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1 |
Course Title
|
Foundations of Geometry |
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2 |
Year of study, speciality |
3,Speciality – “Mathematics”, focus area: “scientific and pedagogical activity” |
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3 |
Semester of study |
6 |
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4 |
Credit points |
2 |
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5 |
Name of the lecturer, scientific degree, occupation |
Hleb O. Kukrak, PhD in Mathematics |
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6 |
Goals of studying |
Studying the axiomatic construction of the Euclidean geometry and series notions and facts of Lobachevsky geometry. |
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7 |
Prerequisites |
Introduction to Mathematics, Analytical Geometry, Differential Geometry and Topology |
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8 |
Contents |
The history of the problem of Euclidean 5 postulat. Axiomatic construction of Euclidean geometry. The arithmetic model of the Euclidean plane. Absolute geometry. Lobachevsky geometry. Puancare model of Lobachevsky plane. |
|
9 |
Recommended literature |
1. Efimov N.V. Higher geometry. – Moscow: Nauka, 1971 (in Russian). 2. Pogorelov A.V. Foundations of geometry.—Moscow: Nauka, 1968 (in Russian). |
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10 |
Teaching methodology |
Comparative, problem, interactive-heuristic and visual. |
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11 |
Language of instruction |
Russian |
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12 |
Requirements for study during the semester |
– tests
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13 |
Examination methodology |
Examination |