Information Package / Course Catalogue
Tauberian Theory and Its Applications
Course Code: MTK618
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

This course aims to acquaint students with the fundamental notions of Tauberian theory including the convergence and divergence, matrix methods, special summability methods, Tauberian theorems.

Course Content

Convergence and divergence, matrix methods: basic classical theory, special summability methods, Tauberian theorems, application of matrix methods.

Name of Lecturer(s)
Learning Outcomes
1.Ability to comprehend the concepts of convergence and divergence
2.Ability to understand the matrix methods
3.Ability to comprehend the special summability methods
4.Ability to comprehend Tauberian theorems
5.To be able to use mathematical concepts in solving certain types of problems
Recommended or Required Reading
1.Classical and Modern Methods in Summability, Boos, J.
Weekly Detailed Course Contents
Week 1 - Theoretical
Convergence and divergence
Week 2 - Theoretical
Convergence and divergence
Week 3 - Theoretical
Matrix methods: basic classical theory
Week 4 - Theoretical
Matrix methods: basic classical theory
Week 5 - Theoretical
Matrix methods: basic classical theory
Week 6 - Theoretical
Special summability methods
Week 7 - Theoretical
Special summability methods
Week 8 - Theoretical
Special summability methods
Week 9 - Theoretical
Tauberian theorems
Week 10 - Theoretical
Tauberian theorems
Week 11 - Theoretical
Tauberian theorems
Week 12 - Theoretical
Application of matrix methods
Week 13 - Theoretical
Application of matrix methods
Week 14 - Theoretical
Application of matrix methods
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
4
5
4
3
2
OÇ-2
4
5
4
3
2
OÇ-3
4
5
4
3
2
OÇ-4
4
4
4
4
4
OÇ-5
4
4
4
4
4
Adnan Menderes University - Information Package / Course Catalogue
2026