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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 502THEORY OF ADVANCED DIVERGENT SERIES II3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective The aim of this course is to teach linear operators from sequence space to sequence space, series space to sequence space and series to series space, and the methods of proof of some basic theorems such as Silverman-Toeplitz theorem, Koujima-Schur theorem.
Course Content Matrix Mappings in Sequence Spaces, Sequence to Sequence Mappings, Silverman-Toeplitz theorem, Konjima-Schur theorem, Series to Sequence Mappings, Series to Series Mappings and relevant Theorems.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learns and gives examples of Matrix Mappings in Sequence Spaces.
2Knows the mappings from Sequence to Sequence.
3Learns the Silverman-Toeplitz and Konjima-Schur theorems.
4Knows the mappings from series to sequence, series to series and the relevant theorems.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 00144  54  
LO 00254  4 5 
LO 00345   54 
LO 004 44 5  4
Sub Total13174 14994
Contribution34104221

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 2022-2023 Spring1CANAN HAZAR GÜLEÇ
Details 2019-2020 Spring1MEHMET ALİ SARIGÖL
Details 2016-2017 Spring1MEHMET ALİ SARIGÖL
Details 2014-2015 Fall1MEHMET ALİ SARIGÖL
Details 2011-2012 Spring1MEHMET ALİ SARIGÖL
Details 2010-2011 Spring1MEHMET ALİ SARIGÖL
Details 2009-2010 Spring1MEHMET ALİ SARIGÖL


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 502 THEORY OF ADVANCED DIVERGENT SERIES II 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 A0315 %60
Goals The aim of this course is to teach linear operators from sequence space to sequence space, series space to sequence space and series to series space, and the methods of proof of some basic theorems such as Silverman-Toeplitz theorem, Koujima-Schur theorem.
Content Matrix Mappings in Sequence Spaces, Sequence to Sequence Mappings, Silverman-Toeplitz theorem, Konjima-Schur theorem, Series to Sequence Mappings, Series to Series Mappings and relevant Theorems.
Topics
WeeksTopics
1 Matrix Mappings in Sequence Spaces,
2 Matrix Mappings in Sequence Spaces,
3 Sequence to Sequence Mappings,
4 Sequence to Sequence Mappings,
5 Silverman-Toeplitz theorem,
6 Konjima-Schur theorem,
7 Series to Sequence Mappings,
8 Series to Series Mappings and relevant Theorems.
9 Midterm Exam
10 Silverman-Toeplitz theorem,
11 Konjima-Schur theorem,
12 Series to Sequence Mappings,
13 Series to Series Mappings and relevant Theorems.
14 Series to Series Mappings and relevant 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