GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
COMPLEX ANALYSIS II/MAT4010
Course Title: COMPLEX ANALYSIS II
Credits 3 ECTS 5
Course Semester 8 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
Analyses complex series,
Calculates residue,
Calculates the complex integrals by using Residue theorem,
Categorizes the singular points,
Calculates some improper integrals with complex methods, Calculates of improper integrals and definite integrals involving sines and cosines functio
Interprets Argument Principle and Rouche Theorem.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Convergence of Complex Series
2. Week  Complex Taylor and Maclaurin Series
3. Week  Laurent Series
4. Week  Absolute and Uniform Convergence of Complex Series
5. Week  Integration and Differentiation of Power Series
6. Week  Calculation of Residue
7. Week  Cauchy Residue Theorem
8. Week  Cauchy Residue Theorem Mid-Term Exam
9. Week  Isolated singularities and their classification
10. Week  Residues at Poles
11. Week  Zeros and Poles
12. Week  Calculation of Some Improper integrals by using complex methods
13. Week  Calculation of Improper integrals involving sines and cosines functions and definite integrals involving sines and cosines with complex methods
14. Week  The Argument Principle
15. Week  Rouche Theorem
16. Week  Final
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
0
0
 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
5
4
20
 Searching in Internet and Library
6
5
30
 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
14
14
 Final Exam and Preperation for Final Exam
1
28
28
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
134
 TOTAL WORKLOAD / 25: 
5.36
 Course Credit (ECTS): 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To train individuals who are contemporary, entrepreneur and have unique and aesthetic values, self-confidence and capable of independent decision-making.X
2To give good education in the program fields as algebra, geometry, applied mathematics, topology and analysis in order to be equipped with enough mathematics.X
3To teach mathematical thinking methods in order to improve the ability to express mathematics both orally and in writing.X
4To train individuals who are knowledgeable about the history of mathematics and the production of scientific knowledge and can follow developments in these disciplines.X
5To provide necessary equipments to take positions such areas as banking, finance, econometrics, and actuarial.X
6To acquire ability to solve problems encountered in real life by means of mathematical modeling using mathematical methods.X
7To provide ability to do necessary resource researches in the areas of mathematics and to use accessed information.X
8To give appropriate training in such areas as in computer programming and creating algorithms in order to take parts in developing IT sector.X
9To gain substructure to be able to study at graduate level.X
10To enable the student to gain the ability of relating mathematics with the other sciences.X
 -- NAME OF LECTURER(S)
   (Prof. H. Gül İNCE İLARSLAN)
 -- WEB SITE(S) OF LECTURER(S)
   (websitem.gazi.edu.tr/site/ince)
 -- EMAIL(S) OF LECTURER(S)
   (ince@gazi.edu.tr)