MA602 : Real Analysis

Department

Academic Program

Type

Compulsory

Credits

Prerequisite

Overview

The general objectives of the course in the form of outputs that the student is supposed to acquire after successful completion of the course are:

· To familiarize the student with the basic concepts of the real number system, metric spaces, Liebig's measurement, scalar functions and non-standard sets.

· The student should acquire the skill of using the Liebig integral of some functions and some concepts of integration and differentiation.

· The student should associate some functions with finite fragmentation, absolute communication, convergence, and study the properties of some spaces.

Intended learning outcomes

The targeted learning outcomes of the course are:

A. Knowledge & (Understand)

The basic information and key concepts that a student must acquire after successfully studying the course in the fields of knowledge and understanding are:

1	The student is introduced to the basic concepts of the course.
2	The student is introduced to the concept of measurement and the integration of Libeq.
3	Understand the meaning of abstract measurement integration and recognize its uses.

B. Mental (skills)

The mental skills that the student acquires on analysis after studying the course successfully are:

1	Analyzes issues that depend on the basic concepts of the course.
2	The student distinguishes the difference between the Riemann integral and the Libeq integral.
3	The student distinguishes spaces And its applications and the student gets acquainted with the theory of Bair and its applications.

C. Practical & Professional (Skills)

The skills that a student must acquire when studying the course successfully are:

1	The student's ability to link basic concepts to related topics.
2	The student acquires the skill of using the Libig-integral of finite and non-negative functions.
3	The student uses the properties of some spaces and theories in the applications associated with them.

D. Generic (and transferable skills)

The general skills or skills that can be used in the fields of work that the student must acquire when successfully studying the course are:

1	The student will be able to use computers and the Internet.
2	The student is able to accumulate information to solve the given problems.
3	The student will be able to familiarize themselves with the applications of the Cantor group.

Teaching and learning methods

The methods and methods used in teaching the course are:

· Lectures

· Panels

Methods of assessments

The types of assessment used in the process of teaching and learning the course are:

Rating No.	Evaluation methods	Evaluation Duration	Evaluation weight	Percentage	Rating Date (Week)
First Assessment	First midterm exam	3 hours	25 scheduled	25%	Sixth
Second Assessment	Second Midterm Exam	3 hours	25 scheduled	25%	Eleventh
Final Evaluation	Final Exam	4 hours	All Course	50%	End of Semester
Total			100 degree	100%

Bibliography	Publisher	Version	Author	Where it is located
Textbooks Real Analysis	Macmillan p shipping	Second	H. L. ROYDEN	U.S.A
Help Books Principals of Mathematical Analysis	McGraw Hill	Second	Walter Rudin	U.S.A
Scientific Journals	elective	-	elective	elective
Internet Sites	elective	-	elective	elective

Ordinary Differential Equations (MA601)
Real Analysis (MA602)
Complex Analysis (MA603)
Linear algebra (MA604)
Functional analysis (MA607)
Partial Differential Equations (MA608)
Elective 1 (MA639)
Numerical analysis (MA609)
Elective 2 (MA641)
Elective 3 (MA654)
Technical Writing (TW600)
Thesis (MA699)