1 
Course Title

Analytical Geometry 
2 
Year of study, speciality 
1,Speciality – “Mathematics”, focus area: “scientific and construction activity” 
3 
Semester of study 
1 
4 
Credit points 
5 
5 
Name of the lecturer, scientific degree, occupation 
Hleb O. Kukrak, PhD in Mathematics 
6 
Goals of studying 
Mastering the main method of research in the analytical geometry – the coordinate method with using the vector algebra. Studying the first and the second order figures and the affine maps in the Euclidean plane and in the Euclidean threedimensional space.

7 
Prerequisites 
Mathematical Analysis, Algebra. 
8 
Contents 
Vectors in the threedimensional Euclidean space. Coordinate systems. Lines in the Euclidean plane. Planes and lines in the threedimensional Euclidean space. Second order figures in the Euclidean plane and in the threedimensional Euclidean space. Affine maps in the Euclidean plane and in the threedimensional Euclidean space. 
9 
Recommended literature 
1. Kononov S.G. Analytical Geometry. – Minsk: BSU, 2014 (in Russian). 2. Milovanov M.V., Tyshkevich R.I., Fedenko A.S. Algebra and Analytical Geometry, vol 1. –Minsk: Vysheyshaya Shcola, 1984 (in Russian). 3. Burdun A.A., Murashko E.A., Tolkachev M.M., Fedenko A.S. Exercise Manual on Algebra and Analytical Geometry. – Minsk: Universitetskoe, 1989 (in Russian).

10 
Teaching methodology 
Comparative, problem, interactiveheuristic and visual. 
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Language of instruction 
Russian 
12 
Requirements for study during the semester 
– tests The final evaluation is given with consideration: 40 % – evaluation of current academic performance, 60% – аn answer at the examination. 
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Examination methodology 
Examination 