Synopsis: • Modification of algebraic expressions. The basic formulas for counting with powers and roots. The factorizations of algebraic expressions. Goniometrical formulas. The rules for calculating with complex numbers. • Basic properties of elementary functions. The graph of elementary functions and their domain and range. Even, odd, inverse, periodic, increasing, decreasing and bounded function. Maximum and minimum of the function. • Sequences and series. In particular, arithmetical and geometrical sequence. Infinite geometric series and its sum. • Basic types of equations and inequalities. In particular, linear, quadratic, irrational, logarithmic, exponential and goniometrical equations, resp. inequalities. • Combinatorics and probability. Permutations, variations, combinations. Classical probability. • Geometry - planimetry and solid geometry. In particular, the areas and volumes of basic formations in the plane and in the space. • Analytic geometry in the plane and in the space. Analytical equations of conic sections , lines and planes. Scalar and vector product.