University :Mansoura University |
Faculty :Faculty of Educations |
Department :Mathematics Department |
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| 1- Course data :- |
| | Code: | 07 | | Course title: | Algebra | | Year/Level: | ثالثة رياضيات | | Program Title: | - ليسانس الآداب والتربية تعليم أساسي دراسات اجتماعية
| | Specialization: | | | Teaching Hours: | Theoretical: | 4 | Tutorial: | 4 | Practical: | |
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| 2- Course aims :- |
| - To prepare the students for high level of linear algebra. It is intended for undergraduate students taking an linear algebra class at the junior level for mathematicians, physicians, statistics and computer science students. As a prerequisite to the linear algebra is the general algebra course "Math(112)" given in the first year and abstract algebra 1 "Math(212)" given in the second year. This course is basic for undergraduate students and is a prerequisite to abstract algebra 2.
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
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| 1 | Systems of linear equations and using Gaussian Elimination and Gauss-Jordan Elimination methods to solve a system of linear equations | | | 2 | Matrices defined over a field, operations on matrices, Echelon form | | | 3 | Algebra of square matrices, inverse matrix, Another method to solve a system of linear equations. | | | 4 | What is a vector space, subspaces, intersection and addition of subspaces | | | 5 | Linear combination, basic and dimension of a vector space. | | | 6 | Linear transformations and linear operators and its properties. | | | 7 | Transformation from basis to another basis. | | | 8 | Transformation from basis to another basis. | | | 9 | Similar matrices and diagonalization for square matrices. | | | 10 | Applications | |
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| 5- Teaching and learning methods :- |
| | S | Method |
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| Lectures | | An extensive set of home exercises. | | Internet research |
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| 6- Teaching and learning methods of disables :- |
| No data found. |
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| 7- Student assessment :- |
| A. Timing |
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| B. Degree |
| | No | Method | Degree |
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| 1 | Mid_term examination | | | 2 | Final_term examination | 90 | | 3 | Oral examination | 10 | | 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 |
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| 1 | Lecture Notes | | | 2 | Linear Algebra, by Symour Lipschuts | | | 3 | Linear algebra, by Serge Lang | | | 4 | Linear algebra, by Jim Hefferon | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| Systems of linear equations and using Gaussian Elimination and Gauss-Jordan Elimination methods to solve a system of linear equations | | | Matrices defined over a field, operations on matrices, Echelon form | | | Algebra of square matrices, inverse matrix, Another method to solve a system of linear equations. | | | What is a vector space, subspaces, intersection and addition of subspaces | | | Linear combination, basic and dimension of a vector space. | | | Linear transformations and linear operators and its properties. | | | Transformation from basis to another basis. | | | Transformation from basis to another basis. | | | Similar matrices and diagonalization for square matrices. | | | Applications | |
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| Course Coordinator(s): - |
| - Eldesouqy Eltamemy Elsaid Rahmo
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| Head of department: - |
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