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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 501ADVANCED REGULAR MATRIX MAPPINGS I3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective The aim of this course is to teach some limitation methods and their basic properties, which are very important in the theory of summability.
Course Content Limiting Methods, Matrix Limiting Methods, Norlund and Riesz Means, Schur Matrices, Consistency of Matrix Methods, Some Sample Limiting Methods, Cesaro and holder Matrices, Hausdorff Methods, Abel Methods, Tauber Theorems.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learns the limiting methods and knows the matrix limiting methods.
2Learns the Nörlund and Riesz means.
3Recognizes the consistency of Matrix Methods.
4Learns some examples of limiting methods.
5Knows the Cesaro and Hölder Matrices.
6Learns the Hausdorff and Abel methods.
7Knows the Tauber theorems.
8Learns inner product space, orthogonal group, self-adjoint operator.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0014 4 4 4 
LO 0023 5 4  3
LO 0034 4 4 5 
LO 0044 3 3 5 
LO 0053 4 5  5
LO 0064 4 4 44
LO 0073 3 3 45
LO 0084 4 4 45
Sub Total29 31 31 2622
Contribution40404033

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 2023-2024 Fall1CANAN HAZAR GÜLEÇ
Details 2014-2015 Fall1MEHMET ALİ SARIGÖL
Details 2013-2014 Fall1MEHMET ALİ SARIGÖL


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 501 ADVANCED REGULAR MATRIX MAPPINGS I 3 + 0 1 Turkish 2023-2024 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Assoc. Prof. Dr. CANAN HAZAR GÜLEÇ gchazar@pau.edu.tr FEN A0316 %
Goals The aim of this course is to teach some limitation methods and their basic properties, which are very important in the theory of summability.
Content Limiting Methods, Matrix Limiting Methods, Norlund and Riesz Means, Schur Matrices, Consistency of Matrix Methods, Some Sample Limiting Methods, Cesaro and holder Matrices, Hausdorff Methods, Abel Methods, Tauber Theorems.
Topics
WeeksTopics
1 Limiting Methods
2 Matrix Limiting Methods
3 Norlund and Riesz Means
4 Schur Matrices
5 Consistency of Matrix Methods
6 Some Sample Limiting Methods
7 Cesaro and holder Matrices
8 Hausdorff Methods
9 Midterm Exam
10 Tauber Theorems
11 Cesaro and holder Matrices
12 Hausdorff Methods
13 Abel Methods
14 Tauber Theorems
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