COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 526APPROXIMATION THEORY OF FUNCTIONS I3 + 02nd Semester6

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective To teach direct and inverse theorems of approximation theory about approximation of the functions , which continuous in the interval.
Course Content Chebyshev Theorems, Chebyshev Polynomials, Weierstrass Theorems, Polynomial Kernels, Continuity Moduls and Their Properties, Denoted Function Class with Continuity Moduls, Smooth and Inverse Theorems about Approximation of Periodic Functions, Constructive Characteristic of Hölder ve Zigmund Functions Class.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Learns the Chebyshev Theorems, Chebyshev Polynomials.
2Expresses and prove the Weierstrass Theorems.
3Learns the Polynomial Kernels, Continuity Moduls and Their Properties.
4Realizes the Denoted Function Class with Continuity Moduls.
5Knows the proofs of Smooth and Inverse Theorems about Approximation of Periodic Functions.
6Learns the Constructive Characteristic of Hölder ve Zigmund Functions Class.

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 Duration (14 weeks/theoric+practical)14342
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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