University :Mansoura University |
Faculty :Faculty of Educations |
Department :Department of Educational Psychology |
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| 1- Course data :- |
| | Code: | 03 | | Course title: | Algebra | | Year/Level: | رابعة رياضيات | | Program Title: | - بكالوريوس العلوم والتربية تعليم أساسي رياضيات
| | Specialization: | | | Teaching Hours: | Theoretical: | 4 | Tutorial: | 4 | Practical: | |
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| 2- Course aims :- |
| - understand basic concepts, such as groups
- The course aims to provide an introduction to abstract algebra, concentrating on elementary
group theory.
- be familiar with standard examples of groups
- be able to construct Cayley tables for small groups
- understand the notion of subgroup
- be able to apply the subgroup test
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
|---|
| 1 | SETS AND Relations : Review of basic concepts. | | | 2 | Equivalence relations. | | | 3 | mappings - Composition of mappings .Types of mappings | | | 4 | Binary operations . algebraic systems - definition of semigroup. | | | 5 | Axioms of group theory and simple consequences | | | 6 | cayley table. groups of finite order | | | 7 | Cyclic Groups, Orders of Elements | | | 8 | -Subgroups | | | 9 | Homomorphisms, Isomorphisms | | | 10 | Cosets - Normal Subgroups | |
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| 5- Teaching and learning methods :- |
| | S | Method |
|---|
| Class sessions, surgeries and laboratories together with some handouts. |
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| 6- Teaching and learning methods of disables :- |
| No data found. |
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| 7- Student assessment :- |
| A. Timing |
| | No | Method | Week |
|---|
| 1 | Final written examination (1000%) | |
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| B. Degree |
| | No | Method | Degree |
|---|
| 1 | Mid_term examination | | | 2 | Final_term examination | 100 | | 3 | Oral examination | | | 4 | Practical examination | | | 5 | Semester work | | | 6 | Other types of asessment | | | Total | 100% |
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| 8- List of books and references |
| | S | Item | Type |
|---|
| 1 | J. B. Fraleigh, A First Course in Abstract Algebra, 5th edition, Addison-Wesley. | | | 2 | Joseph J.Rotman, An introduction of the Thory of Groups, Wm.C.Brown. | | | 3 | Modern Algebra ,An Introduction,John R Burbin,John Wiley&sons,inc. | | | 4 | Abstract Algebra, David M.Burton , Wm.C.Brown. | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| SETS AND Relations : Review of basic concepts. | | | Equivalence relations. | | | mappings - Composition of mappings .Types of mappings | | | Binary operations . algebraic systems - definition of semigroup. | | | Axioms of group theory and simple consequences | | | cayley table. groups of finite order | | | Cyclic Groups, Orders of Elements | | | -Subgroups | | | Homomorphisms, Isomorphisms | | | Cosets - Normal Subgroups | |
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| Course Coordinator(s): - |
| - Mustafa Abdul-Hamid Mohamed Mehanna
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| Head of department: - |
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