TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Doctorate Of Science
YEAR OF STUDY	-
SEMESTER	-
NUMBER OF ECTS CREDITS ALLOCATED	10
NAME OF LECTURER(S)	-
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) know the concepts of Vector and Fourier Analysis 2) can apply Cauchy?s theorem. 3) can make the series expansion of analytic functions 4) can make the applications of Residue?s theorem
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
COURSE DEFINITION	Vectoranalysıs, Fourieranalysis, Cauchy?sTheorem, Series representation of analytic functions, Calculus of residues, Conformal mappings, The Laplace transformand applications.
COURSE CONTENTS	WEEK TOPICS 1st Week Fundamenbtaş Concepts of Real and Complex Analysis 2nd Week Vector Analysis 3rd Week Vector Analysis 4th Week Fourier Analysis 5th Week Fourier Analysis 6th Week Cauchy?s Theorem 7th Week Applications of Cauchy?s Theorem 8th Week Midterm 9th Week Series representation of analyticfunctions-Power series 10th Week Taylor and Laurent Series 11th Week Calculus of residues-Residue Theorem 12th Week Calculus of residues 13th Week Conformal mappings 14th Week The Laplace transform and applications. 15th Week
RECOMENDED OR REQUIRED READING	Lars V. Alfhors, Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable, McGraw-Hill, 1996. James Ward Brown, Ruel V. Churchill, Complex Variables and Applications, Mc Graw Hill Science, 1995. Real and Complex Analysis, Walter Rudin.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 40 Total(%) 40 Contribution of In-term Studies to Overall Grade(%) 40 Contribution of Final Examination to Overall Grade(%) 60 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam Preparation for Quiz Individual or group work 14 12 168 Preparation for Final exam 1 60 60 Course hours 14 3 42 Preparation for Midterm exam Laboratory (including preparation) Final exam 1 1,5 1,5 Homework 1 20 20 Total Workload 291,5 Total Workload / 30 9,71 ECTS Credits of the Course 10
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No