Print

COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 552POSITIVE SOLUTIONS OF LINEAR OPERATORS I3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective The aim of this course is to introduce the concept of a cone in a Banach space.
Course Content Cone Concept at Banach Space, Normal Cones, Space, Linear Positive Functionals, Regular Cones, Criteria for Regulation of a Cone, Minihedral Cones, Space with Two Cones.
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 understand the classes of cone in a Banach space.
2Students will be able to prove the basic theorems on linear positive functionals.
3Students will be able to know the criteria for the regularity of the cone.
4Students will be able to comment the minihedral cones.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 001 45  54 
LO 002 44  45 
LO 003 4   55 
LO 004 4   44 
Sub Total 169  1818 
Contribution04200550

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 2021-2022 Fall1ALP ARSLAN KIRAÇ
Details 2011-2012 Spring1İSMAİL YASLAN


Print

Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 552 POSITIVE SOLUTIONS OF LINEAR OPERATORS I 3 + 0 1 Turkish 2021-2022 Fall
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 introduce the concept of a cone in a Banach space.
Content Cone Concept at Banach Space, Normal Cones, Space, Linear Positive Functionals, Regular Cones, Criteria for Regulation of a Cone, Minihedral Cones, Space with Two Cones.
Topics
WeeksTopics
1 Cone concept in Banach space
2 Normal cones
3 E_u_0 space
4 Linear positive functionals
5 Regular cones
6 The relation between the regularity and normality of a cone
7 Fully regular cone
8 The conjugate cone
9 Midterm exam
10 Criteria for the regularity of a cone
11 Minihedral cones
12 Existence of the least upper bound for a denumerable set of elements
13 Strongly minihedral cones
14 A space with two cones
Materials
Materials are not specified.
Resources
ResourcesResources Language
Positive solutions of operator equations, M. A. Krasnosel'skiiEnglish
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