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About the Programme Academic Staff Program Qualifications Lessons Matrix of Course & Program Qualifications Turkish Qualifications Framework (TQF) TQF & Program Qualifications
  2. Course Structure Diagram with Credits
  3. Functional Analysis I
  4. Description
  • Description
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  • ECTS Credit Load
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  • Learning Outcomes & Program Qualifications
Last Updated: 27/03/2015

Code - Course Title Course Type Laboratory + Practice ECTS
MAT405 - Functional Analysis I VII. SEMESTER 3 +0 5.0
Language of Instruction Türkçe
Course Type Required Courses
Course Instructor(s) PROF. DR. YALÇIN KÜÇÜK
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 Abstract Mathematics 1,2, Analysis 3,4, Topology 1,2
Recommended Resources Bayraktar, M. (2006) Fonksiyonel Analiz, Gazi Yayınevi Kreyzing, E (1989) Introductory Functional Analysis with Applications. J.WILEY & SONS Bryan P. and Martin A Youngson (2000) Linear Functional Analysis,Springer Yüksel Soykan, Functional Analysis
Work Placement N/A
Aims of the Course

Weeks Learning Outcomes Topics Teaching Methods
Week - 1 Metric spaces, sequences and Cauchy sequences
Week - 2 Completeness
Week - 3 Seperability, Homeomorphisms
Week - 4 Isometries
Week - 5 Connected sets
Week - 6 Normed spaces, definition of the norm
Week - 7 Equivalent norms and metrics which are obtained by norms
Week - 8 Examples of normed spaces
Week - 9 Banach spaces
Week - 10 The seriesin normed spaces
Week - 11 Bounded linear functions
Week - 12 Linear Homeomorphisms
Week - 13 Linear isometries
Week - 14 Finite-dimensional normed spaces

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

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