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About the Programme Academic Staff Program Qualifications Lessons Matrix of Course & Program Qualifications Turkish Qualifications Framework (TQF) TQF & Program Qualifications
  1. Faculty of Education
  2. Department of Mathematics and Science Education
  3. Program in Primary School Mathematics Teaching
  4. Course Structure Diagram with Credits
  5. Introduction to Metric Spaces
  6. Description
  • Description
  • Learning Outcomes
  • ECTS Credit Load
  • Course's Contribution to Program
  • Learning Outcomes & Program Qualifications
Last Updated: 05/03/2026

Code - Course Title Compulsory/Elective Laboratory + Practice ECTS
MAT280 - Introduction to Metric Spaces IV. SEMESTER 2 +0 3.0
Language of Instruction Türkçe
Course Type Area Elective Courses
Course Instructor(s) DR. ÖĞR. ÜYESİ GONCA İNCEOĞLU
Mode of Delivery The mode of delivery of this course is face to face
Place of Delivery
Used Educational Platforms
Prerequisites There is no prerequisite or co-requisite for this course.
Courses Recomended none
Recommended Resources Başkan, T., Bizim, O., ve Cangül İ.N., (2006), Metrik ve Topolojik Uzaylara Giriş, Nobel yayın, Ankara.
Work Placement None
Aims of the Course

Weeks Learning Outcomes Topics Teaching Methods
Week - 1 Set Concept, Finite Sets, Countable Sets,
Week - 2 Relation Concept and its properties; sup and inf concepts
Week - 3 Functions
Week - 4 Metric Spaces: Definition and Basic Properties
Week - 5 Open and closed sets in Metric Spaces
Week - 6 Submetric spaces
Week - 7 Open and closed sets in Submetric Spaces
Week - 8 Neighborhoods and Accumulation Points
Week - 9 Equivalent metrics
Week - 10 Some of the important properties of Euclidean Spaces
Week - 11 Convergence Concept in Metric Spaces
Week - 12 Continuity Concept in Metric Spaces
Week - 13 Complete Metric Spaces.
Week - 14 Complete Metric Spaces.

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Assessment Method and Passing Requirements
Quamtity Percentage (%)
1.Midterm Exam 1 40
Final Exam 1 60
Toplam (%) 100

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