PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 336	REAL ANALYSIS	3 + 0	6th Semester	6

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	The aim of this course is to provide an introduction to the basic concepts and techniques used in measure and integral theory.
Course Content	Measures, Measurable Sets, Outer Measure, Lebesgue Outer Measure, Measurable Functions. .
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Understands the concepts of measure and measurable sets.
2	Contacts the relations between the out measure and measure.
3	Comments the properties of the Lebesgue measure.
4	Defines the measurable functions and realizes the properties of measure.
5	Dominates, and implements the given topics, will be capable of analytical thinking.

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10
LO 001		4				4		5
LO 002		5				4		4
LO 003		4				3		5	5
LO 004		3				4		4	4
LO 005			3			4		5	4
Sub Total		16	3			19		23	13
Contribution	0	3	1	0	0	4	0	5	3	0

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	3	42
Mid-terms	1	55	55
Final examination	1	59	59
Total Work Load ECTS Credit of the Course			156 6

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
MAT 336	REAL ANALYSIS	3 + 0	1	Turkish	2023-2024 Spring

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. ALP ARSLAN KIRAÇ	aakirac@pau.edu.tr		FEN A0313	%70

Goals		The aim of this course is to provide an introduction to the basic concepts and techniques used in measure and integral theory.
Content		Measures, Measurable Sets, Outer Measure, Lebesgue Outer Measure, Measurable Functions. .

Topics

Materials

Materials are not specified.

Resources

Resources	Resources Language
M.Balcı, Reel Analiz	Türkçe
W.Rudin,Real and Complex Analysis	Türkçe
R.G.Bartle, The Elements of Real Analysis	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student