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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 507INTEGRAL EQUATIONS3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective The aim of this course is to teach the fundamental concepts and various solution methods for Integral equations.
Course Content Dirac Delta Function, Fredholm’s Integral Equations, Volterra’s Integral Equations, Neumann Series, Method Of Nystrom, Eigenvalues And Eigenfunctions Of Symmetric Kernels, Greens Functions, Integral Equations Representation Of Boundary Value Problems, Schmidt Series.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Realizes the Dirac delta function.
2Solves the Fred Holm and Voltera integral equations.
3Learns the Neuman series and Nqström method.
4Knows the Eigenvalues And Eigenfunctions Of Symmetric Kernels.
5Knows the Green function and its application areas.
6Can show the Integral Equations Representation Of Boundary Value Problems.
7Knows the Schmidt series.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0015 45 4  
LO 0024 54 54 
LO 0035 44 4  
LO 0045 55 5  
LO 0054 45 44 
LO 0064 54 4  
LO 0075 45 54 
Sub Total32 3132 3112 
Contribution50450420

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 Spring1AYŞEGÜL DAŞCIOĞLU
Details 2017-2018 Fall1İBRAHİM ÇELİK
Details 2016-2017 Fall1İBRAHİM ÇELİK
Details 2015-2016 Fall1İBRAHİM ÇELİK
Details 2013-2014 Fall1İBRAHİM ÇELİK
Details 2012-2013 Fall1İBRAHİM ÇELİK
Details 2011-2012 Fall1İBRAHİM ÇELİK
Details 2010-2011 Fall1İBRAHİM ÇELİK
Details 2009-2010 Fall1İBRAHİM ÇELİK


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 507 INTEGRAL EQUATIONS 3 + 0 1 Turkish 2023-2024 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. AYŞEGÜL DAŞCIOĞLU aakyuz@pau.edu.tr FEN A0207 %60
Goals The aim of this course is to teach the fundamental concepts and various solution methods for Integral equations.
Content Dirac Delta Function, Fredholm’s Integral Equations, Volterra’s Integral Equations, Neumann Series, Method Of Nystrom, Eigenvalues And Eigenfunctions Of Symmetric Kernels, Greens Functions, Integral Equations Representation Of Boundary Value Problems, Schmidt Series.
Topics
WeeksTopics
1 Dirac Delta Function
2 Fredholm’s Integral Equations
3 Fredholm’s Integral Equations
4 Volterra’s Integral Equations
5 Volterra’s Integral Equations
6 Neumann Series
7 Method Of Nystrom
8 Eigenvalues And Eigenfunctions Of Symmetric Kernels
9 Eigenvalues And Eigenfunctions Of Symmetric Kernels
10 Greens Functions
11 Greens Functions
12 Integral Equations Representation Of Boundary Value Problems
13 Integral Equations Representation Of Boundary Value Problems
14 Integral Equations Representation Of Boundary Value Problems
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