilge Ayşe Hümeyra Bilge
Course Objectives		Teaching basic concepts of metric spaces and abstract topological spaces to students in mathematics Engineering.
Course Description		Metric spaces. Topological spaces. Neighborhood and some concepts of topology. First and second countable spaces. Continuous functions. Limit, interior and boundary points. The notion of convergence. Separation axioms. T_0 , T_1 and Hausdorff spaces. Normal spaces. Urysohn’s and Tietze’s theorems. Product and quotient spaces. Compact spaces. Topological group. Theorems of metrization.
Course Outcomes		Learning the concepts of open neighborhoods, continuity, convergence, compactness and connectedness in R^n, in metric spaces and in arbitrary topological spaces.
Pre-requisite(s)		MAT112 MIN DD veya MAT112E MIN DD veya MAT101 MIN DD veya MAT101E MIN DD veya MAT103 MIN DD veya MAT103E MIN DD
Required Facilities
Other
Textbook		Elementary Topology, M.C. Geminignani Mathematical Analysis, T.M. Apostol
Other References