GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MULTIVARIATE COMPLEX FUNCTIONS I/5191305
Course Title: MULTIVARIATE COMPLEX FUNCTIONS 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
Understanding and applicable the concept of several complex analysis
Learning the properties of analytic function in several variables
Knowing the series of analytic functions and their convergent domains
Understanding the concept of complex manifolds and analytic continuation
Learning the concept and properties of Rings of Holomorphic Functions

 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Recalling from the analytic functions in one variable(analyticity,maximum principle,nulls of analytic functions and singularties)
2. Week  Recalling from the analytic functions in one variable(Cauchy's integral formula,Argument principle, Rouche's Theorem)
3. Week  Holomorphic(Analytic) Functions of Several Variables, Cauchy’s Integral Formula and Power Series Expansions
4. Week  Holomorphic(Analytic) Functions of Several Variables, Hartog’s Theorems,the Cauchy-Riemann Equations
5. Week  Cauchy’s Integral Formula and Power Series ExpansionsHartog’s Theorems,the Cauchy-Riemann Equations
6. Week  Convergence Theorems, Domains of convergence of power series .
7. Week  Convergence Theorems, Domains of convergence of power series
8. Week  Complex analytic manifolds
9. Week  Complex analytic manifolds
10. Week  Analytic Continuation
11. Week  Analytic Continuation
12. Week  Local Rings and Rings of Holomorphic Functions
13. Week  Hilbert’s Theorem and The Weierstrass Theorems
14. Week  Soluations of problems related by subjects
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
25
 Assignment
1
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
0
0
 Reading Tasks
6
15
90
 Searching in Internet and Library
0
0
0
 Material Design and Implementation
0
0
0
 Report Preparing
0
0
0
 Preparing a Presentation
0
0
0
 Presentation
0
0
0
 Midterm Exam and Preperation for Midterm Exam
1
20
20
 Final Exam and Preperation for Final Exam
1
30
30
 Other (should be emphasized)
0
0
0
 TOTAL WORKLOAD: 
182
 TOTAL WORKLOAD / 25: 
7.28
 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. Ahmet Ali Öçal)
 -- WEB SITE(S) OF LECTURER(S)
   (websitem.gazi.edu/site/aliocal)
 -- EMAIL(S) OF LECTURER(S)
   (aliocal@gazi.edu.tr)