Information Package / Course Catalogue
Functional Analysis
Course Code: MTK544
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

This course aims to acquaint students with the fundamental notions of Functional Analysis including normed linear spaces, linear maps, Hilbert spaces, the Hahn Banach theorem, weak topolojies, separable spaces, fixed point theorems

Course Content

Normed linear spaces, linear maps, inner product spaces, Hilbert spaces, the Hahn Banach theorem, weak topolojies, separable spaces

Name of Lecturer(s)
Learning Outcomes
1.To be able to comprehend Normed spaces
2.To be able to comprehend Banach spaces
3.To be able to comprehend İnner product spaces
4.To be able to comprehend Hilbert spaces
5.To be able to use mathematical concepts in solving certain types of problems
Recommended or Required Reading
1.Elements of Functional Analysis, I. J. Maddox
2.Introductory Functional Analysis with Applications, Kreyszig
Weekly Detailed Course Contents
Week 1 - Theoretical
Normed linear spaces
Week 2 - Theoretical
Normed linear spaces
Week 3 - Theoretical
Linear maps
Week 4 - Theoretical
Linear maps
Week 5 - Theoretical
Inner Product Spaces
Week 6 - Theoretical
Hilbert spaces
Week 7 - Theoretical
Hilbert spaces
Week 8 - Theoretical
Hahn Banach theorem
Week 9 - Theoretical
Hahn Banach theorem (Midterm)
Week 10 - Theoretical
some applications of Hahn Banach theorem
Week 11 - Theoretical
Weak topolojies
Week 12 - Theoretical
Weak topolojies
Week 13 - Theoretical
Separable spaces
Week 14 - Theoretical
Separable spaces
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%20
Midterm Examination1%30
Final Examination1%50
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment220346
Midterm Examination150252
Final Examination160262
TOTAL WORKLOAD (hours)202
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
OÇ-1
4
5
4
3
OÇ-2
4
5
4
3
OÇ-3
4
5
4
3
OÇ-4
4
5
4
3
OÇ-5
4
5
4
3
Adnan Menderes University - Information Package / Course Catalogue
2026