MA303 : Real Analysis 2

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

03

Prerequisite

MA208MA211

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:

  • · Identify the basic concepts of differentiation and continuity of real functions and derivatives of higher order and their applications.
  • · Identify the basic concepts of integration of real functions and their theorems.
  • · The student discusses uniform convergence, continuity, uniform convergence, differentiability, and complementarity.

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

To introduce the student to the concepts of the derivative of real functions and their relationship to the maximum and minor limits.

2

The student should explain the meaning of the integratability of functions.

3

The student should describe the relationship of uniform convergence to calculus.

B. Mental (skills)

The mental skills that the student acquires on analysis after studying the course successfully, and the ability to think creatively, identify and solve problems are:

1

The student should analyze the given problems on the differentiation of functions.

2

The student should distinguish between the given and the required to compare the theories of complementarity and their combinations.

3

The student should propose ways to solve the uniform convergence.

C. Practical & Professional (Skills)

The skills that the student must acquire when studying the course successfully, in order to enable him to use what he has studied in professional applications, are:

1

The student should use the theorems and rules of derivation in solving the exercises.

2

The student should diagnose integralable and non-integralable functions.

3

The student should distinguish between convergence and regular convergence.

D. Generic (and transferable skills)

General skills or skills that can be used in the fields of work that the student must acquire when studying the course successfully, so that they can be applied in any field are:

1

Ability to communicate orally and in writing with colleagues.

2

Ability to work in a team ,

Teaching and learning methods

The methods and methods used in teaching the course are:

  • · Lectures.
  • · Panel Discussions .

Methods of assessments

The types of assessment used in the process of teaching and learning the course to ensure that they achieve learning outcomes are:

Rating No.

Evaluation methods

Evaluation Duration

Evaluation weight

Percentage

Rating Date (Week)

First Assessment

First written exam

An hour and a half

25 scheduled

25%

Sixth

Second Assessment

Second written test

An hour and a half

25 scheduled

25%

Eleventh

Final Evaluation

Final Exam

Two hours

All Course

50%

End of Semester

Total

100 degree

100%

(References )

Bibliography

Publisher

Version

Author

Where it is located

Rapporteur notes

Course Professor

-

Course Professor

Classroom

Textbooks

Introduction to real analysis

-

-

R.G.Bartle

Department Library

Electronic version

Real Analysis Helpbooks

-

-

Dr. Ramadan Juhayma

Department Library

Leptis Library