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Course Title |
Analytical Geometry |
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Year of study, speciality |
1, speciality “Mechanics and mathematical modeling” |
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Semester of study |
2 |
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Credit points |
4 |
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Lecturer |
Senior Lecturer, Konstantin Stanislavovich Filipovic, Department of Geometry, Topology and Methods of Teaching Mathematics
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Goals of studying |
Mastering new spaces compared to the elementary geometry: multidimensional Euclidean and affine; studying first and second order figures in these spaces. Mastering the main method of research in the analytical geometry – the coordinate method. Acquiring a sufficient volume of knowledge, skills and abilities by students in the field of analytical geometry to use them for studying other mathematical disciplines. |
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Prerequisites |
Mathematical Analysis, Algebra and Theory of Numbers, Introduction to Mathematics |
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Contents |
Concepts of the n-dimensional affine and Euclidean spaces, k-dimensional planes in these spaces, methods of defining and relationship. Second order figures in affine and Euclidean spaces, their affine and Euclidean classification. Affine transformations and motions, affine and Euclidean geometry. |
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Recommended literature |
1. Kononov S.G. Analytical Geometry: Manual. – Minsk: Publishing house of BSU, 2014, (in Russian). 2. Milovanov M.V., Tyshkevich R.I., Fedenko A.S. Algebra and Analytical Geometry: 2 Parts: Manual. – Minsk: Vysheishaya Shkola, 1984. – P. 2, (in Russian). 3. Modenov P.S., Parkhomenko A.S. Exercise Manual on Analytical Geometry: Manual. – M., Nauka, 1976, (in Russian). 4. Burdun A.A., Murashko E.A., Tolkachev M.M., Fedenko A.S. Exercise Manual on Algebra and Analytical Geometry: – Minsk: Universitetskoe, 1989, (in Russian). |
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Teaching methods |
Comparative, problem, interactive -heuristic and visual. |
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Language of instruction |
Russian |
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Conditions (requirements), on-going control |
– individual tasks; – tests. A final mark is given with consideration for: 40% – evaluation of current academic performance, 60% – an oral answer at the examination |
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Form of current assessment |
Test, examination |