Skill — Risolvere equazioni.
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Linked atoms
110 linked atoms.
03 Frazioni algebriche
04 Percentuali
05 Equazioni di primo grado
- Ages of Marco and Lia
- Coffee blend
- Discussion of a parametric equation
- Example — equation with fractions
- First principle of equivalence
- Fractional equation
- Fractional equations
- From the problem to the equation
- Literal equations and parameters
- Percentage increase
- Proportional distribution
- Second principle of equivalence
- Tanks and taps
- The riddle of Diophantus
- Two trains in pursuit
- What an equation is
09 Metodo di lavoro — come risolvere un problema
10 Equazioni di secondo grado e fratte
- A complete cubic
- Cardano after the depressed form
- Cardano in action
- Checking a root of the cubic
- Nested radical with sums
- Revision: fractional equations
- The continued fraction of the square root of 2
- The depressed form
- The golden number
- The quadratic formula and the discriminant
- What a continued fraction is
12 La parabola
- Equation with two absolute values (|2x-1| = |x+3|)
- Equations with absolute value
- Line tangent to the parabola
13 Radicali ed equazioni irrazionali
16 Circonferenza
18 Fasci di rette
- Complete study of a pencil
- Example — Passing through a point
- General method for pencil problems
- The strategy for determining the parameter
19 Luoghi geometrici nel piano cartesiano
- Bisectors of two given lines
- Bisectors of two lines
- Parabola from focus and directrix
- Parabola from focus and directrix
- Perpendicular bisector of a given segment
- Perpendicular bisector of a segment
20 Circonferenza nel piano cartesiano
- Example — tangents with the delta method
- Example — tangents with the distance method
- Tangents with the distance method
21 Ellisse
23 Funzioni, linguaggio e proprietà
- Continuity at the junction points
- How to compute the inverse
- Injectivity and inverse of x³+1
- Parameters for continuity
- Piecewise functions as models
- Solving f(x)=3 piecewise
25 Funzione esponenziale
- Continuous compounding
- Equation by substitution
- Equation with the same base
- Examples of exponential equations
- Solution methods
26 Funzione logaritmica
27 Metodi unificanti per equazioni e disequazioni
- A checklist for the oral exam
- Exponential equation with substitution
- Idea 1: substitution
- Idea 2: applying an injective function
- Irrational-exponential equation
28 Circonferenza goniometrica e funzioni sin, cos, tan
30 Formule parametriche, prostaferesi, Werner
31 Equazioni goniometriche
- Definition and solution method
- Elementary equation in cosine
- Elementary trigonometric equations
- Equation in tangent squared
- Equation with sum-to-product formulae
- Equations reducible to homogeneous ones
- Equations solvable by substitution
- Linear equation with two methods
- Reading on the trigonometric circle
- Second-degree equation in sine
- Second-degree homogeneous equation
- The auxiliary-angle method
- The parametric-formulae method
35 Probabilità avanzata
36 Numeri complessi
41 Continuità e discontinuità
42 Derivate
44 Integrale
46 Equazioni differenziali
- Discharging RC circuit
- Exponential growth
- Harmonic oscillator
- Mass-spring with friction
- Mass-spring without friction
- Method of separation of variables
- Problem — Fall with air resistance
- RLC circuit in free oscillation
- Solution formula for first-order linear equations
- The characteristic equation and the three cases
- Worked example y’ − y = eˣ
- Worked exercise — y’ = −2xy (the Gaussian)
- Worked exercise — y’ = 3y with y(0)=2
- Worked exercise — y’ − y = eˣ
- Worked exercise — y” + 9y = 0 with initial conditions