Information Package / Course Catalogue - Adnan Menderes University

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Numerical Solution of Integral Equations

Course Code	: MTK528
Course Type	: Area Elective
Couse Group	: Second Cycle (Master's Degree)
Education Language	: Turkish
Work Placement	: N/A

Theory	: 3
Prt.	: 0
Credit	: 3
Lab	: 0
ECTS	: 6

Objectives of the Course

This course aims to acquaint students with the basic knowledge of numerical solution of some kinds of integral equations. Students will be familiar with classification of equations Volterra and Fredholm method of solutions. They may easily understand the features of topics used at the area of information other courses. They will be able to make applications related to biology, and other sciences.

Course Content

Numerical solution and stability of Volterra integral equations, Linear and non-linear integro-differential equations, Numerical solution of integro-differential equations with parabolic type., Numerical solution of integro-differential equations with parabolic Volterra type, stability analysis.

Name of Lecturer(s)

Learning Outcomes

1.	To be able to comprehend integral equations.
2.	To be able to solve actual and numerical integral equations.
3.	To be able to prepare stability analysis.
4.	To be able to write computer programming.
5.	To be able to use mathematical concepts in solving certain types of problems

Recommended or Required Reading

1.	Ram P. KANWAL (1971) Lineer integral denklemler (Linear Integral Equations), Academic Pres, New York and London
2.	Villiam Vernon LOVITT (1950) Lineer integral denklemler (Linear Integral equations), Dower publications, New York.
3.	Yavuz AKSOY (1983) İntegral Denklemler (Integral Equations), Yıldız üniversitesi yayınları

Weekly Detailed Course Contents

Week 1 - Theoretical

Introduction of MATLAB and integral equations

Week 2 - Theoretical

Relation between linear differential equations and integral equations with Fredholm and Volterra integral equations

Week 3 - Theoretical

Relation between linear differential equations and integral equations with Fredholm and Volterra integral equations

Week 4 - Theoretical

Linear and nonlinear integro-differential equations

Week 5 - Theoretical

Numerical solution and stability of Volterra integral equations, Linear and non-linear integro-differential equations

Week 6 - Theoretical

Linear and non-linear integro-differential equations, Linear and Nonlinear Volterra integral equations of the second kind

Week 7 - Theoretical

Volterra integral equations with time lags

Week 8 - Theoretical

Lotka-Volterra systems, Midterm exam

Week 9 - Theoretical

Lotka-Volterra systems

Week 10 - Theoretical

Numerical solution of integro-differential equations with parabolic type.

Week 11 - Theoretical

Numerical error analysis

Week 12 - Theoretical

Numerical solution of integro-differential equations with parabolic Volterra type.

Week 13 - Theoretical

Numerical solution of integro-differential equations with parabolic Volterra type.

Week 14 - Theoretical

Numerical stability analysis

Week 15 - Final Exam

Final Exam

Assessment Methods and Criteria

Type of Assessment	Count	Percent
Assignment	1	%5
Term Assignment	1	%5
Midterm Examination	1	%20
Final Examination	1	%70

Workload Calculation

Activities	Count	Preparation	Time	Total Work Load (hours)
Lecture - Theory	14	1	3	56
Assignment	1	10	2	12
Term Project	1	10	2	12
Individual Work	14	0	1	14
Midterm Examination	1	20	2	22
Final Examination	1	32	2	34
TOTAL WORKLOAD (hours)				150

Contribution of Learning Outcomes to Programme Outcomes

	PÇ-1	PÇ-2	PÇ-3	PÇ-4	PÇ-5	PÇ-6	PÇ-7	PÇ-8	PÇ-9	PÇ-10	PÇ-11	PÇ-12	PÇ-13	PÇ-14	PÇ-15
OÇ-1	3	3	3	3								3			4
OÇ-2	4	4	4	4	4		4								4
OÇ-3	4	4	4	4	4		4								4
OÇ-4	4		4									5			3
OÇ-5	4		4									3			4

Person Responsible for Information Package