GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
FOURIER ANALYSIS/MAT 4023
Course Title: FOURIER ANALYSIS
Credits 3 ECTS 6
Semester 7 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
   Turkish
 -- NAME OF LECTURER(S)
   Asist.Prof. Kadir Kanat
 -- WEB SITE(S) OF LECTURER(S)
  
 -- EMAIL(S) OF LECTURER(S)
   kadirkanat@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
He/she has basic information about periodic functions and piecewise continuous functions.
He/she learns Fourier series and Complex Fourier series.
He/she can examine the convergence of Fourier series.
He/she can solve problems related with Fourier series of functions of several variables.
He/she makes application of Fourier and inverse Fourier transforms of the functions.
He/she has knowledge about Fourier integrals and applications.
 -- MODE OF DELIVERY
   Bu ders sadece yüz yüze eğitim şeklinde yürütülmektedir. The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  Bu dersle ilişkili önerilen başka dersler bulunmamaktadır.
 --COURSE CONTENT
1. Week  Periodic functions,piecewise continuous functions
2. Week  Periodic functions,piecewise continuous functions
3. Week   Fourier series,Dirichlet conditions,half-range expansions,complex Fourier series
4. Week   Fourier series,Dirichlet conditions,half-range expansions,complex Fourier series
5. Week   Convergence of Fourier series
6. Week   Bessel inequality and Parseval identity
7. Week   Fourier series of functions of several variables
8. Week  Midterm exam
9. Week   Fourier series of functions of several variables
10. Week  Fourier integrals, Fourier transforms
11. Week  Fourier integrals, Fourier transforms
12. Week   Fourier sine and cosine transforms, Parseval identity for Fourier integrals
13. Week   Inverse Fourier transform, convolution
14. Week  Application of Fourier integrals and transforms
15. Week  Application of Fourier integrals and transforms
16. Week  Final exam
 -- RECOMMENDED OR REQUIRED READING
  Fourier Analizi,Abdullah Altın, Gazi Kitabevi
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
   Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
40
 Assignment
0
0
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
40
 Contribution of Final Examination to Overall Grade  
60
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
3
42
 Practising Hours of Course Per Week
0
 Reading
0
 Searching in Internet and Library
5
2
10
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
6
8
48
 Final and Studying for Final
8
5
40
 Other
6
2
12
 TOTAL WORKLOAD: 
152
 TOTAL WORKLOAD / 25: 
6.08
 ECTS: 
6
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To train individuals who are contemporary, entrepreneur and have unique and aesthetic values, self-confidence and capable of independent decision-making.X
2To train individuals who are equipped with enough mathematicsX
3To teach mathematical thinking methods in order to improve the ability to express mathematics both orally and in writing,X
4To train individuals who are knowledgeable about the history of mathematics and the production of scientific knowledge and can follow developments in these disciplines.X
5To provide necessary equipments to take positions such areas as banking, finance, econometrics, and actuarial,X
6To acquire ability to solve problems encountered in real life by means of mathematical modeling using mathematical methods,X
7To provide ability to do necessary resource researches in the areas of mathematics and to use accessed information,X
8To give appropriate training in such areas as in computer programming and creating algorithms in order to take parts in developing IT sector,X
9To gain substructure to be able to study at graduate level.X
10The skill to have professional and ethical responsibilityX