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Course Title 
Analytical Geometry 
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Year of study, speciality 
1, speciality “Mechanics and mathematical modeling” 
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Semester of study 
1 
4 
Credit points 
4 
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Lecturer 
Senior Lecturer, Konstantin Stanislavovich Filipovic, Department of Geometry, Topology and Methods of Teaching Mathematics

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Goals of studying 
Systematic and comprehensive study of the first and second order figures in the Euclidean plane and in the Euclidean threedimensional space using the vector algebra. Mastering the main method of research in the analytical geometry – the coordinate method. Acquiring a sufficient volume of knowledge, skills and abilities by students in the field of analytical geometry to use them for studying other mathematical disciplines. 
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Prerequisites 
Mathematical Analysis, Algebra and Theory of Numbers, Introduction to Mathematics 
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Contents 
Vectors in threedimensional Euclidean space . Lines in the Euclidean plane , planes and lines in space. Second order figures in plane and space, their properties, Euclidean and affine classification. 
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Recommended literature 
1. Kononov S.G. Analytical Geometry: Manual. – Minsk: Publishing house of BSU, 2014, (in Russian). 2. Milovanov M.V., Tyshkevich R.I., Fedenko A.S. Algebra and Analytical Geometry: 2 Parts: Manual. – Minsk: Vysheishaya Shkola, 1984. – P. 1, (in Russian). 3. Modenov P.S., Parkhomenko A.S. Exercise Manual on Analytical Geometry: Manual. – M., Nauka, 1976, (in Russian). 4. Burdun A.A., Murashko E.A., Tolkachev M.M., Fedenko A.S. Exercise Manual on Algebra and Analytical Geometry: – Minsk: Universitetskoe, 1989, (in Russian). 
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Teaching methods 
Comparative, problem, interactive –heuristic, visual. 
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Language of instruction 
Russian 
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Conditions (requirements), ongoing control 
– individual tasks; – tests. The final mark is given with consideration for: 40% – evaluation of current academic performance, 60% – an oral answer at the examination 
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Form of current assessment 
Examination 