University :Mansoura University |
Faculty :Faculty of Science |
Department :Mathematics Department |
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| 1- 1- Course data :- |
| | Code: | 11217 | | Course title: | جبر مجرد (1) | | Year/Level: | ثانية رياضه | | Program Title: | | | Specialization: | | | Teaching Hours: | Theoretical: | 4 | Tutorial: | 4 | Practical: | |
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| 2- 2- Course aims :- |
| - The programme unit aims to introduce the basic ideas of groups and rings with a good range of examples so that the student has some familiarity with the fundamental concepts of abstract algebra and a good grounding for further study. As a prerequisite to the abstrict algebra 2which will in given in the third year for mathematicains.
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| 3- 3- Course Learning Outcomes :- |
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| 4- 4- Course contents :- |
| | No | Topics | Week No. |
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| 1 | Rings and fields. | | | 2 | Maps, kinds of maps, operations, groupoids and all essencial kinds of groupoids | | | 3 | Groups and subgroups and its properties | | | 4 | Cyclic groups. | | | 5 | Symmetric groups and permutation groups | | | 6 | Normal subgroups and factor groups | | | 7 | Homomorphism theorems of groups and Automorphisms group. | | | 8 | Direct product and inner product of groups. | | | 9 | p-Groups and Sylow Theorems. | |
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| 5- 5- Teaching and learning methods :- |
| | S | Method |
|---|
| Lectures 4 hours per week | | Toturial 2 hours per week | | An extensive set of home exercises |
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| 6- 6- Teaching and learning methods of disables :- |
| - -
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| 7- 7- Student assessment :- |
| - Timing |
| | No | Method | Week No. |
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| 1 | Oral Examination | 15 | | 2 | Final Examination | 16 |
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| - Degree |
| | No | Method | Degree |
|---|
| 1 | Mid_term examination | 0 | | 2 | Final_term examination | 90 | | 3 | Oral examination | 10 | | 4 | Practical examination | 0 | | 5 | Semester work | 0 | | 6 | Other types of asessment | 0 | | Total | 100% |
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| 8- 8- List of books and references |
| | S | Reference | Type |
|---|
| 1 | Lecture Notes | | | 2 | Elements of Abstract Algebra, by Dean | | | 3 | Algebra, by Serge Lang. | | | 4 | http://www.math.niu.edu/~beachy/aaol/ | | | 5 | John B. Fraleigh,A first cours in Abstract algebra, Addidon-Wesley | |
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| 9- 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| Rings and fields. | | | Maps, kinds of maps, operations, groupoids and all essencial kinds of groupoids | | | Groups and subgroups and its properties | | | Cyclic groups. | | | Symmetric groups and permutation groups | | | Normal subgroups and factor groups | | | Homomorphism theorems of groups and Automorphisms group. | | | Direct product and inner product of groups. | | | p-Groups and Sylow Theorems. | |
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| Course Coordinator(s): - |
| - Soad Abd Elmohsen Abd Elazeez Elsawah
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| Head of department: - |
| Ahmed Habeb Mohamed Nageb Elbassiony |
