Course Information

Course Name	Turkish	Kompleks Analiz
	English	Complex Analysis
Course Code	MAT 341E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	5	4	4	-	-
Course Language		English
Course Coordinator		Aybike Özer
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 elementary 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 and definite integrals involving sines and cosines.
Pre-requisite(s)		MAT 213 MIN DD veya/or MAT 213E MIN DD veya/or MAT 102 MIN DD veya/or MAT 102E MIN DD veya/or MAT 104 MIN DD veya/or MAT 104E MIN DD veya/or MAT 188 MIN DD veya/or MAT 188E MIN DD veya/or MAT 211 MIN DD veya/or MAT 211E MIN DD
Required Facilities
Other		Derse devam zorunludurr ve derslerin en az %70ine katilmayan ogrenciler VF alacaktir. Matematik bolumunun yeni duzenlemesine gore, sene ici degerlendirmelerinden %30 oraninda basari gosteremeyen ogrenciler VF alacaktir.
Textbook		Complex Variables and Applications,8th Edition / James Ward Brown and Ruel V. Churchill, McGraw-Hill Education
Other References		Fundamentals of Complex Analysis with Applications to Enginnering and Science, 3th Edition / E. B. Saff and A. D. Snider, Pearson Education, 2003

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