Podoksenov M.N., Kazhekina L.V. Mathematical Analysis. Part 1. Analytic Geometry on the plane

Study guid. – Vitebsk: Educational Establishment “VSU named after P.M. Masherov”, 2012. – 50 p.This study guide is intended for self-organized work of the first-year students of the Mathematical Faculty taught with a specialization in “Applied Informatics”. Theoretical material is outlined; the examples of problems solution are presented. Problems for solving in practical classes and individual assignments are also attached.Coordinate system on the line and on the plane
Notion of the vector
A sum and a difference of two vectors
A product of a vector and a number
Coordinates of a vector
The angle between two vectors. Scalar product of two vectors
Formula for the computation of the scalar product and its implications
ition of a segment in the prescribed ratio
A square of a parallelogram and of a triangle
An equation of a straight line
Mutual location of two straight lines. The angle between two lines
General equation of a straight line. The distance between a point and a straight line
Canonical and parametric equations of the straight line. The equation „in segments‟
Transformations of the Cartesian coordinate system
Ellipse
Hyperbola
Conic sections. Parabola
Examples of solving the problems
Tasks for the independent solving
Tasks for the practical classes