How much time is needed for the development of school mathematics and physics? All material required in the incoming msu, I pitched at 30 chapters of approximately equal size. . Rational numbers. . Qualitative Geometry for straight and plane. .
Arithmetic (progression of the number system, divisibility). . Measurement intervals and real numbers.. Motion in a straight line.
. Functions and graphs (monotonicity, continuity, convexity, exponential function, radicals, quadratic polynomial). . The concept of vectors in the plane and in space (including the kinematics of rectilinear uniform motion and start stereometrical). . Algebra (polynomials, equations of the third and fourth-degree equation with radicals, exponential and logarithmic functions). . Read more here: author. Applications of vectors (geometric shapes, polygons, remarkable points of the triangle, the theorem of Menelaus and Ceva, perpendicularity in stereometrical, cylinder and cone). . Simple mechanisms (at the beginning of static works of Archimedes). . Areas and volumes. . Properties of substances (hydrostatics, gas laws, properties, vapor, calorimetry). . Circles, arcs and angles (including trigonometric functions of angles in geometry). . Integrals and their applications. Work in physics. . Geometric optics. . Beginning differential calculus (the tangent, the instantaneous velocity, uniformly accelerated motion). . Circular motion. Trigonometry (Trigonometric function numbers). . Further development of the geometry (themes not included in previous sections, in particular the calculation of certain volume and surface area). . Kinematic constraints.. Natural logarithm and exponent and their applications in physics. . Chapter devoted exclusively to physics. Experience shows that the student can master the head last week when it comes to repetition of material, and for two weeks if the material is studied from scratch.