1 semester

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 three-dimensional space.

 

7

Prerequisites

Mathematical Analysis, Algebra.

8

Contents

Vectors in the three-dimensional Euclidean space. Coordinate systems. Lines in the Euclidean plane. Planes and lines in the three-dimensional Euclidean space. Second order figures in the Euclidean plane and in the three-dimensional Euclidean space. Affine maps in the Euclidean plane and in the three-dimensional 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, interactive-heuristic and visual.

11

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.

13

Examination methodology

Examination