Information Package / Course Catalogue
Function Theory of Real Variable
Course Code: MTK601
Course Type: Area Elective
Couse Group: Third Cycle (Doctorate Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

To acquaint students with the fundamental notions of function theory of real variable including measures, construction of measures, measure and topology,continuous linear functionals, duality, bounded operators, Banach algebras, Hilbert spaces, integral representations, unbounded operators.

Course Content

Measures, construction of measures, measure and topology,continuous linear functionals, duality, bounded operators, Banach algebras, Hilbert spaces, integral representations, unbounded operators.

Name of Lecturer(s)
Learning Outcomes
1.Ability to improve the advance concept of functions theory of real variable
2.Ability to improve mathematical sense
3.Ability to improve the capacity of posing and solving problems
4.To be able to gain the skill of interpreting some interrelations among these concepts
5.To be able to use mathematical concepts in solving certain types of problems
Recommended or Required Reading
Weekly Detailed Course Contents
Week 1 - Theoretical
Measures
Week 2 - Theoretical
Measures
Week 3 - Theoretical
Construction of measures
Week 4 - Theoretical
Measure and topology
Week 5 - Theoretical
Continuous linear functionals
Week 6 - Theoretical
Duality
Week 7 - Theoretical
Bounded operators
Week 8 - Theoretical
Banach algebras (Midterm)
Week 9 - Theoretical
Hilbert spaces
Week 10 - Theoretical
Hilbert spaces
Week 11 - Theoretical
Integral representations
Week 12 - Theoretical
Integral representations
Week 13 - Theoretical
Unbounded operators
Week 14 - Theoretical
Unbounded operators
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%5
Term Assignment1%5
Midterm Examination1%20
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment1066
Term Project1066
Individual Work140570
Midterm Examination130232
Final Examination142244
TOTAL WORKLOAD (hours)200
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
5
4
4
OÇ-2
5
4
4
OÇ-3
5
4
4
OÇ-4
4
4
4
4
4
OÇ-5
4
4
4
4
4
Adnan Menderes University - Information Package / Course Catalogue
2026