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SDÜ Education Information System Course Content
Programme
Graduate School of Natural and Applied Sciences Manufacturing Engineering
Course Information
Course Unit Code
Course Unit Title
Credit Theoretic
Credit Pratic
Credit Lab/A
Credit Total
Credit Ects
Semester
01IMM5121
Complex Analysis and Applications
3.00
0.00
0.00
3.00
6.00
1
Course Information
Language of Instruction
Turkish
Type of Course Unit
Elective
Course Coordinator
Associate Professor Dr. M.Režit USAL
Course Instructors
3-Mustafa Režit Usal
Course Assistants
 
Course Aims
To learn fundamental concepts and calculations of complex functions theory for analysis of engineering problems
Course Goals
1) To understand the main properties and examples of complex numbers and functions
2) To be able to compute and manipulate series expansions for analytic functions;
3) To know and be able to use the major integral theorems for complex analysis
4) To understand the relationship between complex function theory and the real function theory
5) To understand Singular points and residue theorems
Learning Outcomes of The Course Unit
1) To be able to understand the relationship between the complex and real numbers.
2) Concepts of sequence and series in complex number
3) To be able to apply the limit, continuity and the complex differentation
4) To be able to interpretation of analytic function concept
5) To be able to calculate an integral on complex plane
6) To undestand Cauchy-integral theorem
7) To be able to use series expansions of functions
8) To classify of the singular points
9) To be able to apply Residue theorem and calculation of some real
Course Contents
Complex number, Complex variable, Complex functions, derivative and integrals of complex functions, Cauchy integral theorems, Laurent series, singular points of analytical functions, residue calculationn, Cauchy residue theorems
Prerequisities and Co-requisities Courses
 
Recommended Optional Programme Components
 
Mode Of Delivery
 
Level of Course Unit
 
Assessment Methods and Criteria
ECTS / Table Of Workload (Number of ECTS credits allocated)
Studies During Halfterm
Number
Co-Efficient
Activity
Number
Duration
Total
Visa
1
40
Course Duration (Excluding Exam Week)
14
3
42
Quiz
1
10
Time Of Studying Out Of Class
14
4
56
Homework
10
40
Homeworks
10
4
40
Attendance
1
10
Presentation
0
0
0
Application
0
0
Project
0
0
0
Lab
0
0
Lab Study
0
0
0
Project
0
0
Field Study
0
0
0
Workshop
0
0
Visas
1
14
14
Seminary
0
0
Finals
1
20
20
Field study
0
0
Workload Hour (30)
30
TOTAL
100
Total Work Charge / Hour
172
The ratio of the term to success
40
Course's ECTS Credit
6
The ratio of final to success
60
 
TOTAL
100
 
Recommended or Required Reading
Textbook
 
Additional Resources
Cohen, Harold. "Fundamentals and applications of complex analysis", Kluwer Academic / Plenum Publi New York, 1998.

Junjiro, Noguchi. "Introduction to complex analysis", American Mathematical Society Rhode Island, 1998 .

Priestley, H.A. "Introduction to complex analysis", Oxford University Pres , 1990.

Saff, E. B. "Fundamentals of complex analysis with applications for engineering", Prentice Hall New Jersey, 2003.

Shakarchi, Rami. "Problems and solutions for complex analysis", Springer-Verlag New York,1999.
Material Sharing
Documents
 
Assignments
 
Exams
 
Additional Material
 
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
Work Placements
As with any other educational component, credits for work placements are only awarded when the learning outcomes have been achieved and assessed. If a work placement is part of organised mobility (such as Farabi and Erasmus), the Learning Agreement for the placement should indicate the number of credits to be awarded if the expected learning outcomes are achieved.
Program Learning Outcomes
No
Course's Contribution to Program
Contribution
1
An able to use informations of mathematicall, science, engineeringin solving the manufacturing engineering problems
5