Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
MAT538LİNEAR İNTEGRAL EQUATIONS IIElective126
Level of Course Unit
Second Cycle
Objectives of the Course
to do applications of linear integral equations to problems
Name of Lecturer(s)
Prof.Dr.Mammad MUSTAFAYEV
Learning Outcomes
1To classify integral equations
2To understand recurence relations
Mode of Delivery
Formal Education
Prerequisites and co-requisities
Recommended Optional Programme Components
Course Contents
Neumann series, Fredholm method, Recurrence relations, Hadamard theorem, homogeneous integral equations, symmetric integral equations, Gamma and beta functions, examination of a genus Volterra equation with the help of gamma vebeta functions
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Neumann series
2Neumann series
3 Fredholm method
4Fredholm method
5Recurrence relations
6Recurrence relations
7Neumann series, Fredholm method, Recurrence relations, Hadamard theorem, homogeneous integral equations, symmetric integral equations, Gamma and beta functions, examination of a genus Volterra equation with the help of gamma vebeta functions
8Neumann series, Fredholm method, Recurrence relations, Hadamard theorem, homogeneous integral equations, symmetric integral equations, Gamma and beta functions, examination of a genus Volterra equation with the help of gamma vebeta functions
9Neumann series, Fredholm method, Recurrence relations, Hadamard theorem, homogeneous integral equations, symmetric integral equations, Gamma and beta functions, examination of a genus Volterra equation with the help of gamma vebeta functions
10Neumann series, Fredholm method, Recurrence relations, Hadamard theorem, homogeneous integral equations, symmetric integral equations, Gamma and beta functions, examination of a genus Volterra equation with the help of gamma vebeta functions
11Neumann series, Fredholm method, Recurrence relations, Hadamard theorem, homogeneous integral equations, symmetric integral equations, Gamma and beta functions, examination of a genus Volterra equation with the help of gamma vebeta functions
12Neumann series, Fredholm method, Recurrence relations, Hadamard theorem, homogeneous integral equations, symmetric integral equations, Gamma and beta functions, examination of a genus Volterra equation with the help of gamma vebeta functions
13Neumann series, Fredholm method, Recurrence relations, Hadamard theorem, homogeneous integral equations, symmetric integral equations, Gamma and beta functions, examination of a genus Volterra equation with the help of gamma vebeta functions
14Neumann series, Fredholm method, Recurrence relations, Hadamard theorem, homogeneous integral equations, symmetric integral equations, Gamma and beta functions, examination of a genus Volterra equation with the help of gamma vebeta functions
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
Work Placement(s)
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination17070
Final Examination19090
Makeup Examination12020
TOTAL WORKLOAD (hours)180
Contribution of Learning Outcomes to Programme Outcomes
LO1
LO2
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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