Information Package / Course Catalogue
Complex Analysis I
Course Code: MAT301
Course Type: Required
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 2
Prt.: 2
Credit: 3
Lab: 0
ECTS: 6
Objectives of the Course

The aim of the course is to give some basic concepts of the complex numbers, complex functions and their properties.

Course Content

Complex numbers and their properties. Complex functions. Limit, continuous and derivative in complex functions. Analytic functions. Cauchy Riemann equations. Harmonic functions. Elementary functions and their properties. Conform transformations of elementary functions

Name of Lecturer(s)
Lec. Muhammet Ali OKUR
Learning Outcomes
1.Ability to understand the basic structure of complex analysis
2.Ability to understand the connection between complex function theory and real variable function theory
3.Ability to generalize prior knowledge to complex functions
4.To able to comprehend limit, continuity and derivative of complex functions
5.To be able to understand the concept of analytic of complex functions
Recommended or Required Reading
1.Zill D. G. ve Shanahan P. D., “Kompleks Analiz ve Uygulamaları”, Nobel Akademik Yayıncılık 2013
2.Brown, J. W., Churchill, R. V., “Complex Variables and Applications”, 7th ed. McGraw Hill 2003
3.Spiegel, M. R., “Complex Variables”, SE, Schaum’s Outline Series
4.Başkan T., “Kompleks Fonksiyonlar Teorisi”, Dora Yayıncılık 2012
Weekly Detailed Course Contents
Week 1 - Theoretical & Practice
Complex numbers and their properties
Week 2 - Theoretical & Practice
Polar form of complex numbers, powers and roots of complex numbers
Week 3 - Theoretical & Practice
Complex functions, Complex exponential function and its properties
Week 4 - Theoretical & Practice
Complex logarithms, complex roots
Week 5 - Theoretical & Practice
Complex trigonometric and inverse trigonometric functions and their properties
Week 6 - Theoretical & Practice
Complex hyperbolic and inverse hyperbolic functions and their properties
Week 7 - Theoretical & Practice
Limit of a complex function
Week 8 - Theoretical & Practice
Continuity (Midterm exam)
Week 9 - Theoretical & Practice
Continuity
Week 10 - Theoretical & Practice
Derivative of a complex function
Week 11 - Theoretical & Practice
Sufficient conditions for derivative and Polar Coordinates
Week 12 - Theoretical & Practice
Analytic functions, Cauchy Riemann equations
Week 13 - Theoretical & Practice
Analytic functions, Cauchy Riemann equations
Week 14 - Theoretical & Practice
Harmonic functions
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory141242
Lecture - Practice141242
Individual Work140228
Midterm Examination115217
Final Examination120222
TOTAL WORKLOAD (hours)151
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
PÇ-16
PÇ-17
PÇ-18
OÇ-1
4
4
3
2
OÇ-2
4
4
3
2
OÇ-3
4
4
2
2
OÇ-4
4
4
2
2
OÇ-5
4
3
2
2
Adnan Menderes University - Information Package / Course Catalogue
2026