MA204 : Fundamental of mathematics

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

03

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:

  • · The student discusses the different ways to prove logical problems and logical statements.
  • · Used on the rules of inference and methods of mathematical proof.
  • · The student demonstrates the difference between relationships and functions and recognizes countable and non-countable groups.
  • · Creative thinking and problem-solving methods are used to prove the proofs of ordered set theorems.

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 knows the basic logical concepts.

2

Enumerates the different ways of demonstrating (strong, weak, direct, indirect, against, .....).

3

The student is introduced to countable and non-countable relationships, functions, and sets.

4

The student explains the generalized Cartesian grandfather to understand ordered sets.

I 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 compares the right and wrong issues logically.

2

The student concludes that there is a solution to the theorem before starting to solve it.

3

The student understands Cantor's theorem and its applications to countable sets.

4

The student interprets the equivalent images of the postulate of choice and understands Zorn's preface.

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 uses logical phrases and links.

2

He employs his knowledge of the components of logic to prove various proofs.

3

The student distinguishes between the relationship of equivalence and the varieties of equivalence.

4

The student distinguishes between the ordered groups and their types.

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

Work in a team.

2

Solve problems by collecting and arranging information.

3

Use of the Internet and the library.

4

Time management

Teaching and learning methods

The methods and methods used in teaching the course are:

  • · Lectures.
  • · Panel discussions.
  • · Collection of information .

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 test

An hour and a half

25 scheduled

20%

Eleventh

Third Assessment

Homework

continuous

Determined by the professor

10%

Semifinals

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

A TRANSITION TO ADVANCED MATHEMATICS

-

7

Douglas Smith

Maurice Eggen

Richard St . Andre

PDF version

Auxiliary Books

Set theory

New Book House United

1

Dr. Ali Saleh Al-Ruwaini

Dr. Ramadan Juhayma

Department Library