Mathematics courses 10th grade - course 30,800 rub. from Online school TutorOnline, training 70 ac. hours, Date: December 5, 2023.

Algebra

Trigonometric functions of numeric argument

- Sine
- cosine
- tangent
- cotangent
- Basic formulas of trigonometry
- Trigonometric functions and their graphs

Basic properties of functions
- Functions and their graphs. Graph Transformations
- Even and odd functions. Periodicity of trigonometric functions
- Increasing and decreasing functions. Extremes
- Function research
- Properties of trigonometric functions
- Harmonic vibrations

Solving trigonometric equations and inequalities
- Arcsine, arccosine and arctangent lesson 1
- Arcsine, arccosine and arctangent lesson 2
- Solving simple trigonometric equations
- Solving simple trigonometric inequalities lesson 1
- Solving simple trigonometric inequalities lesson 2
- Examples of solving trigonometric equations and systems of equations lesson 1
- Examples of solving trigonometric equations and systems of equations lesson 2

Derivative
- Function increment. The concept of derivative
- The concept of continuity of a function and passage to the limit
- Rules for calculating derivatives
- Derivative of a complex function
- Derivatives of trigonometric functions

Application of continuity and derivative
- Applications of continuity lesson 1
- Applications of continuity lesson 2
- Tangent to the graph of a function
- Approximate calculations
- Derivative in physics and technology

Applications of the derivative to the study of functions
- Sign of increasing (decreasing) function
- Critical points of a function, maximums and minimums lesson 1
- Critical points of a function, maxima and minima lesson 2
- Examples of applying the derivative to the study of functions
- The largest and smallest values ​​of a function lesson 1
- Largest and smallest values ​​of a function lesson 2

Elements of combinatorics, statistics and probability theory
- Tabular and graphical presentation of data
- Combinatorial problems
- Formulas for the number of permutations
- Rearrangements, placements
- Combinations and their properties

Geometry

Axioms of stereometry and their consequences
- Subject of stereometry
- Axioms of stereometry
- Some corollaries from the axioms
- Solving problems on the application of the axioms of stereometry and their consequences

Parallelism of lines and planes
- Parallel lines in space. Parallelism of three lines
- Parallelism of a straight line and a plane. Crossing lines
- Corners with aligned sides. Angle between straight lines
- Solving problems on the topic “Parallelism of lines and planes”
- Parallel planes. Properties of parallel planes
- Tetrahedron. Parallelepiped
- Tasks on constructing sections. Solving problems on the topic “Parallelism of lines and planes”

Perpendicularity of lines and planes
- Perpendicular lines in space. Parallel lines perpendicular to a plane
- Sign of perpendicularity of a straight line and a plane
- Theorem about a line perpendicular to a plane
- Distance from a point to a plane. Three Perpendicular Theorem
- The angle between a straight line and a plane. Dihedral angle
- A sign of perpendicularity of two planes. Rectangular parallelepiped
- Solving problems on the topic “Perpendicularity of lines and planes”

Polyhedra
- The concept of a polyhedron
- Prism
- Pyramid
- Correct pyramid. Truncated pyramid
- Surface area of ​​the pyramid
- Symmetry in space
- The concept of a regular polyhedron

Vectors in space
- Actions on vectors
- Coplanar vectors
- Parallelepiped rule
- Solving problems on the topic “Vectors in space” lesson 1
- Solving problems on the topic “Vectors in space” lesson 2