Math343

Form (6)

Course Description form

Faculties and departments requiring this course (if any): Faculty of Science/

     Department of Mathematics.

Objectives:  Prefer In points

Contents: Prefer In points

1- Direct product, and finitely generated abelian groups

2- Group action                                                  

3- Theory of p-groups, Sylow theorems and its applications

4- Ring ,Subrings, and factor rings, ring Homomorphism

5- Integral domain, Division rings, and fields

6- Polynomial rings, and irreducible polynomials rings

7- Unique Factorization domain

8- Fields theory and Quotient fields

Course Outcomes:

A-   Knowledge:

(i) Description of the knowledge to be acquired:

     The student will improve his logical thinking and learn the

      techniques of the proof of theorems. As a result he will be

      equipped with the methods of solved exercises.

(ii) Teaching strategies to be used to develop that knowledge:

     1- In class lecturing where the previous knowledge is linked

         to the current and future topics.

     2- It is expected that the students may apply the techniques

           learnt in this course to apply of the theorems of group

           theory.

     3- Homework assignments.

(iii) Methods of assessment of knowledge acquired

      1- In class short MCQ quizzes.

      2- Major and final exams.

B-Cognitive Skills:

(i) Cognitive skills to be developed

      1. The student will improve his logical thinking and learn the

          techniques of the proof of theorems. As a result he will be

         equipped with methods of solved exercises.

     2. It is expected that the students may apply the techniques

         learn in this course to apply of the theorems of group

         theory.

 (ii) Teaching strategies to be used to develop these cognitive

       skills

       1. Homework assignments.

       2. Problem solving.

       3. Case studies related to the course topics.

(iii) Methods of assessment of the cognitive skills

       1. In class short MCQ quizzes.

       2. Major and final exams.

       3. Checking the problems solved in the homework

           assignments.

C- Interpersonal skills and responsibilities:

     (i) Description of the interpersonal skills and capacity to carry

          responsibility to be developed

          1. Work independently and as part of a team.

          2. Mange resources, time and other members of the group.

          3. Communicate results of work to others.

      (ii) Teaching strategies to be used to develop these skills and

            abilities

            1. Writing group reports.

            2. Solving problems in groups.

       (iii) Methods of assessment of student's interpersonal skills and

            capacity to carry responsibility

            1. Grading homework assignments.

D- Analysis and communication:

        (i) Description of the skills to be developed in this domain.

             1. Use computational tools.

             2. Report writing.

        (ii) Teaching strategies to be used to develop these skills.

              1.  Report writing.

              2. Incorporating the use and utilization of computer in course

                   requirements.

        (iii) Methods of assessment of students numerical and

              communication skills.

              Test questions require interpretation of simple statistical

              information. Assessments of students assignment and

              project work include expectation of adequate of numerical

              and communication skills. Five percent of marks allocated for

              standard of presentation using ICT.

          Assessment methods for the above elements: Discussions, Homework,

          Periodic tests and final test

Text book:

        Title: A first course in abstract algebra

        Author: J.B. Fraleigh

        Publisher: 7^th Ed Addison – Wesley

Supplementary references: