GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
HARMONIC ANALYSIS I/5091305
Course Title: HARMONIC ANALYSIS I
Credits 3 ECTS 7.5
Course Semester 1 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
The student acqires information about the algebra of complex numbers
The student comprehends the difference between complex numbers set and real numbers set
The student can take the derivative of complex functions
The student learns analytic functions
The student learns series expansions of analytic functions
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Complex numbers
2. Week  Komplex planes and topology qualities, stereographic project mapping
3. Week  Complex functions and their characeristics
4. Week  Differentiability and the characteristics of differentiable functions
5. Week  Cauchy-Riemann equalities, analytic functions and their characteristics
6. Week  Power series
7. Week  Integral, Cauchy theorem and applications
8. Week  Integral functions and their characteristics
9. Week  Analytic function series and their display
10. Week  Laurent expansions, singularities and their classifications
11. Week  Residue theorem and their applications, open mapping theorem
12. Week  Conformal mapping and its characteristics
13. Week  Riemann mapping theorem and its applications
14. Week  Maximum module theorem, harmonic functions and their applications
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
30
 Assignment
3
10
 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
 Reading Tasks
10
5
50
 Searching in Internet and Library
10
6
60
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
10
10
 Final Exam and Preperation for Final Exam
1
20
20
 Other (should be emphasized)
2
5
10
 TOTAL WORKLOAD: 
192
 TOTAL WORKLOAD / 25: 
7.68
 Course Credit (ECTS): 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1X
2X
3X
4X
5X
6X
7X
8X
9X
10X
11X
12X
 -- NAME OF LECTURER(S)
   (Prof. Esra Kır Arpat)
 -- WEB SITE(S) OF LECTURER(S)
   (websitem.gazi.edu.tr/site/esrakir)
 -- EMAIL(S) OF LECTURER(S)
   (esrakir@gazi.edu.tr)