GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
COMPLEX VARIABLE/MAT501 A
Course Title: COMPLEX VARIABLE
Credits 3 ECTS 9
Semester 9 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof. Dr. Ziya ARGÜN
 -- WEB SITE(S) OF LECTURER(S)
  http://w3.gazi.edu.tr/~ziya/
 -- EMAIL(S) OF LECTURER(S)
  ziya@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
They should be able to construct the field of complex numbers, represent them in polar and other forms.
hey should be able examine complex variable-complex valued functions and the properties of elementary complex functions.
TThey should be able understand continuity of complex functions and their differentiability, differentiability and analyticity , construct Cauchy-
They should be able to calculate a complex variable complex valued function on a given curve and they should be able to construct complex integral u
They should be able to explain Cauchy-Goursat's Theorem and consequences of Cauchy-Goursat's Theorem.
They should be able understand the concepts of complex sequences and Series, Taylor Series , Laurent Series, zeros and poles They should be able
They should be able to evaluate of Real Trigonometric Integrals and of Real Improper Integrals
 -- MODE OF DELIVERY
   The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  Before this course, the lectures should be taken some courses like Calculus I (single variables), Analytic Geometry, Linear Algebra and Foundations of Mathematics,
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course
 --COURSE CONTENT
1. Week  Introduction to the Lecture (aims, homeworks, investigations )
2. Week  Construction the field of complex numbers, polar forms
3. Week  Complex sequences and series
4. Week   complex variable-complex valued functions and the properties of elementary complex functions
5. Week  Continuity of complex functions and their differentiability
6. Week  Differentiability and Analyticity , Cauchy-Riemann Equations Harmonic functions and applications
7. Week  Complex Integrals, Cauchy-Goursat Theorem
8. Week  Independence of Path, Cauchy’s Integral Formulas and Their Consequences
9. Week  Sequences and Series, Taylor Series
10. Week  Laurent Series, Zeros and Poles
11. Week  Residues and Residue Theorem
12. Week  Some Consequences of the Residue Theorem
13. Week  Evaluation of Real Trigonometric Integrals
14. Week  Evaluation of Real Improper Integrals
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
   -- ZORUNLU YA DA ÖNERİLEN KAYNAKLAR Zill, D. G. And Shanan Patric D. A first Course in Complex Analysis Ruel V. Churchill , James Ward Brown “Complex variables and Aplications
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Exploration, Discussion, Brain storm, Demonstration, Concept map, inquiry, problem solving, discovery, diagnostic, computer and internet based,
 -- WORK PLACEMENT(S)
   Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
25
 Assignment
1
10
 Exercises
1
5
 Projects
1
10
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
50
 Contribution of Final Examination to Overall Grade  
50
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
2
28
 Practising Hours of Course Per Week
14
2
28
 Reading
14
2
28
 Searching in Internet and Library
20
2
40
 Designing and Applying Materials
0
 Preparing Reports
20
1
20
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
30
1
30
 Final and Studying for Final
30
1
30
 Other
20
1
20
 TOTAL WORKLOAD: 
224
 TOTAL WORKLOAD / 25: 
8.96
 ECTS: 
9
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Acquisition of scientific thinking skillsX
2Making research and investigation independentlyX
3Acquisition of carefully observing and analytically thinking skillsX
4Acquisition of learning and teaching mathematics problemsX
5Comprehending, applying and explaining the importance of mathematical conceptsX
6Developing the thinking, producing, argumenting and probing abilitiesX
7Having the algorithm and sotftware writing abilities for solving computer supported problemsX
8Developing the ability of reaching information, evaluating and presenting informationX
9Improving yourself parallel to the developing technologyX
10Understands the disciplinary structure of mathematics, its historical development, related philosophical approaches and problems.X