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Course Title
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Geometry
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Year of study, speciality |
1, specialty “Mathematics and Information Technologies”
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Semester of study |
1 |
4 |
Credit points |
4 |
5 |
Name of the lecturer, scientific degree, occupation |
associate professor Vladimir V. Suvorov,
PhD in Mathematics, Department of Geometry, Topology and Methods of Teaching Mathematics |
6 | Goals of studying | A systematic and comprehensive study of first and second order figures on Euclidean plane and in Euclidean three-dimensional space using vector algebra. Mastering the basic method of research in analytical geometry – the method of coordinates.Acquisition of sufficient knowledge, skills and abilities in the field of geometry for students to use in studying other mathematical disciplines. |
7 |
Prerequisites
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Mathematical analysis, Algebra and number theory, Introduction to mathematics |
8 | Contents | Vectors in three-dimensional Euclidean space . Straight lines on Euclidean plane , planes and straight lines in space . Figures of the second order on and in , their properties, Euclidean and affine classification. |
9 | Recommendedliterature |
1. Kononov S.G. Analytic geometry: – Minsk: BSU, 2014. – 238 p. (in Russian). 2. Milovanov M.V., Tishkevich R.I., Fedenko A.S. Algebra and Analytical Geometry: in 2 volumes: – Minsk: Vysheishaya shkola, 1984. – Volume 1. – 302 p. (in Russian). 3. Burdun A.A., Murashko E.A., Tolkachov M.M., Fedenko A.S. A Collection of problems in algebra and analytic geometry. – Minsk: Universitetskoe, 1989. – 285 p. (in Russian). 4. Modenov P.S., Parkhomenko A.S. Collection of problems in analytic geometry.– M., Nauka,, 1976.– 384 p. (in Russian). |
10 | Teaching methodology |
Lectures, solving problems, discussions, consultations. |
11 | Language of instruction | russian |
12 | Requirements for study during the semester | – Individual tasks; – test papers.The final evaluation is made taking into account:40% – assessment of current academic performance,60% – oral answer in the exam |
13 | Examination methodology | Exam |