Information Package / Course Catalogue
Special Fuctions
Course Code: MTK614
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

The aim of this course is to introduce special functions of mathematics.

Course Content

The general approach to finding a solution to a differential equation (or a set of differential equations) is to begin the solution at the value of the independent variable for which the solution is equal to the initial values. One then proceeds in a step by step manner to change the independent variable and move across the required range.

Name of Lecturer(s)
Learning Outcomes
1.To learn some Special Fuctions
2.To gain knowledge about Special Fuctions integral transforms and Fourier Series.
3.To be able to define some mathematical concepts which are essential in his/her field
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
Series solutions of ordinary differential equations
Week 2 - Theoretical
Intergral Functions: Gamma function
Week 3 - Theoretical
Beta function, Error function
Week 4 - Theoretical
Exponential integrals, Elliptic integrals
Week 5 - Theoretical
Special functions: Bessel function
Week 6 - Theoretical
Legendre, Hermite, Laguerre
Week 7 - Theoretical
Chebyshev, Gegenbauer
Week 8 - Theoretical
Jacobi polinomials, Midterm Exam
Week 9 - Theoretical
Jacobi polinomials
Week 10 - Theoretical
Hipergeometric functions
Week 11 - Theoretical
Integral transforms
Week 12 - Theoretical
Laplace, Mellin, Hankel
Week 13 - Theoretical
Fourier Transforms, z-transforms
Week 14 - Theoretical
Fourier Transforms, z-transforms
Week 15 - Final Exam
Final exam
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
3
3
3
3
3
4
OÇ-2
4
4
4
4
4
4
4
OÇ-3
4
4
4
4
4
OÇ-4
4
4
4
4
4
OÇ-5
4
4
4
4
4
Adnan Menderes University - Information Package / Course Catalogue
2026