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About the Programme Academic Staff Program Qualifications Lessons Matrix of Course & Program Qualifications Turkish Qualifications Framework (TQF) TQF & Program Qualifications
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  3. Metric and Topological Spaces II
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Last Updated: 27/06/2013

Code - Course Title Course Type Laboratory + Practice ECTS
MAT326 - Metric and Topological Spaces II VI. SEMESTER 2 +2 5.0
Language of Instruction Türkçe
Course Type Required Courses
Course Instructor(s) PROF. DR. SADETTİN ERDEM, PROF. DR. NEDİM DEĞİRMENCİ
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Aims of the Course

Weeks Learning Outcomes Topics Teaching Methods
Week - 1 Countability properties; First and second countability
Week - 2 Separation axioms; T1 and T2 spaces
Week - 3 Go on separation axioms; Regular, completely regular
Week - 4 Solving some problems related with separation axioms
Week - 5 Convergence in topological spaces; Sequence convergence
Week - 6 Nets and filters
Week - 7 Convergence of Nets and filters
Week - 8 Solving some problems of convergence
Week - 9 Connected spaces; Disconnected spaces
Week - 10 To contınue connectedness
Week - 11 Path-connectedness
Week - 12 Solving some problems connectedness
Week - 13 Complete metric spaces; Contractive map; The Banach fixed point theorem
Week - 14 The Bair theorem

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Assessment Method and Passing Requirements
Quamtity Percentage (%)
1.Midterm Exam 1 20
Final Exam 1 55
2.Midterm Exam 1 25
Toplam (%) 100

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