MA302 : Abstract Algebra 1

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

03

Prerequisite

MA203MA204

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 should recognize the concept of (group) as one of the basic algebraic structures.
  • · The student should distinguish between groups that are retroactively and non-retroactively isomorphic.
  • · The student should explain the characteristics of direct multiplication in groups.
  • · To familiarize the student with the properties of some types of ordinary partial groups and exchange groups.

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 should be familiar with the algebraic structure (cliques) and distinguish between the different types in this construction.

2

The student should efficiently propose methods of proving isomorphism and contrastive isomorphism in the study of groups.

3

The student should be familiar with the theorems that explain the basic properties of direct multiplication in groups.

4

The student should describe the properties of the ordinary partial groups and the exchange group.

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 deduce the meaning of the group and its properties in multiple educational situations.

2

The student analyzes the isomorphism of different groups using certain functions.

3

The student should compare between internal direct multiplication and external direct multiplication in groups.

4

The student should associate the properties of the ordinary partial groups with the exchange group.

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 use the algebraic structures of groups through the binary process defined on them.

2

The student should distinguish the appropriate method for studying the relationship between the types of isomorphism in groups.

3

The student should distinguish between contrastively isomorphic groups and non-contrastively isomorphic groups.

4

The student should diagnose the usual partial groups and the exchange group.

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 with his colleagues.

2

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

3

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

Teaching and learning methods

The methods and methods used in teaching the course are:

  • · Lectures.
  • · Homework .
  • · 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)

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 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

Translated by: Dr. Ali Ahmed Daou and others