MM409E : Integral equations

Department

Department of Mathematics

Academic Program

Bachelor in Mathematics

Type

Elective

Credits

03

Prerequisite

Overview

The student is acquainted with the initial concepts of the integral equation, the deduction of the integral equations, the Volterra and Friedholm equation, the classification of the integral equation according to the nucleus, the development of the connection between differential equations and the integral equations, the use of Leibniz's rule to find the derivative of the integral equations, and the realization of the state nucleus method in solving the Voltaire equation and transforming The issue of initial values ​​to the Volterra and Friedholm equation and vice versa

Intended learning outcomes

The student knows the types of integral equations and methods of solving them, distinguishes between methods of solving the integral equation, determines the type of integral equation and the method of solving it, classifies the integral equations with respect to the nucleus, and converts the integral equation into a matter of initial values.

Teaching and learning methods

1 by reading and learning. 2. Using group work to solve the integral equation. . 3 Through some household chores and activities

Methods of assessments

First midterm exam 20%, second midterm exam 20%, final exam 60%

(IS100)
General Mathematics 1 (MM101)
Arabic Language 1 (AR100)
PRINCIPLES OF COMPUTER 1 (CS100)
Introduction to Statistics Course (ST101)
GENERAL PSYCHOLOGY (GS100)
FOUNDATIONS OF EDUCATION (GS101)
Planar Analytic Geometry (MM103)
Arabic Language 2 (AR101)
General Mathematics 2 (MM102)
spatial engineering (MM104)
GENERAL TEACHING METHODS (GS201)
EVOLUTIONARY PSYCHOLOGY (GS200)
Introduction to Probability Course (ST102)
PRINCIPLES OF COMPUTER 2 (CS101)
Linear Algebra 1 (MM105)
(IS101)
General Mathematics3 (MM201)
sets theory (MM203)
Linear Algebra 2 (MM205)
(MM206)
EDUCATIONAL PSYCHOLOGY (GS203)
FOUNDATIONS OF CURRICULUM (GS202)
Arabic Language 3 (AR213)
vector analysis (MM204)
dynamics (MM207)
Methods of teaching mathematics (MM215)
Mathematical Statistics Course (ST202)
Arabic Language 4 (AR216)
EDUCATIONAL RESEARCH METHODS (GS301)
Ordinary differential equations 1 (MM202)
School Mathematics 1 (MM309)
ASSESSMENT AND EVALUATION (GS302)
Ordinary differential equations 2 (MM301)
Mathematical logic (MM307)
Composite analysis 1 (MM305)
NUMERICAL ANALYSIS (MM308)
Word processing (CS202)
School Math2 (MM310)
Real analysis1 (MM303)
Abstract algebra 1 (MM302)
TEACHING AIDS (GS303)
SCHOOL MANAGEMENT (GS400)
Complex analysis 2 (MM306)
real analysis 2 (MM304)
Abstract algebra 2 (MM403)
TEACHING PRACTICE 1 (GS402)
linear programming (MM405E)
Functional analysis (MM406E)
History of mathematics (MM407E)
Operations Research (MM408E)
Integral equations (MM409E)
(GS401)
Practical education 2 (GS403)
graduation project (MM404)
Partial differential equations (MM401)