MM304 : real analysis 2

Department

Department of Mathematics

Academic Program

Bachelor in Mathematics

Type

Compulsory

Credits

03

Prerequisite

MM303

Overview

It studies some laws in the derivation of real functions in a simplified analytical way. It effectively deduces methods of analyzing mean value theorems and Rolle's theory. It explains and analyzes mathematical problems related to calculus. He studies the famous sequences and series, proves Riemann integrations, analyzes their properties, and analyzes Riemannian integration theories brilliantly and accurately.

Intended learning outcomes

Deduce the laws of calculus and analyze them correctly It explains the mean value theorem and Rolle's theorem thoroughly. Correctly summarize the operations of finite integration Skillfully summarizes the Riemannian integration theories It analyzes the properties of the Riemannian integral in an interesting way. It balances presentation, analysis, and knowledge of the laws of calculus with precision. Prove the laws of calculus and integration with reality and draw results accurately. Real functions are derived in proving the mean value theorem He applies the properties of the finite integral to the Riemannian integral He relates the properties and theorems of Riemannian integration skillfully.

Teaching and learning methods

Lectures. Homeworks Pure research, analysis and discussions shared

Methods of assessments

midterm exam 30% oral test 10% 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)