MA309 : Abstract Algebra 2

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

03

Prerequisite

MA205MA302

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 concept of (ring) as one of the basic algebraic structures.
  • · Identify the correct region and the domain based on the correct area.
  • · Identify ideals and their types, isomorphisms and limits in rings and their theorems.

Intended learning outcomes

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 concept of (ring) as one of the basic algebraic structures.

· Identify the correct region and the domain based on the correct area.

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

Expanding the understanding of algebraic structures (rings) and their overlap with other branches of mathematics.

2

The student should recognize the correct area and its properties.

3

To recognize the importance of isomorphism and contrastive isomorphism in understanding the algebraic structure of rings with a background of importance in the topic of groups

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 list the different types of episodes.

2

The student should deduce the types of ideals and their applications.

3

The student should compare between rings and boundaries.

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 design the appropriate method to study the relationship between the different types in the one algebraic structure (rings).

2

The student should use the types of ideals and isomorphic theorems in the rings

3

The student should diagnose the field based on the correct area.

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 work as a team.

2

Ability to communicate in writing and orally.

3

Time management.

Teaching and learning methods

The methods and methods used in teaching the course are:

  • · Lecture.
  • · Assignments outside lecture time.
  • · Additional readings.
  • · Dialogue and discussion to solve problems and answer questions.

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)

Reviews

First Assessment

Written test (first)

An hour and a half

25 scheduled

25%

Sixth

Solve exercises without assigning a percentage of the assessment

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 degree

100%

(References )

Bibliography

Publisher

Version

Author

Textbooks

Abstract algebra

Introduction to Abstract Algebra

The first course in abstract algebra

New United Book House

University of Tripoli

University of Tripoli

-

Dr. Ramadan Juhayma Dr. Ali Saqr

Doctor Ali Muhammad Ibrahim Doctor Tawfiq Alboulati

Doctor Muhammad Abdul qadir Ibrahim

John B. Farlin

Translate:

Doctor Ali Ahmed Daw Doctor Khalil Ismail Taha

Dr. Radi Ibrahim Ali