GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
ADVANCED COMPLEX ANALYSIS I/6421305
Course Title: ADVANCED COMPLEX 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
Achieving adequateness in fundamental subjects in complex analysis
Learning sequences and series of analytic functions
Knowing the concept of Rouche therem, argument prenciple and their applications
learning the properties and the concept of conformal and univalent functions
Learning the properties of transformation of complex elemanter functions and applicable to conformal mappings
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Complex integration, power series,
2. Week  Residues, evaluation of real integrals,
3. Week  Residues, evaluation of real integrals,
4. Week  Number of zeros and poles, the argument principle
5. Week  Number of zeros of analytic functions,Rouche’s theorem and its applications
6. Week  Sequences of analytic functions, properties of convergence
7. Week  Seriess of analytic functions, properties of convergence
8. Week  Harmonic functions, comparision with analytic functions, important theorems
9. Week  Harmonic functions, comparision with analytic functions, Poisson’s integral formula, positive harmonic functions.
10. Week  Conformal mappings, univalent functions,Rieman mapping theorem
11. Week  Conformal mappings, univalent functions,Rieman mapping theorem,,
12. Week  Properties of mappings by elemantary functions
13. Week  Properties of mappings by elemantary functions
14. Week  Problem solutions
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
20
 Assignment
3
20
 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
14
3
42
 Searching in Internet and Library
14
3
42
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
15
15
 Final Exam and Preperation for Final Exam
1
20
20
 Other (should be emphasized)
5
3
15
 TOTAL WORKLOAD: 
176
 TOTAL WORKLOAD / 25: 
7.04
 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.Dr. NURHAYAT İSPİR)
 -- WEB SITE(S) OF LECTURER(S)
   (websitem.gazi.edu.tr/site/nispir)
 -- EMAIL(S) OF LECTURER(S)
   (nispir@gazi.edu.tr)