MA211 : Real Analysis 1

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

03

Prerequisite

MA202

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:

  • · The student recognizes the properties of real numbers.
  • · The student describes the real numbers topology and recognizes the convergence of sequences.
  • · The student discusses the different ways to prove continuous function theorems regularly.

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

Understand the basic properties of the real number field and understand the most important theories in the real number field.

2

Knowledge of the topology of real numbers, sequences and series.

3

Understand continuity and regular continuation.

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

Motivate the student to think about ways and prove some theories and formulate them in a way that is far from complexity.

2

The student connects the convergence of sequences and sequences to the topology of real numbers.

3

Understand continuity theorems and their applications.

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

lustrate in a simple and interesting way the main topics of analysis on real numbers and on the elements of Euclidean space noni dimension.

2

It helps the student to think logically to reach the proven results by following important theories in the topology of real numbers.

3

Linking the concept of continuity to some concepts of real number topology.

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

The student's ability to communicate and communicate in writing and orally with colleagues.

2

The student's ability to self-learning and continuous learning.

3

Time management.

Teaching and learning methods

  • The methods and methods used in teaching the course are:
  • · Use the blackboard to explain the lectures.
  • · Adopting a book as a reference for a student.
  • · Develop exercises and questions so that the student can think about the ways of solving and not rely only on direct explanation by the professor.
  • · Using the smart board and recording electronic lectures in light of the current circumstances of the pandemic, as well as putting hard copies for a student so that he can view them in the absence of the Internet .

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

20%

Sixth

Second Assessment

Second written exam

An hour and a half

25 scheduled

20%

Eleventh

Third Assessment

Homework

continuous

Determined by the professor

10%

Before the final exam

Final Evaluation

Final written exam

Two hours

All Course

50%

End of Semester

Total

100 degree

100%

(References )

Bibliography

Publisher

Version

Author

Where it is located

Textbooks

Real Analysis

New Book House United

2

Dr. Ramadan Juhayma

Dar Al Hekma Library University Sales

Help Books

Introduction to Analysis (Calculus Theory)

Every other

Important books in English

University of Tripoli

-

Dr. Ramadan Juhayma

Doctor Ahmed Alsadiq Alqarmani

Dar Al Hekma Library University Sales