Intended for experimental study, mathematics laboratory and carrying out mathematical experiments on: Metrology. Significant digits and uncertainties. Functions. What are the characteristics of the graph of the affine function? Positive angular coefficient. Negative angular coefficient. What are the characteristics of the quadratic function? What are the characteristics of the sinusoidal function? The exponential function. Trigonometry. The angular properties of triangles. The fundamental trigonometric relations of the right triangle. Pythagoras' theorem. The law of sines and cosines. The clinometer. The degree, the radian, the quadrants and their conversions. The sine, the cosine and the tangent in the trigonometric circle. The fundamental relation of trigonometry. Algebra. First-degree equation with one unknown and the additive and multiplicative principles of equalities. First-degree inequality with one unknown and the additive and multiplicative principles of inequalities. Reason, how to compare by means of a division. Proportion and the directly proportional relationship. The inversely proportional relationship. The notable products. Plane and metric geometry. How to obtain polygonal lines, quadrilateral and trilateral polygons and their perimeters. How to obtain the areas of rectangular, square and triangular polygons? How to obtain the areas of parallelogram, trapezoid and rhombus polygons? The relationships between the angles formed by parallel lines cut by a transversal line. Thales' theorem. How to obtain the number pi in the circumference? Analytical geometry. The brachistochronous characteristic of the inverted cycloid. The tautochronous characteristic of the inverted cycloid. Spatial and metric geometry. Area of the regular hexahedron, the cube. Straight and oblique prisms, the area of the straight quadrangular prism (parallelepiped). The straight prism and the oblique prism, the area of the straight quadrangular prism (parallelepiped). The regular straight and irregular pyramids, the area of the regular straight pentagonal pyramid. The regular straight pyramid and the irregular pyramid, the area of the regular straight pentagonal pyramid. The area of the right circular cylinder. The sphere and the area of the sphere inscribed in a cylinder. The area of the sphere inscribed in a cylinder. The external, internal and wall volumes of a hollow cube. The pyramids, the external, internal and wall volumes of a regular hollow pentagonal pyramid. The external, internal and wall volumes of a regular hollow pentagonal pyramid. The prisms, the external and wall volumes of a right hollow quadrangular prism. The external, internal and wall volumes of a right hollow quadrangular prism. The solid of revolution obtained by rotating the rectangle, the right cylinder. The solid of revolution obtained by rotating the right triangle, the right cone. Sectioning the right cone of revolution with planes of different inclinations, conic curves. The solid of revolution obtained by rotating the semicircle, the sphere. The shell or surface of the right circular double cone and the plane conical curves. The straight cylindrical shell or surface of revolution due to the rotation of a vertical line. The circular shell or surface, rotation of a horizontal line. The toroidal shell or surface of revolution, rotation of a circle around a remote axis. The spherical shell or surface of revolution, rotation of a circle around one of its diameters. The circular parabolic shell or surface of revolution, rotation of a parabola around a central axis. The ellipsoidal shell or surface of revolution, rotation of an ellipse around one of its diameters. The hyperboloidal shell or surface of revolution, rotation of a vertical hyperbola around the central axis. The hyperboloidal shell or surface of revolution, rotation of an inclined line around a remote axis. Probability. The probability of random events, etc.
Mathematics. Metrology, Functions, Trigonometry, Algebra, Plane and metric geometry, Analytical geometry, Spatial and metric geometry, Probability.