Information Package / Course Catalogue
Fourier Analysis
Course Code: MTK536
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 acquaint students with the fundamental notions of Fourier Analysis including trigonometric sums, integrability of trigonometric sums, convergence and Cesaro summability of Fourier series, convergence and summability of trigonometric series, multiple Fourier series, Fourier transform and applications, orthogonal systems, bessel functions

Course Content

Trigonometric sums, integrability of trigonometric sums, convergence and Cesaro summability of Fourier series, convergence and summability of trigonometric series, multiple Fourier series, Fourier transform and applications, orthogonal systems, bessel functions

Name of Lecturer(s)
Learning Outcomes
1.To be able to comprehend the basic concept of Fourier analysis.
2.To be able to develop mathematical sense
3.To be able to develop the capacity of posing and solving problems.…
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.Theory and Applications of Fourier Series, C. S. Rees, S. M. Shah and C. V. Stanojevic.
Weekly Detailed Course Contents
Week 1 - Theoretical
Trigonometric sums
Week 2 - Theoretical
Integrability of trigonometric sums
Week 3 - Theoretical
Convergence and Cesaro summability of Fourier series
Week 4 - Theoretical
Convergence and summability of trigonometric series
Week 5 - Theoretical
Convergence and summability of trigonometric series
Week 6 - Theoretical
Multiple Fourier series
Week 7 - Theoretical
Multiple Fourier series
Week 8 - Theoretical
Fourier transform and applications
Week 9 - Theoretical
Fourier transform and applications (Midterm)
Week 10 - Theoretical
Fourier transform and applications
Week 11 - Theoretical
Orthogonal systems
Week 12 - Theoretical
Orthogonal systems
Week 13 - Theoretical
Orthogonal systems
Week 14 - Theoretical
Bessel functions
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%20
Midterm Examination1%30
Final Examination1%50
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment220448
Midterm Examination150252
Final Examination160262
TOTAL WORKLOAD (hours)204
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
5
4
4
OÇ-2
5
4
4
2
OÇ-3
5
4
4
2
OÇ-4
4
4
4
3
OÇ-5
4
4
4
3
Adnan Menderes University - Information Package / Course Catalogue
2026