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	-	4	4	-	-
Course Language		English
Course Coordinator		İlkay Bakırtaş Akar
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		I.work with Complex Numbers İİ. 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 Integral
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