Information Package / Course Catalogue
Mathematical Methods of Physics I
Course Code: MTK573
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 gives the fundamental concepts of generalized functions.

Course Content

Test functions, Generalized functions, Local properties of generalized functions, Translations, rotations and other linear transformations on the independent variables of generalized functions, Regularization of divergent integrals, Convergence of generalized function sequences, Complex test functions and generalized functions, Differentiation and integration of generalized functions, Delta-convergent sequences, Some generalized functions , Canonical regularization.

Name of Lecturer(s)
Prof. İnci EGE
Learning Outcomes
1.To be able to define generalized functions space
2.To be able to define convergence of the generalized functions
3.To be able to acquire some generalized functions
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
Test functions
Week 2 - Theoretical
Generalized functions
Week 3 - Theoretical
Local properties of generalized functions
Week 4 - Theoretical
Translations, rotations andother linear transformations on the independent variables of generalized functions
Week 5 - Theoretical
Regularization of divergent integrals
Week 6 - Theoretical
Convergence of generalized function sequences
Week 7 - Theoretical
Complex test functions and generalized functions
Week 8 - Theoretical
Differentiation and integration of generalized functions
Week 9 - Theoretical
The generalized function r^? (Midterm)
Week 10 - Theoretical
Differentiation and integration of generalized functions
Week 11 - Theoretical
Differentiation and integration of generalized functions
Week 12 - Theoretical
Delta-convergent sequences
Week 13 - Theoretical
The generalized functions x^?, (x+i0)^?, (x-i0)^?
Week 14 - Theoretical
Canonical regularization
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%30
Final Examination1%50
Assignment1%20
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment220346
Midterm Examination150252
Final Examination160262
TOTAL WORKLOAD (hours)202
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
4
3
4
3
4
3
OÇ-2
4
3
3
2
4
3
OÇ-3
4
3
3
2
4
3
OÇ-4
4
3
3
2
1
2
OÇ-5
4
3
3
2
2
2
Adnan Menderes University - Information Package / Course Catalogue
2026