# Integral Equations

At the end of this course the students will be able to understand the importance of integral equations as many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods. This course will help students gain insight into the application of advanced mathematics and guide them through derivation of appropriate integral equations governing the behavior of several standard physical problem.

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Created by Muhammad Usman Last updated Thu, 10-Aug-2023 English
What will i learn?
• What is the relationship between the integral equations and ordinary differential equations and how solved the linear and nonlinear integral equations by different methods with some problems which give rise to Integral Equations. This course will help students gain insight into the application of advanced mathematics and guide them through derivation of appropriate integral equations governing the behavior of several standard physical problems.

Curriculum for this course
6 Topics
Introduction to integral equations
0 Sub Topics
Fredholm integral equation
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Volterra integral equation
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Methods to solving integral equations
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Abel’s integral equations
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Eigenvalues and eigenvectors
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Packages
Title Lectures Price
Inquiry Based Session-1 lesson 1 25\$
Regular Package/ 4 lesson 4 100\$
Standard Package/8 Lesson 8 170\$
Fast Track/16 Lesson 16 300\$
Requirements
• Students should have a strong foundation in mathematics and a background in calculus.
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Description

Introduction to integral equations; Linear integral equations of the first kind, Linear integral equations of the second kind, Relationship between differential equation and Volterra integral equation, Neumannseries, Fredholm integral equation of the first kind with separable Kernels, Eigenvalues and eigenvectors. Iterated functions, Quadrature methods, Least square methods, Homogeneous integral equations of the second kind, Fredholm integral equations of the first kind, Fredholm integral equations of the second kind, Abel’s integral equations, Hilbert Schmidt theory of integral equations with symmetric Kernels, Regularization and filtering techniques.

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Hi, I am Dr. Muhammad Usman graduated from Peking University in the field of applied and computational mathematics with distinguished student. I also completed my postdoc in field of computational mathematics. I have numerous research articles published in well-reputed international journals. Therefore, I have rich experience in research and supervise project students. As for as my teaching career is concerned, I have 14 years’ experience in teaching. I have taught various courses at A-level, O-level, graduate and postgraduate level. In the recent past years, I involve extensively in teaching online at A-level and O-level. Positive feedback of my past students always encourage me to deliver more in the better way. I look forward to working together with you as partners in your child’s educational growth and development!!

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Includes:
• 00:00:00 Hours On demand videos
• 6 Topics , 0 Sub Topics
• Access on mobile and tv