MA405 : Applied number theory

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 is introduced to mathematical principles, theorems, the principle of good order of numbers, and also to learn about polygonal and pyramidal numbers and Catalan numbers.
  • · The student uses the division algorithm, its theorems, the greatest common divisor, its theorems and their applications.
  • · The student analyzes linear matches and some non-linear matches and their applications in other sciences.

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 acquires knowledge by learning the basic theories and concepts in number theory.

2

To identify the student to recognize the division algorithm and the greatest common denominator algorithm.

3

The student should explain some applications in issuing numbers in public institutions.

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

distinguish between mathematical concepts of polygonal and pyramidal numbers and Catalan numbers,

2

The student must prove and solve issues related to divisibility.

3

The student should solve the linear Diophantic equations.

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's ability to use the basic principles of number theory learned in this course to solve some numerical problems.

2

Apply the division algorithm to the Fibonacci numbers, Woldkas, and Ferman.

3

The student should use the Chinese remainder theorem to solve systems of linear matches.

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

Communicate and work as a team.

2

Objective criticism .

Teaching and learning methods

The methods and methods used in teaching the course are:

  • · Lectures.
  • · Discussion .

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

Written test (first)

An hour and a half

25 scheduled

25%

Sixth

Second Assessment

Written test (second)

An hour and a half

25 scheduled

25%

Eleventh

Final Evaluation

Written test (final)

Two hours

All Course

50%

End of Semester

Total

100°

100%

(References )

Bibliography

Publisher

Version

Author

Where it is located

Rapporteur notes

ELEMENTARY NUMBER THEORYWITH APPLICONS.

-

Thomas Koshy, Eisevierinc.

Electronic version

Course textbooks

Elementary Number Theory

-

Gareth A. Jones and Josephine M. Jones Springer

Electronic version

Help Books

number theory and its Applications

6th

H.Rosen Addison-Wesley publishing company. New York

Electronic version