1 
Course Title

Foundations of Geometry 
2 
Year of study, speciality 
3,Speciality – “Mathematics”, focus area: “scientific and pedagogical activity” 
3 
Semester of study 
6 
4 
Credit points 
2 
5 
Name of the lecturer, scientific degree, occupation 
Hleb O. Kukrak, PhD in Mathematics 
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Goals of studying 
Studying the axiomatic construction of the Euclidean geometry and series notions and facts of Lobachevsky geometry. 
7 
Prerequisites 
Introduction to Mathematics, Analytical Geometry, Differential Geometry and Topology 
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). 
10 
Teaching methodology 
Comparative, problem, interactiveheuristic and visual. 
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Language of instruction 
Russian 
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Requirements for study during the semester 
– tests

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Examination methodology 
Examination 