GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
FOURİER ANALYSIS/MAT3018
Course Title: FOURİER ANALYSIS
Credits 3 ECTS 3
Course Semester 6 Type of The Course Elective
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
Gets basic the informations about periodic functions and continuous functions
Examine the convergence of Fourier series
Solve problems related to Fourier series of multivariable functions.
Have knowledge about Fourier integrals and their applications.
To apply Fourier and Reverse Fourier transforms of functions
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Periodic functions, piecese-continuous functions
2. Week  Fourier series, Dirichlet conditions, half-range expansions, complex Fourier series
3. Week  Convergence of Fourier series, Bessel inequality and Parseval identity
4. Week  Processes on Fourier Series
5. Week  Derivation and integration of Fourier series
6. Week  Fourier series of multivariable functions
7. Week  Fourier series of multivariable functions
8. Week  Midterm exam
9. Week  Fourier integrals
10. Week  Fourier sine and cosine integral, Complex Fourier Integral
11. Week  Fourier Transformations
12. Week  Fourier sine and cosine transformations, Parseval identity for Fourier integrals
13. Week  Inverse Fourier transforms, convolution
14. Week  Fourier integrals and theirs' applications
15. Week  Fourier integrals and theirs' applications
16. Week  Final exam
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
0
0
0
 Reading Tasks
0
0
0
 Searching in Internet and Library
2
3
6
 Material Design and Implementation
0
0
0
 Report Preparing
0
0
0
 Preparing a Presentation
0
0
0
 Presentation
0
0
0
 Midterm Exam and Preperation for Midterm Exam
1
12
12
 Final Exam and Preperation for Final Exam
1
15
15
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
75
 TOTAL WORKLOAD / 25: 
3
 Course Credit (ECTS): 
3
 -- 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 give good education in the program fields as algebra, geometry, applied mathematics, topology and analysis in order to be equipped with enough mathematics.X
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
10To enable the student to gain the ability of relating mathematics with the other sciences.X
 -- NAME OF LECTURER(S)
   (Assoc. Prof. Bayram Çekim , Assoc. Prof. Gürhan İçöz)
 -- WEB SITE(S) OF LECTURER(S)
   (http://www.websitem.gazi.edu.tr/site/bayramcekim , http://www.websitem.gazi.edu.tr/site/gurhanicoz)
 -- EMAIL(S) OF LECTURER(S)
   (bayramcekim@gazi.edu.tr , gurhanicoz@gazi.edu.tr)