m12 GONIOMETRIC FUNCTIONS
Angle measurement
Sine and cosine functions
Tangent function
Secant and cosecant functions
Cotangent function
Trigonometric functions
Trigonometric functions of particular angles
Associated angles
Inverse trigonometric functions
Trigonometric functions and geometric transformations
m13 GONIOMETRICHE FORMULA
Addition and subtraction formulas
Duplication formulas
Bisection formulas
Parametric formula
Prostapheresis and Werner formulas
m14 FUNCTIONS EQ AND DISEQ EXPONENTIALS
Elementary trigonometric equations
Linear equations in sine and cosine
Second degree homogeneous equations in sine and cosine
Trigonometric equations
Systems of trigonometric equations
Trigonometric inequalities
Parametric trigonometric equations
m15 TRIGONOMETRY
right triangles
applications of the theorems on right triangles
any triangles
applications of trigonometry
m16 COMPLEX NUMBERS
Complex numbers
Algebraic form of complex numbers
Operations with imaginary numbers
Operations with complex numbers in algebraic form
Operations with complex numbers
Geometric representation of complex numbers
Trigonometric form of a complex number
Operations between complex numbers in trigonometric form
Expressions with complex numbers in trigonometric form
n-th roots of unity
n-th roots of a complex number
Exponential form of a complex number
m17 VECTORS, MATRICES, DETERMINANTS
Vectors in the plane
Vectors in the Cartesian plane (analytic geometry)
Matrices
Operations with matrices
Operations with matrices
Determinants
Inverse matrix
Matrices and analytical geometry
m18 GEOMETRIC TRANSFORMATIONS
Geometric transformations
Translation
Rotation
Central symmetry
Axial symmetry
Isometrie
Omotetia
Similarity
Affinity
geometric transformations and matrices
m19 EUCLIDEAN GEOMETRY IN SPACE
Points, lines, planes in space
Perpendicularity and parallelism in space
Distances and angles in space
Geometric transformations in space
Polyhedrons
Solids of rotation
Areas of solids
Extension and equivalence of solids
volumes of solids
areas and volumes of the usual
m20 ANALYTICAL GEOMETRY IN SPACE
Coordinates in space
Vectors in space
Plan and its equation
Straight line and its equation
Reciprocal position of a straight line and a plane
Some notable surfaces in the space
m20A COMBINATORY CALCULATION
What is combinatorics
Provisions
Permutations
Combinations
Newton's binomial
m20B PROBABILITY
Events
Classic definition of probability
Logical sum of events
Conditional probability
Logical product of events
Logical sum and product problems
Theorem in Bayes
Statistical definition of probability
Subjective definition of probability
Axiomatic setting of probability
C7 COORDINATE POLARI NEL PIANO
Polar coordinates
Curve equations
Uniform circular motion
C8 TRANSCENDENT NUMBERS
Rational numbers and irrational numbers
Algebraic numbers and transcendental numbers
CHAPTER C9 NUMBER OF SOLUTIONS OF A POLYNOMIAL EQUATION
Polynomial functions and equations
Approximate calculation of a solution
C10 LANGUAGE AND REASONING IN MATHEMATICS
Demonstrations and reasoning schemes
Validity of reasoning schemes