GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
HARMONIC ANALYSIS II/5721305
Course Title: HARMONIC ANALYSIS II
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
Student acquires information about Meöbius mapping
The student learns linear and projective groups
Student learns PGL(2, C) generatrixes
Student becomes familiar with geometric structu of Mebius mappings
Student becomes acquinted with certain concepts like comformity
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Riemann sphere
2. Week  Rational functions
3. Week  Möbius mappings
4. Week  Linear and projective groups
5. Week  Generatrixes of PGL(2, C), transitivity and cross rate
6. Week  Geometric Classification of Möbius mappings
7. Week  Comformity, spherical triangle and its field
8. Week  Eliptic functions and their characteristics
9. Week  Topological groups, uniform and normal converence
10. Week  Generate of eliptic functions
11. Week  Generate of eliptic functions
12. Week  Analytic and meromorphic continuity
13. Week  Riemann planes, smooth and singular points, PSL(2, R) and disjoint subgroups
14. Week  Hyperbolic geometry and its characteristics, modular group and its characteristics
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
12
12
 Final Exam and Preperation for Final Exam
1
20
20
 Other (should be emphasized)
2
5
10
 TOTAL WORKLOAD: 
194
 TOTAL WORKLOAD / 25: 
7.76
 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)