Kingdom of Saudi Arabia
Ministry Of Higher Education
Majmaah University
Deanship of Quality assurance
and Human Development
Course Specification
Abstract Algebra MAT 343
)Summary)
1431/1432
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Course Specification
Institution: Faculty of Sciences at Zulfi
College/Department of Mathematics
A- Course Identification and General Information
1. Course title and code: Abstract Algebra MAT 343
2. Credit hours 4=3+1
4. Name of faculty member responsible for the course : Dr Rabah Abderrezak Kellil
5. Level/year at which this course is offered 6th level (third year)
6. Co-requisites for this course (if any)
Only The Sets Theory
7. Location if not on main campus
B- Objectives
1. Summary of the main learning outcomes for students enrolled in the course.
This course prepare the students to the theory of rings and fields which we can apply to many
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C- Course Description (Note: General description in the form to be used for the
Bulletin or Handbook should be attached)
1. Topics to be Covered
List of Topics
No of
Contact
Groups Theory
Weeks
hours
0. Some Elementary Topics on Set Theory
1. Groups
2. Examples of Groups (Elementary examples)
3.Elementary Properties of Groups
4. Subgroups
5. Cyclic Groups
6. Cosets and Lagrange’s Theorem
7. Normal subgroups and Quotient Groups
8. Homomorphisms
9. The Isomorphisms Theorems
10. The Symmetric Group
11. Groups action, Orbits and Stabilizers
12. Conjugacy
13. The Class Equation of a finite Group
14. Cauchy’s Theorem
15. The Structure of p-groups
16. The Sylow Theorems and Some Applications
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2. Course components (total contact hours per semester):
Lecture:
Tutorial:
4 2 hours
Laborator
y
Practical/Field
work/Internship
Other:
14 hours
3. Additional private study/learning hours expected for students per week. (This
should be an average : for the semester not a specific requirement in each week)
We can include three in four sessions (2 hours per session) of support for the students who
present some difficulties.
4. Schedule of Assessment Tasks for Students During the Semester
- An Exam at the middle of the semester (2 hours) and a final Exam (2 hours)
-Two Short Exams (30mn -60mn)
- A Student Talk
D- E Learning Resources.
1. Required Text(s)
2. Essential References
- A Course in Groups Theory : John F. Humphreys
3- Recommended Books and Reference Material (Journals, Reports,
etc) (Attach List)
- The Theory of Finite Groups: An Introduction Hans Kurzweil , Bernd
Stellmacher
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- An Introduction to the Theory of Groups Joseph J. Rotma
- Groups as Graphs by W. B. V. Kandasamy, F. Smarandache
4-.Electronic Materials, Web Sites etc
5- Other learning material such as computer-based programs/CD, professional
standards/regulations
E- Assessment
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