GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
COMPLEX ANALYSIS I/MAT3003
Course Title: COMPLEX ANALYSIS I
Credits 4 ECTS 5
Semester 5 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
   Turkish
 -- NAME OF LECTURER(S)
  Asist.Prof. Kadir KANAT
 -- WEB SITE(S) OF LECTURER(S)
  http://www.websitem.gazi.edu.tr/site/kadirkanat
 -- EMAIL(S) OF LECTURER(S)
  kadirkanat@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
He/she learns definition of complex numbers, their algebraic properties and their connections with real numbers.
He/she can establish the complex plane and define region.
He/she can solve limit and derivative issues problems defined on complex valued functions.
He/she knows the properties of the different functions defined in the complex plane.
He/she can make region conversion with functions defined in the complex plane.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face.
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Definition and algebraic properties of complex numbers, geometric interpretation, the triangle inequality
2. Week  Writing complex numbers in polar and exponential form, power and roots of complex numbers
3. Week  Regions in the complex plane, creating complex plane
4. Week  Complex functions, limits, limit theorems,the definition of infinite point and limit at infinity
5. Week  Continuous functions, derivative, derivative formulas
6. Week  Cauchy-Riemann equations
7. Week  Analytic functions, harmonic functions
8. Week  Midterm exam
9. Week  Exponential function and features
10. Week  Trigonometric functions, hyperbolic functions
11. Week  Logarithmic function and its branches, the characteristics of logarithmic functions
12. Week  Complex exponents, inverse trigonometric and hyperbolic functions
13. Week  Transformations made by elementary functions, linear functions, 1 / z function
14. Week  Linear fractional transformations and display regions
15. Week  Applications and Picture of the upper half-plane under the linear fractional transformations
16. Week  Final exam
 -- RECOMMENDED OR REQUIRED READING
   R.V.Churchill and J.W.Brown, Complex Variables and Applications; M.R.Spiegel,Complex Variables; T.Başkan, Kompleks Fonksiyonlar Teorisi
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
40
 Assignment
0
0
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
40
 Contribution of Final Examination to Overall Grade  
60
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
3
42
 Practising Hours of Course Per Week
14
2
28
 Reading
0
 Searching in Internet and Library
5
2
10
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
6
2
12
 Final and Studying for Final
8
2
16
 Other
11
2
22
 TOTAL WORKLOAD: 
130
 TOTAL WORKLOAD / 25: 
5.2
 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 train individuals who are equipped with enough mathematicsX
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
10The skill to have professional and ethical responsibilityX