1. SECOND CYCLE - MASTER'S DEGREE
  2. THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
  3. MATHEMATICS DEPARTMENT
  4. 1441 Mathematics
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 554OPERATOR EQUATIONS THEORY I3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective The aim of this course is to introduce several classes of operators and their derivatives.
Course Content Linear u0-positive Operators, Linear Operators at Complete Space as Weak, Gateaux and Frechet Derivatives, Positive and Monotone Operators, Derivative at Infinite, Existence of Strong Asymptotic Derivative, Differentiable of Uryson Operator.
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 Gateaux and Frechet derivatives.
2Students will be able to prove theorems about positive and monotone operators.
3Students will be able to comment derivatives at infinity.
4Students will be able to know the theorems about the existence of a strong asymptotic derivative.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 001 45  45 
LO 002 44  54 
LO 003 55  45 
LO 004 44  44 
Sub Total 1718  1718 
Contribution04500450

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 2012-2013 Spring1İSMAİL YASLAN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 554 OPERATOR EQUATIONS THEORY I 3 + 0 1 Turkish 2012-2013 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. İSMAİL YASLAN iyaslan@pau.edu.tr FEN A0205 %80
Goals The aim of this course is to introduce several classes of operators and their derivatives.
Content Linear u0-positive Operators, Linear Operators at Complete Space as Weak, Gateaux and Frechet Derivatives, Positive and Monotone Operators, Derivative at Infinite, Existence of Strong Asymptotic Derivative, Differentiable of Uryson Operator.
Topics
WeeksTopics
1 Linear u0-positive Operators
2 Linear u0-positive Operators
3 Linear Operators at Complete Space as Weak
4 Linear Operators at Complete Space as Weak
5 Gateaux and Frechet Derivatives
6 Gateaux and Frechet Derivatives
7 Positive and Monotone Operators
8 Positive and Monotone Operators
9 Midterm Exam
10 Derivative at Infinite
11 Derivative at Infinite
12 Existence of Strong Asymptotic Derivative
13 Differentiable of Uryson Operator
14 Differentiable of Uryson Operator
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