       
Programme 
Graduate School of Natural and Applied Sciences Manufacturing Engineering 
Course Information 
Course Unit Code  Course Unit Title   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  3Mustafa 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 Cauchyintegral 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 Corequisities 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  CoEfficient  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", SpringerVerlag 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 