Information Package / Course Catalogue
Mathematical Methods of Physics II
Course Code: MTK582
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 give the fundamental concepts of generalized functions.

Course Content

Canonical functions, Taylor’s and Laurent Series of generalized functions , Convolutions of generalized functions, Elementary solutions of differential equations with constant coefficients, Fourier transforms of test functions, Fourier transforms of generalized functions, Several Variable, Fourier transforms and differential equations.

Name of Lecturer(s)
Prof. İnci EGE
Learning Outcomes
1.To be able to acquire Taylor and Laurent series of generalized functions
2.To be able to define Fourier transforms of test functions and generalized functions
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
1.I. M. Gelfand and Shilov, Generalized Functions, Vol. I, Academic Press, 1964.
2.R. Hoskins and J.S. Pinto, Ellis Horward, Chichester, Distributions, Ultradistributions and Other Generalized Functions, 1994.
Weekly Detailed Course Contents
Week 1 - Theoretical
Canonical functions
Week 2 - Theoretical
Taylor’s and Laurent Series for x^?
Week 3 - Theoretical
Taylor’s series for (x+i0)^?, (x-i0)^?
Week 4 - Theoretical
Convolutions of generalized functions
Week 5 - Theoretical
Convolutions of generalized functions
Week 6 - Theoretical
Elementary solutions of differential equations with constant coefficents
Week 7 - Theoretical
Fourier transforms of test functions
Week 8 - Theoretical
Fourier transforms of test functions
Week 9 - Theoretical
Fourier transforms of generalized functions (A single Variable) (Midterm)
Week 10 - Theoretical
Fourier transforms of generalized functions (A single Variable)
Week 11 - Theoretical
Fourier transforms of generalized functions (A single Variable)
Week 12 - Theoretical
Fourier transforms of generalized functions (Several Variable)
Week 13 - Theoretical
Fourier transforms of generalized functions (Several Variable)
Week 14 - Theoretical
Fourier transforms and differential equations
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%30
Final Examination1%50
Assignment1%20
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment220244
Midterm Examination150252
Final Examination160262
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
2
2
3
4
3
2
OÇ-2
2
2
3
3
2
2
OÇ-3
2
2
3
3
2
2
OÇ-4
2
2
3
3
2
2
OÇ-5
2
2
3
3
2
2
Adnan Menderes University - Information Package / Course Catalogue
2026