Information Package / Course Catalogue
Function Theory of One Complex Variable
Course Code: MTK602
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 one complex variable including fundamental concepts, complex line integrals, applications of Cauchy integral, meromorphic functions and residues, the zeros of holomorphic function, holomorphic functions as geometric mappings, harmonic functions, infinite series and product, applications of infinite sums and products, analytic continuation, rational approximation theory, special classes of holomorphic functions, special functions.

Course Content

Complex line integrals, applications of Cauchy integral, meromorphic functions and residues, the zeros of holomorphic function, holomorphic functions as geometric mappings, harmonic functions, infinite series and product, applications of infinite sums and products, analytic continuation, rational approximation theory, special classes of holomorphic functions, special functions.

Name of Lecturer(s)
Learning Outcomes
1.Ability to improve the advance concept of theory of complex functions
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
Complex line integrals
Week 2 - Theoretical
Applications of Cauchy integral
Week 3 - Theoretical
Meromorphic functions and residues
Week 4 - Theoretical
The zeros of holomorphic function
Week 5 - Theoretical
Holomorphic functions as geometric mappings
Week 6 - Theoretical
Harmonic functions
Week 7 - Theoretical
Infinite series and product
Week 8 - Theoretical
Applications of infinite sums and products (Midterm)
Week 9 - Theoretical
Rational approximation theory
Week 10 - Theoretical
Rational approximation theory
Week 11 - Theoretical
Special classes of holomorphic functions
Week 12 - Theoretical
Special classes of holomorphic functions
Week 13 - Theoretical
Special functions
Week 14 - Theoretical
Special functions
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