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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 526APPROXIMATION THEORY OF FUNCTIONS I3 + 02nd Semester7,5

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
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0015 4 54  
LO 0024 4 55  
LO 003        
LO 004        
LO 005        
LO 006        
Sub Total9 8 109  
Contribution20102200

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)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course






195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2022-2023 Spring1ÖZLEM GİRGİN ATLIHAN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 526 APPROXIMATION THEORY OF FUNCTIONS I 3 + 0 1 Turkish 2022-2023 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. ÖZLEM GİRGİN ATLIHAN oatlihan@pau.edu.tr FEN A0311 %
Goals To teach direct and inverse theorems of approximation theory about approximation of the functions , which continuous in the interval.
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.
Topics
Materials
Materials are not specified.
Resources
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes