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Master unit of mathematics, Bluetooth multi-timer, sensors, software and interface, 5 groups

Code: EQ129L

Assemble project
EQ129L_P01.jpg
1400.110_1
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Function

Intended for experimental study, mathematics laboratory and conducting mathematical experiments on: Mathematics. Metrology. Significant figures and uncertainties. Functions. What are the characteristics of the graph of an affine function? Negative slope and positive slope. What are the characteristics of a quadratic function? The exponential function. What are the characteristics of a quadratic function? With an ultrasonic position sensor. What are the characteristics of a sinusoidal function? With an ultrasonic position sensor. Algebra. The notable products: square of the sum of two terms and of the difference of two terms. 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. Ratio, how to compare by means of division. Proportion and the directly proportional relationship. The inversely proportional relationship. Trigonometry. The angular properties of triangles. The fundamental trigonometric relations of the right triangle. The Pythagorean theorem, a metric relationship between the sides of a right triangle. The law of sines and cosines in a right triangle. Measuring the height of a distant object, the clinometer. The degree, the radian, the quadrants and their conversions. The sine, cosine and tangent in the trigonometric circle. The fundamental trigonometric relationship in the trigonometric circle. Plane and metric geometry. The value of the constant pi. The relationships between the angles formed by parallel lines intersected by a transversal line. How to obtain the number pi in the circumference? How to obtain polygonal lines, quadrilateral and trilateral polygons and their perimeters. How to obtain the areas of the polygons rectangle, square, triangle, parallelogram, trapezoid and rhombus? The Pythagorean theorem. Thales' theorem, intersection, ratio and proportion. Thales' theorem and similar triangles. Spatial and metric geometry. Area of a regular hexahedron, the cube. The oblique rectangular prism and the right quadrangular prism, right parallelepiped and its area. Regular right and irregular pyramids, the area of a regular right pentagonal pyramid. The area of a right circular cylinder. The sphere and 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 hollow regular pentagonal pyramid. The prisms, the external and wall volumes of a hollow right quadrangular prism. The indirect measurement of volume. The solid of revolution obtained by rotating a rectangle, the right cylinder. The solid of revolution obtained by rotating a right triangle, the right cone. The cone of revolution intercepted by a plane, the truncated cone. The conical surface of revolution intercepted by a plane, conic sections, curves. The sphere of revolution obtained by rotating a semicircle and the spherical cap. The conical shell resulting from the revolution of an inclined line. The cylindrical shell resulting from the rotation of a vertical line. The disk resulting from the rotation of a horizontal line. The circular ring, torus, or toroidal surface resulting from the rotation of a circle. The spherical shell resulting from the rotation of a circle around one of its diameters. The paraboloid of revolution or circular paraboloid resulting from the rotation of a parabola. The ellipsoid resulting from the rotation of an ellipse. Analytical geometry. The shortest path is not always the fastest. The brachistochrone characteristic of the inverted cycloid. Time is independent of the sphere's starting point, a tautochrone characteristic of the inverted cycloid. How to obtain a cycloid curve using free software? Probability. What is the probability? AND rule and OR rule, etc.


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Main experiments (visual example)

  • Significant figures and uncertainties. 1032.003_0
  • What are the characteristics of the graph of a linear function? Negative slope. 1400.000ABT
  • What are the characteristics of a quadratic function? 1400.102BT
  • The exponential function. 1400.110
  • What are the characteristics of the quadratic parabolic function? With ultrasonic position sensor. 1400.045
  • What are the characteristics of a sinusoidal function? With ultrasonic position sensor 1400.051
  • The notable product of the square of the sum of two terms, with panel. 1400.211
  • The notable product of the square of the sum of two terms. 1400.211T
  • The notable product of the square of the difference of two terms, with panel. 1400.212
  • The notable product of the square of the difference of two terms. 1400.212T
  • First-degree equation with one unknown and the additive and multiplicative principles of equalities. 1400.201
  • First-degree inequality with one unknown and the additive and multiplicative principles of inequalities. 1400.202
  • Ratio, a way of comparing through division. 1400.203
  • Proportion and the directly proportional relationship. 1400.204
  • The inversely proportional relationship. 1400.205
  • The angular properties of triangles. 1400.025
  • The fundamental trigonometric relationships of the right triangle. 1400.030
  • The Pythagorean theorem, a metric relationship between the sides of a right triangle. 1400.035
  • The law of sines and cosines in a right triangle. 1400.040
  • Measuring the height of a distant object, the clinometer. 1400.240
  • Degrees, radians, quadrants and their conversions, with panel. 1072.006_A
  • Degrees, radians, quadrants, and their conversions. 1072.006T_A
  • The sine function in the trigonometric circle, sinusoidal function, with panel. 1072.006_B
  • The sine function in the trigonometric circle, a sinusoidal function. 1072.006T_B
  • The cosine in the trigonometric circle, with panel. 1072.006_C
  • The cosine in the trigonometric circle. 1072.006T_C
  • The tangent in the trigonometric circle, with panel. 1072.006_D
  • The tangent in the trigonometric circle. 1072.006T_D
  • The fundamental trigonometric relationship in the trigonometric circle, with panel. 1072.006_E
  • The fundamental trigonometric relationship in the trigonometric circle. 1072.006T_E
  • The value of the constant pi is 1400.005
  • The relationships between the angles formed by parallel lines intersected by a transversal line. 1400.020
  • How to find the value of pi on a circle? 1400.005B
  • How to obtain polygonal lines, quadrilateral and trilateral polygons and their perimeters, with panel. 1400.235
  • How to obtain polygonal lines, quadrilateral and trilateral polygons and their perimeters. 1400.235T
  • How to find the areas of rectangles, squares, and triangles? With panel. 1400.236
  • How to find the areas of rectangles, squares, and triangles? 1400.236T
  • How to find the areas of parallelogram, trapezoid, and rhombus polygons? With panel. 1400.237
  • How to find the areas of parallelogram, trapezoid, and rhombus polygons? 1400.237T
  • The Pythagorean theorem, with panel. 1400.213
  • The Pythagorean theorem. 1400.213T
  • Thales' Theorem, intersection, ratio and proportion, with panel. 1400.231
  • Thales' Theorem, intersection, ratio and proportion. 1400.231T
  • Thales' Theorem and similar triangles, with panel. 1400.233
  • Thales' Theorem and similar triangles. 1400.233T
  • Area of a regular hexahedron, the cube. - 1400.006 A 1400.006A
  • Right and oblique prisms, the area of a right quadrangular prism, parallelepiped. 1400.006C
  • The oblique rectangular prism and the right quadrangular prism, right parallelepiped and its area. 1400.006C1
  • Regular right and irregular pyramids, the area of a regular right pentagonal pyramid. 1400.006D
  • The area of a regular right pyramid and an irregular pyramid is 1400.006D1. 1400.006D1
  • The area of the right circular cylinder. 1400.006H
  • The sphere and the area of the sphere inscribed in a cylinder. 1400.006J
  • The area of the sphere inscribed in a cylinder. 1400.006K
  • The external, internal, and wall volumes of a hollow cube. 1400.008
  • The pyramids, the external and internal volumes and the walls of a hollow pentagonal regular pyramid. 1400.009
  • The external, internal, and wall volumes of a hollow regular pentagonal pyramid. 1400.009A
  • The prisms, the external and wall volumes of a hollow right quadrangular prism. 1400.011
  • The external, internal, and wall volumes of a hollow right quadrangular prism. 1400.011A
  • Indirect measurement of volume. 1400.003
  • The solid of revolution obtained by rotating a rectangle is the right cylinder. 1400.007A
  • The solid of revolution obtained by rotating a right triangle is the right cone. 1400.007B
  • The cone of revolution intercepted by a plane, the truncated cone. 1400.007C
  • A conical surface of revolution intercepted by a plane, conic sections, curves. 1400.007D
  • The sphere of revolution obtained by rotating the semicircle and the spherical cap. 1400.007E
  • The conical shell resulting from the revolution of an inclined straight line. 1400.007F
  • The cylindrical shell resulting from the rotation of a vertical line. 1400.007G
  • The disk resulting from the rotation of a horizontal line. 1400.007H
  • The circular ring, torus, or toroidal surface resulting from the rotation of a circle. 1400.007I
  • The spherical shell resulting from the rotation of a circle around one of its diameters. 1400.007J
  • The paraboloid of revolution, or circular paraboloid, results from the rotation of a parabola. 1400.007K
  • The ellipsoid resulting from the rotation of an ellipse. 1400.007L
  • The shortest path is not always the fastest. The brachistochrone characteristic of the inverted cycloid 1400.221
  • Time is independent of the sphere's starting point, a tautochronous characteristic of the inverted cycloid. 1400.222
  • How to obtain a cycloid curve using free software? 1400.225
  • What is the probability? The AND rule and the OR rule in genetics. 1505.110
  • What are the characteristics of the graph of a linear function? Positive slope. 1400.000BT

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