GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
FOURIER ANALYSIS/MAT518A
Course Title: FOURIER ANALYSIS
Credits 3 ECTS 5
Semester 10 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof.Dr. Ziya ARGÜN
 -- WEB SITE(S) OF LECTURER(S)
   www.gazi.edu.tr/~ziya
 -- EMAIL(S) OF LECTURER(S)
  ziya@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
They should be able to use series when they investigate functions and solutions of differential equations
They should be able to recognise that some types of periodic functions can be explore with the trigonometric series







 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  All calculus courses should be taken before this course
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
   There is no recommended optional programme component for this course
 --COURSE CONTENT
1. Week  Introduction to the course
2. Week  Trigonometric series and their properties
3. Week  Trigonometric series and their properties
4. Week  Fourier series and their properties
5. Week  Fourier series and their properties
6. Week  The convergency of Fourier series
7. Week  Generalized Fourier series
8. Week  Generalized Fourier series
9. Week  Applications of Fourier series
10. Week  Applications of Fourier series
11. Week  Orthogonal Fourier series and completeness
12. Week  Orthogonal Fourier series and completeness
13. Week  Derivatives and integrals of Fourier series
14. Week  -
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
  Wilfred Kaplan, Advanced Calculus, Addison-Wesley Publishing Company 1991 Fourier Series, Schaum’s Outline Series
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Exploration, Discussion, Brain storm, Demonstration,Concept map, inquiry, problem solving, discovery, diagnostic, computer and internet based,
 -- WORK PLACEMENT(S)
  -
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
25
 Assignment
1
10
 Exercises
1
5
 Projects
1
10
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
50
 Contribution of Final Examination to Overall Grade  
50
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
2
28
 Practising Hours of Course Per Week
14
2
28
 Reading
0
 Searching in Internet and Library
0
 Designing and Applying Materials
14
2
28
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
0
 Final and Studying for Final
1
20
20
 Other
1
20
20
 TOTAL WORKLOAD: 
124
 TOTAL WORKLOAD / 25: 
4.96
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Acquisition of scientific thinking skillsX
2Making research and investigation independentlyX
3Acquisition of carefully observing and analytically thinking skillsX
4Acquisition of learning and teaching mathematics problemsX
5Comprehending, applying and explaining the importance of mathematical conceptsX
6Developing the thinking, producing, argumenting and probing abilitiesX
7Having the algorithm and sotftware writing abilities for solving computer supported problemsX
8Developing the ability of reaching information, evaluating and presenting informationX
9Improving yourself parallel to the developing technologyX
10Understands the disciplinary structure of mathematics, its historical development, related philosophical approaches and problems.X