Akademik Dersler - Tanıtım

Last Updated: 27/03/2015

Code - Course Title	Course Type	Laboratory + Practice	ECTS
MAT403 - Real Analysis I	VII. SEMESTER	3 +0	5.0

Language of Instruction	Türkçe
Course Type	Required Courses
Course Instructor(s)	DOÇ. DR. ADEM ERSİN ÜREYEN
Mode of Delivery	The mode of delivery of this course is Face to face
Place of Delivery
Used Educational Platforms
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	None
Recommended Resources	Burk, F. (1998) Lebesgue Measure and Integration, John Wiley and Sons
Work Placement	N/A
Aims of the Course

Weeks	Learning Outcomes	Topics	Teaching Methods
Week - 1		Foundations
Week - 2		Countable sets
Week - 3		Uncountable sets
Week - 4		Function sequences and series. Uniform convergence
Week - 5		Applications
Week - 6		General measure theory. Sigma algebras. Borel algebra
Week - 7		Inner measure and outer measure
Week - 8		Inner measure in the sense of Lebesgue
Week - 9		Outer measure in the sense of Lebesgue
Week - 10		Applications
Week - 11		Simple functions
Week - 12		Measurable functions
Week - 13		Deriving measurable functions from given measurable functions
Week - 14		Arithmetic of measurable functions

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Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	25
Final Exam	1	45
2.Midterm Exam	1	30
Toplam (%)		100