Skill — Calcolare.
Featured in chapters
01·02·04·05·06·09·13·15·16·21·26·27·28·29·33·35·36·37·38·41·44·46·47
Linked atoms
133 linked atoms.
01 Numeri e operazioni fondamentali
- Commutative and associative with subtraction
- Expression with brackets
- Expression with powers
- Order of operations
- Simplifying powers of fractions
- The onion diagram
- The sieve of Eratosthenes
- Tower of powers
- Towers of powers and negative exponents
02 Calcolo letterale
- Cube of a binomial
- Division between polynomials - quotient and remainder
- GCD and LCM of polynomials
- GCD and LCM with factorisation
- Multiplication of polynomials
- Operations between monomials
- Ruffini’s table
- Special products for mental calculation
- Square of a binomial
- Sum times difference
- The method of shapes
04 Percentuali
- Comparison of simple and compound
- Discount and mark-up
- Increase and decrease do not cancel out
- Percentage increase and decrease
- Percentages and probability
- Stripping VAT out of a VAT-inclusive price
- Successive discounts multiply
- The cost of credit cards
- The GDP that doesn’t add up
- The same error counts differently
- The trader’s margin
- What a percentage is
05 Equazioni di primo grado
06 Sistemi di equazioni lineari
- Example, 3x3 system with Gauss
- Example, product of two matrices
- Example: 2x2 system with Cramer
- Solving a 3x3 system with Gauss
- Square and inverse of a 2x2 matrix
- Sum of matrices and product by a scalar
- Verify that (AB) inverse equals B inverse times A inverse
09 Metodo di lavoro — come risolvere un problema
13 Radicali ed equazioni irrazionali
- Example — computing a regression line
- Expression with rationalisations
- The three rationalisation techniques
15 Similitudine
16 Circonferenza
21 Ellisse
26 Funzione logaritmica
- Comparison between two earthquakes
- Computing logarithms
- Converting ratios into decibels
- Decibels
- Flux and magnitude of two stars
- Loudspeakers and decibels
- pH of lemon juice
- The change-of-base formula
27 Metodi unificanti per equazioni e disequazioni
28 Circonferenza goniometrica e funzioni sin, cos, tan
- Conversion between degrees and radians
- Conversion between polar and Cartesian
- Conversion to radians
- From polar to Cartesian
- How to reduce an angle to the first quadrant
- Plotting the cardioid
29 Formule di addizione, duplicazione, bisezione
33 Trigonometria dei triangoli
- Angle from three sides
- Area from two sides and the included angle
- Solving a triangle with the law of cosines
- Solving a triangle with the sine rule
- Triangle from two angles and a side
35 Probabilità avanzata
- Frequency table
- Measures of location and dispersion
- Problem — Mean, median, variance, standard deviation
- Standard error and confidence intervals
36 Numeri complessi
- Division by rationalising
- Fourth roots of -16
- Modulus of a complex number
- Operations in Cartesian form
- Power with De Moivre
- Product and power in exponential form
- Product of two complex numbers
- The cube roots of 8
- Trigonometric and exponential form
37 Geometria analitica nello spazio
38 Geometria sintetica nello spazio
- Cone - volume, surface area and net
- Development angle of the cone
- Dihedral angle between face and base
- Dihedral angle in the cube
- Frustum of a pyramid as a difference
- Frustum of a pyramid with a square base
- Rectangular parallelepiped
- Regular tetrahedron
- Right pyramid with a square base
- Sphere inscribed in a cone
- Sphere inscribed in a cube
- The cube - diagonal and hexagonal cross-section
- The regular tetrahedron
41 Continuità e discontinuità
44 Integrale
- Computing the area with the antiderivative
- Integral by substitution
- Integral using the antiderivative
- Integration by parts
- Integration by parts of the logarithm
- Integration by substitution
- Irrational and trigonometric substitutions
- Revolution about the y axis with shells
- Volume of the cone
- Volume of the pyramid
- Volume of the sphere
- Volume of the sphere of radius 5
- Volumes of revolution - the cylindrical shell method
- Volumes of revolution - the disc method