University :Mansoura University |
Faculty :Faculty of Science |
Department :Mathematics Department |
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| 1- Course data :- |
| | Code: | 11202 | | Course title: | جبر خطى وهندسة | | Year/Level: | ثانية رياضه | | Program Title: | | | Specialization: | | | Teaching Hours: | Theoretical: | 4 | Tutorial: | 4 | Practical: | |
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| 2- Course aims :- |
| - It is intended for undergraduate students taking an linear algebra class at the junior level for mathematicians, physicians and statistics and computer science students . This course is basic course for undergraduate students and is a prerequisite to abstract algebra 2.
- This course discuss and study the basic geometric properties and equations of straight lines , planes and spheres in three dimension and central quadrics in this way.
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
|---|
| 1 | What is a field and examples of the well-known fields. | | | 2 | Matrices defined over a field, operations on matrices, Echelon form | | | 3 | Algebra of square matrices, inverted matrix, and system of linear equastions. | | | 4 | What is a vector space, subspaces, intersection and addition of subspaces. | | | 5 | Linear combination, Basis and Dimension of a vector space. | | | 6 | Linear transformations and its properties and linear operators and its proprties. | | | 7 | Transformation from basis to another basis | | | 8 | Eigenvalues and eigenvectors. | | | 9 | Similar matrices and diagonalization for square matrices. | | | 10 | Applications. | | | 11 | Rectangular , spherical and cylinderical coordinates | | | 12 | straight line in space | | | 13 | the plane | | | 14 | surfaces in space ( sphere-cone- cylinder) - some other quadric surfaces | | | 15 | The general equation of the second degree in three variables | |
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| 5- Teaching and learning methods :- |
| | S | Method |
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| Lecture 4 hours per week | | Toturial 4 hours per week | | An extensive set of home exercises |
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| 6- Teaching and learning methods of disables :- |
| - -
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| 7- Student assessment :- |
| A. Timing |
| | No | Method | Week |
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| 1 | Oral Examination | 14 | | 2 | Final Examination | 15 |
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| B. 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- List of books and references |
| | S | Item | Type |
|---|
| 1 | Lecture Notes | | | 2 | H. Anton, Elementary Linear Algebra, Wiley 1994 | | | 3 | J.B. Fraleigh & R.A. Beauregard, Linear Algebra, Addison-Wesley 1995 | | | 4 | http://joshua.smcvt.edu/linearalgebra/ | | | 5 | Analytic geometry in space | | | 6 | "Analytical Solid geometry ",Shanti Narayan ,1987 | | | 7 | R.B.J.T. Allenby, Linear Algebra, Butterworth Heinemann, 1997 | | | 8 | http://www.math.unl.edu/~tshores1/linalgtext.html | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| What is a field and examples of the well-known fields. | | | Matrices defined over a field, operations on matrices, Echelon form | | | Algebra of square matrices, inverted matrix, and system of linear equastions. | | | What is a vector space, subspaces, intersection and addition of subspaces. | | | Linear combination, Basis and Dimension of a vector space. | | | Linear transformations and its properties and linear operators and its proprties. | | | Transformation from basis to another basis | | | Eigenvalues and eigenvectors. | | | Similar matrices and diagonalization for square matrices. | | | Applications. | | | Rectangular , spherical and cylinderical coordinates | | | straight line in space | | | the plane | | | surfaces in space ( sphere-cone- cylinder) - some other quadric surfaces | | | The general equation of the second degree in three variables | |
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| Course Coordinator(s): - |
| - Awatef Mohamed Abd Elghany Shahin
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| Head of department: - |
| Ahmed Habeb Mohamed Nageb Elbassiony |
