GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
ADVANCED COMPLEX ANALYSIS II/6491305
Course Title: ADVANCED COMPLEX 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
Achieving adequateness in fundamental subjects in complex analysis
Learnig the properties of the rings of analytic functions and Banach algebras
Knowing the isomorphism theorems in Banach algebras
Learning entire functions and fields of meromorphic funcitons and infinite products,
Knowing the concept of analytic continuation
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  properties of zeros of analytic functions
2. Week  Rings of analytic functions and Banach algebra
3. Week  Rings of analytic functions and Banach algebra
4. Week  Bers isomorphism theorems
5. Week  Entire funcitons,
6. Week  fields of meromorphic funcitons,
7. Week  Entire and meromorphic funcitons,Lagrange expansions
8. Week  Entire and meromorphic funcitons,Lagrange expansions
9. Week  infinite products, Weierstrass products, Mittag-Leffler Theorem
10. Week  infinite products, Weierstrass products, Mittag-Leffler Theorem
11. Week  Analytic continuation
12. Week  Analytic continuation
13. Week  Gamma, Beta and Zeta functions
14. Week  Feedback
15. Week  
16. Week  Final Exam
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
25
 Assignment
3
15
 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
10
2
20
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
10
3
30
 Final Exam and Preperation for Final Exam
10
3
30
 Other (should be emphasized)
5
3
15
 TOTAL WORKLOAD: 
179
 TOTAL WORKLOAD / 25: 
7.16
 Course Credit (ECTS): 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To be able to develop their knowledge of theory and applications at master degree depending on the competencies acquired in undergraduate level.X
2To be able to recognize different problems encountered in mathematics and to be able to make studies for their solutions.X
3To be able to formulate new solutions with scientific methods mostly based on analysis and synthesis.X
4To be able to carry out his/her works either independently or in groups within a project considering his/her knowledge on the field he/she works in a critical approach.X
5To be able to continue his/her works considering social, scientific and ethical values.X
6To be able to follow scientific and social developments related to his/her field.X
7To be able to carry out his/her works within the framework of quality management, workplace safety and environmental awareness and to be able to present systematically his/her works using various methods like written, oral or visual.X
8To be able to use methods of accessing knowledge effectively in accordance with ethical values.X
9To be able to use knowledge in other disciplines by combining it with mathematical information.X
10To be able to make activities in the awareness of need for lifelong learning.X
11To be able to make connections between mathematical and social concepts and produce solutions with scientific methods.X
12To be able to use his/her mathematical knowledge in technology.X
 -- 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)