Faculty of Education Zulfi
Institution:
Academic Department : Mathematics
Mathematics Undergraduate Program
Program :
Group Theory – Math343
Course :
Norah Ahmed Al- Dafes
Course Coordinator :
Dr. Nadia Ali Soultan (Head of the Department)
Program Coordinator :
Course Specification Approved Date : 12/5/1435
A. Course Identification and General Information
Group Theory
Course Code: Math 343
3 hours weekly (2 Theoretical + 2 Training)
2- Credit hours :
3- Program(s) in which the course is offered: Math. Program
4- Course Language : Arabic
2. 5- Name of faculty member responsible for the course: Norah Ahmed AlDafes
3. 6- Level/year at which this course is offered : Sixth Level
1. 1- Course title :
7- Pre-requisites for this course (if any) :
 Linear Algebra – Math 241 + Number Theory – Math 242
8- Co-requisites for this course (if any) :
 No need
9- Location if not on main campus :
 No need
10- Mode of Instruction (mark all that apply)
A- Traditional classroom
B- Blended (traditional and online)
D- e-learning
E- Correspondence
F- Other
What percentage?
What percentage?
What percentage?
What percentage?
What percentage?
100 %
….. %
….. %
….. %
….. %
Comments :
 ...................................................................
B. Objectives:
What is the main purpose for this course?
1- Develop the student's ability to abstraction.
2- Develop the student's ability to the logical thinking .
3- Understand the main topics in group theory.
4- The student's ability of using some theorems to determine whether the group is
simple or not.
5- Supply the student with a background which help her to follow the advanced
mathematical courses.
Briefly describe any plans for developing and improving the course that are
being implemented :
1- Directing students to search in the Internet.
2- Directing students to do researches for some topics associated with the course .
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C. Course Description:
1. Topics to be Covered:
List of Topics
No. of
Weeks
Contact
Hours
Introduction - Definition of the Group and examples – Subgroups and
Cyclic Groups.
Cosets and Lagrange Theorem .
2
8
1.5
6
Normal Subgroups – Quotient Groups and Simple Groups .
2.5
10
Homomorphism , Isomorphism and Automorphism Groups.
1.5
6
4
16
3.5
14
Isomorphism Theorems – Cayley Theorem and its generalization –
Symmetric Groups ..
Groups Action on Sets - Sylow Theorems – Direct Product .
2. Course components (total contact hours and credits per semester):
Lecture
Tutorial Laboratory Practical
Other
Total
Contact
Hours
60 h
30 h
............
30 h
............
60 h
Credit
45 h
30 h
............
15 h
............
45 h
3. Additional private study/learning hours expected for students per
week:
Home works, learning papers, self-learning and others.
3 hours
4. Course Learning Outcomes in NQF Domains of Learning and
Alignment with Assessment Methods and Teaching Strategy:
NQF Learning Domains
And Course Learning Outcomes
Course Teaching
Strategies
1.0 Knowledge
1.1 Develop the student's ability to abstraction.
Academic
Understand
the
main
topics
in
group
theory
1.2
lectures,
1.3 Use some theorems to determine whether the group is Research and
simple or not.
Investigation,
1.4 Supply the student with a background which help Discussion and
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Course
Assessment
Methods
Written tests,
Work papers,
Oral tests and
Solving
Homework .
NQF Learning Domains
And Course Learning Outcomes
her to follow the advanced mathematical courses.
2.0 Cognitive Skills
2.1 Distinguish between mathematical concepts.
2.2 Induce mathematical equations.
3.0 Interpersonal Skills & Responsibility
3.1 Contact her class mates.
3.2 Objective criticism.
Course Teaching
Strategies
Conversation.
Homeworks.
Collaborative
learning .
Self-learning .
Research .
Written tests.
Oral tests .
Evaluate
Researches .
group studying Evaluate the
papers .
group works
Workshops
and individual
works .
4.0 Communication, Information Technology, Numerical
Training in
4.1 How to Induce mathematical equations.
4.2 Understanding of mathematical concepts.
Course
Assessment
Methods
Lectures .
Learning by
model
Evaluating
Homeworks .
Evaluating
Researches
not applied
not applied
5.0 Psychomotor
5.1
not applied
5. Schedule of Assessment Tasks for Students During the Semester:
Week Due
Proportion of
Total Assessment
The sixth week
20%
Assessment task
1 Test of term duties (midterm).
2 Participation during the lecture (evaluate the effort)
and giving exercises.
3 The final test.
During the
semester
End of the
semester
20%
60%
D. Student Academic Counseling and Support:
4 lectures ( official hours) weekly.
E. Learning Resources:
1. List Required Textbooks :
 Topics in Algebra, I. N. Hurstin, Translation: Dr. Fawzi AlZukair and Dr. Ali AlSuhaibani, King
Page 4 Of 6
Saud University, 2nd Edition, 1420 .
 Introduction to Group Theory, Dr. Abdullah AlJawey and Dr. Mohammed ALGadey, ElRoshid
stationary, 1425.
2. List Essential References Materials :
 Group Theory, Dr. Maaroof Samhan and Dr. Fawzi AlZukair, Dar AlKhuraiji for Publication and
Distribution, 1st Edition, 1427.
 Introduction to group theory, Faleh AlDosari and Abdul Hameed Beck, Umm Al Qura
University, 1997 .
3. List Recommended Textbooks and Reference Material :
 There is no.
4. List Electronic Materials :
 http://www.mathramz.com/xyz/index.php.
 http://math.niu.edu.
 http://ntnu.no/conservation.
5. Other learning material :
 There is no.
F. Facilities Required:
1. Accommodation
 Hall (5 m x 7 m), 53 Chairs.
2. Computing resources
 There is no.
3. Other resources
 not applied.
G. Course Evaluation and Improvement Processes:
1. Strategies for Obtaining Student Feedback on Effectiveness of Teaching:
 Ask questions during lectures.
 Course evaluation questionnaire .
 Students acceptance questionnaire about teaching , learning and improving techniques.
 Good and weak students meeting .
2. Other Strategies for Evaluation of Teaching by the Program/Department
Instructor :
 Course evaluation model.
 Annual reports sufficiently prepared by the head of department.
3. Processes for Improvement of Teaching :
 Application of modern technologies in education.
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 Application of e-learning.
 Programs and trainings to improve teaching and learning skills .
4. Processes for Verifying Standards of Student Achievement
 Review papers that have been checked by the member .
 External evaluator.
5. Describe the planning arrangements for periodically reviewing course
effectiveness and planning for improvement :
 The periodic meeting of the department members to identify strengths and weaknesses to be
reinforced and addressed .
 Evaluate the course.
 Review learning plans.
 Viewing and knowledge of all new about the course .
Course Specification Approved
Department Official Meeting No ( 8 ) Date 12/5/1435 H
Course’s Coordinator
Dr. Norah Ahmed al-Dafes
Name :
Signature : Norah al-Dafes
25/12/ 1435 H
Date :
Page 6 Of 6
Department Head
Dr. Nadia Ali Soultan
Name :
Signature :
Nadia Soultan
25/12/ 1435 H
Date :