Akademik Dersler - Tanıtım


Code - Course Title	MAT402 - Real Analysis II
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	5.0
Course Instructor(s)	DOÇENT DOKTOR ADEM ERSİN ÜREYEN
Mode of Delivery	The mode of delivery of this course is Face to face
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	MAT221 Analysis I, MAT222 Analysis II
Required or Recommended Resources	Balcı, Mustafa. Reel Analiz
Recommended Reading List	Burk, F. (1998) Lebesgue Measure and Integration, John Wiley and Sons
Assessment methods and criteria	Written Exam
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Repetition of the set sequences and limits notions
Week - 2	Repetition of the measurement and sigma algebra notion
Week - 3	Outer Lebesgue measurement
Week - 4	Measurable functions
Week - 5	Introduction to the Lebesque integral and integral of simple functions
Week - 6	Integral of positive valued functions and monotone convergence theorem
Week - 7	Fatou Lemma and Beppo-Levi theorem
Week - 8	Applications
Week - 9	Integrable functions
Week - 10	Tchebitchev inequality
Week - 11	Lebesgue convergence and bounded convergence theorems
Week - 12	Comparision of the Lebesgue and Riemann integrals
Week - 13	Riesz theorem
Week - 14	Lp spaces

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	30
2.Midterm Exam	1	30
Final Exam	1	40
Toplam (%)		100