Course Information

Course Name	Turkish	Kompleks Fonksiyonlar Teorisi
	English	Theory of Complex Functions
Course Code	MAT 341E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	5	4	4	-	-
Course Language		English
Course Coordinator		Uğur Dursun
Course Objectives		To teach the basic topics of Complex Analysis.
Course Description		Complex numbers, analytic and harmonic functions, elementary functions, contour integrals, Cauchy theorem, Cauchy integral formula. Taylor series. Singular and isolated singular points. Laurent series. Residue theorem. Application of Residue theorem to calculation of integrals. Maximum modulus principle
Course Outcomes		Students completing this course will be able to I. work with Complex Numbers II. be familiar with Analytic Functions and their properties III. understand the similarities and differences between the real and complex elemantery functions. IV. set up and directly evaluate contour integrals or evaluate contour integrals using the Cauchy Integral Theorem. V. find Taylor or Laurent Series for simple functions. Show understanding of the convergence regions for each type of series VI. Identify and classify zeros and singular points of functions. Compute residues. Use residues to evaluate various contour integrals. VII. Evaluate improper Integrals
Pre-requisite(s)
Required Facilities
Other
Textbook		Complex Variables and Applications, 6th Edition / James Ward Brown and Ruel V. Churchill, McGraw-Hill Companies
Other References		Theory and Problems of Complex Variables, Schaum’s Series, Murray R. Spiegel, McGraw Hill Companies, A First Course in Complex Analysis with Applications, Dennis G. Zill and Patric D. Shanahan, Jones and Bartlett Publishers.

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