COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 540FUNCTIONAL ANALYSIS I3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective The aim of this course is to teach concepts of metric space, norm space, Banach space, Hilbert space and basic theorems on Banach Space.
Course Content Metric Spaces, Normed Spaces, Banach Spaces, Inner Product Spaces, Hilbert Spaces, Fundamental Theorems on Normed and Banach Spaces, Advanced Application, Banach Fixed Point Theorem, Approach Theory.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Learns the structures of Metric Spaces, Normed Spaces, Banach Spaces, Inner Product Spaces, Hilbert Spaces.
2Knows the expression and proof of the Fundamental Theorems on Normed and Banach Spaces.
3States and proves the Banach fixed point theorem.
4Have information on Approximation Theory.

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
Presentation / Seminar Preparation13339
Total Work Load

ECTS Credit of the Course






195

7,5

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