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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 553POSITIVE SOLUTIONS OF LINEAR OPERATORS II3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective The aim of this course is to give detailed knowledge about positive linear operators and fixed point theorems.
Course Content Positive Linear Functionals, Fixed Points of Increasing Functions, Differentiable according to Cone, Positive Linear Operators, Fixed Point Index, Fixed Points at Cone Crust, Existence of Several Fixed Points.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Students will be able to know the derivations with respect to a cone.
2 Students will be able to prove the basic theorems on linear positive operators.
3Students will be able to know the fixed point theorems on cone.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 00145  45  
LO 0025  545  
LO 00344 44   
Sub Total139 91210  
Contribution43034300

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 Spring1ALP ARSLAN KIRAÇ
Details 2021-2022 Spring1ALP ARSLAN KIRAÇ
Details 2012-2013 Fall1İSMAİL YASLAN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 553 POSITIVE SOLUTIONS OF LINEAR OPERATORS II 3 + 0 1 Turkish 2022-2023 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. ALP ARSLAN KIRAÇ aakirac@pau.edu.tr FEN A0203 %
Goals The aim of this course is to give detailed knowledge about positive linear operators and fixed point theorems.
Content Positive Linear Functionals, Fixed Points of Increasing Functions, Differentiable according to Cone, Positive Linear Operators, Fixed Point Index, Fixed Points at Cone Crust, Existence of Several Fixed Points.
Topics
WeeksTopics
1 Cones and partial orderings
2 Positive linear functionals
3 Positive linear functionals
4 Fixed points of incresing maps
5 Fixed points of incresing maps
6 Differentiability with respect to a cone
7 Differentiability with respect to a cone
8 Positive linear operators
9 Midterm exam
10 Fixed points of increasing maps
11 The fixed point index
12 Fixed points in conical shells
13 Existence of several fixed points
14 Existence of several fixed points
Materials
Materials are not specified.
Resources
ResourcesResources Language
Nonlinear Functional Analysis, Klaus DeimlingEnglish
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