2 semester

1	Course Title	Analytic geometry
2	Year of study, speciality	1, Speciality – “Mathematics”, focus area: “scientific and construction activity”
3	Semester of study	2
4	Credit points	2
5	Name of the lecturer, scientific degree, occupation	Senior Lecturer Tamara V. Tikhonova,Department of Geometry, Topology and Methods of Teaching Mathematics
6	Goals of studying	Development of skills of working in multidimensional Euclidean and affine spases; The study of figures of the first and second orders in these spaces. Mastering the basic method of research in analytical geometry – the method of coordinates.Acquisition of sufficient knowledge, skills and abilities in the field of analytical geometry for students to use in studying other mathematical disciplines.
7	Prerequisites	Mathematical analysis, Algebra and number theory, Introduction to mathematics
8	Contents	Affine spaces Aⁿ. Affine mappings and transformations. Figures of the second order (quadrics) in a real affine space Aⁿ.
9	Recommended literature	Kononov S..G. Analytic geometry: – Minsk: BSU, 2014. – 238 p (in Russian). Milovanov M.V., Tyshkevich R.I., Fedenko A.S. Algebra and Analytic Geometry: in 2 volumes: – Minsk: Vysheishaya shkola,1984. – Volume 2. – 302 p. (in Russian). Modenov P.S., Parkhomenko A.S. Collection of problems in analytic geometry.– M., Nauka,, 1976.– 384 p. (in Russian). Burdun A.A., Murashko E.A., Tolkachov M.M., Fedenko A.S. A Collection of problems in algebra and analytic geometry. – Minsk: Universitetskoe, 1989. – 285 p. (in Russian).
10	Teaching methodology	A comparative, problematic, heuristic, visual
11	Language of instruction	russian
12	Requirements for study during the semester	Individual tasks; test papers. The final evaluation is made taking into account: 40% – assessment of current academic performance, 60% – oral answer in the exam
13	Examination methodology	Credit test, Examination