MA639 : Elective 1

Department

Department of Mathematics

Academic Program

Master in Applied Mathematics

Type

Compulsory

Credits

03

Prerequisite

Overview

  • The general objectives of the course are written in the form of outputs that the student is supposed to acquire after successful completion of the course.
  • The student is familiar with the logical systems of each of the five systems .
  • The student recognizes the postulates used for each format .
  • The student uses creative thinking and problem-solving methods to prove the proofs of the five systems theorems .

Intended learning outcomes

The target learning outcomes must be defined from the course, and each target learning output must also be given a number or symbol so that it can be referenced. Targeted learning outcomes include:

A. Knowledge & Understand)

At the end of the course, the student should be able to:

1

Defines the logical systems of each of the five systems.

2

Specifies the postulates used for each format.

3

Mentally draw the steps of the solution and discuss them before starting to write them down.

B. Mental (skills)

At the end of the course, the student should be able to:

1

Compare the strategies used in proofs.

2

Explains the extent to which the correct use of postulates for each format.

3

Discusses the strategies used in the proofs and proves all the proofs for each format.

C. Practical & Professional Skills)

At the end of the course, the student should be able to:

1

Logical formats are used to prove proofs.

2

He employs his knowledge of the postulates of each system to prove different proofs.

3

Designs proofs for each of the five systems and criticizes the validity of the strategies used in the proofs.

D. Generic and transferable skills)

At the end of the course, the student should be able to:

1

The student's ability to communicate orally and in writing in the course vocabulary.

2

The student's ability to work as a team, respect the opinions of his colleagues and his commitment to the ethics of scientific research.

3

The student's ability to use modern technology in searching for information about the course and self-learning and continuous.

Teaching and learning methods

  • · Lectures.
  • · Discussion and dialogue
  • · Research & Inquiry

Methods of assessments

The dates on which the assessment is conducted must be determined during the academic year/semester.

Rating No.

Evaluation methods

Evaluation Duration

Evaluation weight

Percentage

Evaluation Date

(Week)

First Assessment

Written test (essay)

Two hours

40 scheduled

40%

Sixth

Second Assessment

Scientific activities (e.g. writing a report or making a presentation) and making a presentation

15-20m

10scheduled

10%

Throughout the semester

Final Evaluation

Final written exam (essay)

3 hours

50 scheduled

50%

End of Semester

Total

100°

100%

(References)

Bibliography

Publisher

Version

Author

Where it is located

Logic for

Mathematicians ,

Cambridge University

Press1978

The first

A. G. Hamilton

Faculty Photography Office

Completeness of Propositional Logic

sciences. Institute of technology. Florida 2001

Second

Ryan Satisfier

Faculty Photography Office

Problem Course in Mathematical Logic,

University, Peterborough, Ontario, Canada , 1991.

The first

Stefan Bilaniuk

Faculty Photography Office

Internet Sites

http//www-history.mcs.st andrews.ac.uk/Mathematicians/Hilbrt.html

http://www-history.mcs.st andrews.ac.uk/Mathematicians/Hilbert.html

http://www-history.mcs.st andrews.ac.uk/Mathematicians/Kleene.html