GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
Complex Analysis/MATH296
Course Title: Complex Analysis
Credits 3 ECTS 4
Course Semester 4 Type of The Course Compulsory
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  English
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
Can apply limit, continuity and differentiality rules to complex functions.
Can calculate the contour integration of complex functions.
Can interpret the Cauchy-Integral Theorem and its results
Can define and sample complex series.


 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to
 --WEEKLY SCHEDULE
1. Week  Complex numbers. Definition. Algebraic Properties Geometric interpretation. Properties of triangle inequality. Polar form. Exponential form. Roots and powers. Region in complex plane. Expandal plane and spherical form
2. Week  Analytic functions. Functions of complex variable. Mappings. Limit. Continuity. Derivatives.
3. Week  Formulas of Cauchy Riemann. Sufficient conditions. Polar coordinates. Harmonic functions.
4. Week  Elementary functions. The exponential functions, trigonometric, hyperbolic, logarithmic functions.
5. Week  Integrals. Determined integrals, Contours. Contour integrals. Cauchy Gaursat Theorem. Preliminary Lemma.
6. Week  Simply and multiply connected domains. Cauchy integral formula.
7. Week   Derivatives of analytic functions.
8. Week  Morera’s Theorem
9. Week  Convergence of sequences and series. Taylor series.
10. Week  Laurent series. Uniform convergence.
11. Week  Residues and poles. Residues at poles.
12. Week  Principal part of a functions.
13. Week  General integrals.
14. Week  Poles and zeros.
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
60
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
60
 Percentage of Final Exam to Total Score  
40
 -- 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
5
4
20
 Searching in Internet and Library
0
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
10
10
 Final Exam and Preperation for Final Exam
1
20
20
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
92
 TOTAL WORKLOAD / 25: 
3.68
 Course Credit (ECTS): 
4
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems.X
2Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.X
3Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose.
4Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively.
5Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions
6Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually
7Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions
8Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself
9Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice .
10Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
11Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions .
 -- NAME OF LECTURER(S)
   (Instructors from Mathematics Department)
 -- WEB SITE(S) OF LECTURER(S)
   (-)
 -- EMAIL(S) OF LECTURER(S)
   (-)