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Course Title |
Analytical Geometry |
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Year of study, speciality |
1, speciality “Mathematics”, direction of the specialty: “economic activity” |
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Semester of study |
1 |
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4 |
Credit points |
4 |
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Lecturer |
Ph.D. in Physics and Mathematics, Associate Professor Kononov Sergei Gavrilovich |
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Goals of studying |
Systematic and comprehensive study of the first and second order figures in the Euclidean plane and in the Euclidean three-dimensional space using the vector algebra. 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 |
Vectors in three-dimensional Euclidean space . Lines in the Euclidean plane , planes and lines in space. Second order figures in plane and space, their properties, Euclidean and affine classification. |
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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. 1, (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, visual. |
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Language of instruction |
Russian |
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Conditions (requirements), on-going control |
– individual tasks; – tests. The 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 |
Examination |