COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 580THEORY OF FUNCTIONS OF A REAL VARIABLE3 + 02nd Semester6

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective To teach the basic concepts and techniques used in real analysis.
Course Content The Real Number System. Lebesque Measure. Measurable functions. Lebesque Integral . Limit Theorems for Lebesque Integral. Differentiation and Integration. Absolute Continuity of Indefinite Lebesque Integral. Spaces of Integrable Functions. Stieltjes Integral.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Learns the structure of the real number system.
2Defines the Lebesque Measure and finds the Measurable functions.
3Learns the Lebesque integrali. and proves the theorems about Lebesque integral.
4Learns the rules of differentiation and integration.
5Knows the concept of Absolute Continuity of Indefinite Lebesque Integral.
6Studies the Spaces of Integrable Functions and Stieltjes Integral.

COURSE'S CONTRIBUTION TO PROGRAM
Data not found.

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration14342
Hours for off-the-classroom study (Pre-study, practice)14570
Assignments144
Mid-terms11313
Final examination12727
Total Work Load

ECTS Credit of the Course






156

6

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