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Name of the discipline
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Additional heads of geometry
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Course of Study
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3, Speciality – “Mathematics”, focus area: “scientific and production activity” |
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3 |
Semester of training
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5 |
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4 |
Amount of credits
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4 |
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5 |
Full name of lecturer
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Candidate of Physical and Mathematical Sciences, associate professorVladimir Timoxovich
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| 6 | Objectives of the study of discipline | A systematic and comprehensive study of fhree classic geometries. Mastering the basic methods of objects of classic geometries. Stady of similar elements and distinctions in geometries projective, spherical and hyperbolic.Acquisition of sufficient knowledge, skills and abilities for students to use in studying other mathematical disciplines. |
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7 |
Prerequisites
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Mathematical analysis, Algebra and number theory. Differential geometry and topology.
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| 8 | Content of discipline | The Projective plane and her models. Spherical geometry and the geometry of spherical triangles. Three models of the hyperbolic plane. |
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9 |
Recommendedliterature |
1. Nikulin V.V., Shapharevich I.R. Geometries and groups. Moscow: Nauka, 1983. 2. Kononov S.G. Analytic geometry: a textbook. – Minsk: BSU, 2014. – 238 p. 3. Milovanov M.V., Tishkevich R.I., Fedenko A.S. Algebra and Analytic Geometry: in 2 volumes: a textbook. – Minsk: The Higher School, 1984. – Volume 2. – 302 p.
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10 |
Teaching Methods |
Motivational-competent, problematic, dialogue-heuristic, visual. |
| 11 | Language of teaching | Russian |
| 12 | Conditions (requirements),routine control | – Individual tasks; – test papers. |
| 13 | Form of current assessment | Test |