Ukraine.

Exotic training course for the entrance examination in mathematics.

**External independent evaluation**

Themes:

0101 Goals and rational number

0102 Interest. The main problem of interest

0103 The simplest geometric shapes on the plane and their properties

0201 Degree of natural and integral indicator

0202 Monomial and polynomials and operations on them

0203 Triangles and their basic properties

0301 Algebraic fractions and operations on them

0302 Square root. Real numbers

0303 Circle and circle, their properties

0401 Equations, inequalities and their systems

0402 Function and its basic properties

0403 Described and inscribed triangles

0501 Linear function, linear equations, inequalities and their systems

0502 Quadratic function, quadratic equation, inequality and their systems

0503 Solving square triangles

0601 Rational Equations, Inequalities and their sysytemy

0602 Numerical sequence. Arithmetic and geometric progression

0603 Solving arbitrary triangles

0701 Sine, cosine, tangent and cotangent numeric argument

0702 Identical transformation of trigonometric expressions

0703 Quadrilateral types and their basic properties

0801 Trigonometric and inverse trigonometric functions, their properties

0802 Trigonometric equations and inequalities

0803 Polygons and their properties

0901 The root of n-th degree. Degree of rational parameters

0902 The power functions and their properties. Irrational equations, inequalities and their systems

0903 Regular polygons and their properties

1001 Logarithms. Logarithmic function. Logarithmic equations, inequalities and their systems

1002 Exponential function. Indicator of equations, inequalities and their systems

1003 Direct and planes in space

1101 Derivative and its geometric and mechanical content

1102 Derivatives and its application

1103 Polyhedron. Prisms and pyramids. Regular polyhedron

1201 Initial and definite integral

1202 Application of certain integral

1203 Body rotation

1301 Compounds. Binomial theorem

1302 General methods for solving equations, inequalities and their systems

1303 Coordinates in the plane and in space

1401 The origins of probability theory

1402 Beginnings of Mathematical Statistics

1403 Vectors in the plane and in space

**Maple **version

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