Course Information

Course Name	Turkish	Reel Analiz I
	English	REAL ANALYSIS I
Course Code	MAT 502	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	-	-	-
Course Language		Turkish
Course Coordinator		İbrahim Kırat
Course Objectives		1. To teach the basic topics of Real Analysis, 2. To teach the basic methods of proof and to develope the ability to solve theoretical problems.
Course Description		Theory of Functions of a Real Variable: The Extended Real Numbers, Continuous Functions, Borel Sets Lebesgue Measure and The Lebesgue Integral: Littlewood’s Three Principles, The General Lebesgue Integral, Convergence in Measure Differentiation and Integration: Functions of Bounded Variation, Differentiation of an Integral, The Classical Banach Spaces: The Lp Spaces.
Course Outcomes		A student completing this course succesfully is expected to have learned the topics: I. Basic Concepts of Real Analysis II. Theory of Functions of a Real Variable, III. Lebesgue Measure and the Lebesgue Integral, IV. Differentiation and Integration, V. The Classical Banach Spaces.
Pre-requisite(s)
Required Facilities
Other
Textbook		Royden, H. L., (1988). Real Analysis, Prentice-Hall, Inc., 3. sürüm.
Other References