Eskisehir Technical University Info Package Eskisehir Technical University Info Package
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General Information Programs
  • Graduate School of Sciences
  • Department of Mathematics
  • Master of Science (MS) Degree
  • Course Structure Diagram with Credits
  • Integral Equations I
  • Description
  • Description
  • Learning Outcomes
  • Course's Contribution to Prog.
  • Learning Outcomes & Program Qualifications

Course Introduction Information

Code - Course Title MAT545 - Integral Equations I
Course Type Elective Courses
Language of Instruction Türkçe
Laboratory + Practice 3+0
ECTS 7.5
Course Instructor(s) PROFESÖR DOKTOR YILMAZ DERELİ
Mode of Delivery The mode of delivery of this course is only Face to face
Prerequisites There is no prerequisite or co-requisite for this course.
Courses Recomended None.
Required or Recommended Resources Linear Integral Equations, William Vernon LovittIntegral Equations, F.G. Tricomi
Recommended Reading List Integral Equations and their Applications, M.Rahman
Assessment methods and criteria A midterm and a final exam
Work Placement N/A
Sustainability Development Goals

Content

Weeks Topics
Week - 1 Basic Concepts, Classification of integral equations
Week - 2 Classification of integral equations, Volterra integral equations, Fredholm integral equations, singular integral equations, Integro-differential equations
Week - 3 Relation between linear differential equation and Volterra's integral equation, converting Volterra equation to ODE, converting differential equation to Fredholm integral equations
Week - 4 Fredholm integral equations, solutions of integral equations with constant and degenerate kernels.
Week - 5 The method of successive approximations
Week - 6 Resolvant kernel, relation between resolvant and kernel
Week - 7 Fredholm Theorems
Week - 8 Fredholm Teorems
Week - 9 Solutions of Volterra integral equations by using Gamma - Beta functions
Week - 10 Volterra integral equations, the method of successive approxaimations
Week - 11 Solution of Volterra integral equation by using The method of Laplace transforms
Week - 12 The series method
Week - 13 Faltung types integral equations
Week - 14 Applications of integral equations

Learning Activities and Teaching Methods

  • Teaching Methods
  • Lecture
  • Question & Answer
  • Observation
  • Team/Group Work
  • Drill - Practise
  • Case Study
  • Problem Solving
  • Brain Storming
  • Competences
  • Productive
  • True to core values
  • Rational
  • Questoning
  • Entrepreneur
  • Creative
  • Follow ethical and moral rules
  • Effective use of Turkish
  • Effective use of a foreign language
  • Problem solving
  • Information Management
  • To work autonomously
  • Elementary computing skills

Assessment Methods

Assessment Method and Passing Requirements
Quamtity Percentage (%)
1.Midterm Exam 1 40
Final Exam 1 60
Toplam (%) 100
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