Skill — Modellizzare.
Featured in chapters
04·05·06·07·09·10·12·13·14·15·23·25·26·28·33·34·35·36·39·40·42·44·46·47
Linked atoms
117 linked atoms.
04 Percentuali
05 Equazioni di primo grado
- Ages of Marco and Lia
- Coffee blend
- From the problem to the equation
- Percentage increase
- Proportional distribution
- Tanks and taps
- The riddle of Diophantus
- Two trains in pursuit
- Unifying scheme
06 Sistemi di equazioni lineari
- Away from equilibrium
- Demand and supply curves
- Effect of a tax
- Example, equilibrium in the wheat market
- The equilibrium price
07 Teoria degli insiemi
09 Metodo di lavoro — come risolvere un problema
- Example — reviewing the rectangle problem
- Example — understanding an algebra problem
- The four moves of the problem-solver
- The three questions of “understanding
- Worked problem — rectangle with given perimeter and area
10 Equazioni di secondo grado e fratte
12 La parabola
13 Radicali ed equazioni irrazionali
14 Equivalenza e teorema di Pitagora
15 Similitudine
23 Funzioni, linguaggio e proprietà
- Demand curve
- Effect of a tax on the equilibrium
- Equilibrium with linear demand and supply
- Market equilibrium
- Piecewise functions as models
- Price of maximum profit
- Profit and elasticity
- Supply curve
25 Funzione esponenziale
- Atmospheric pressure with altitude
- Beer-Lambert law
- Continuous compounding
- Newton’s cooling
- Number of half-lives
- Radioactive decay
- Radioactive decay and carbon-14 dating
- Simple, compound and continuous interest
- Why exponentials are everywhere
26 Funzione logaritmica
- Comparison between two earthquakes
- Decibels
- Flux and magnitude of two stars
- Loudspeakers and decibels
- Other notable logarithmic scales
- The logarithmic scale
28 Circonferenza goniometrica e funzioni sin, cos, tan
33 Trigonometria dei triangoli
34 Combinatoria
35 Probabilità avanzata
- A lottery as a random variable
- A variant of odds or evens
- Die with winnings and losses
- Example — Influenza vaccine
- Example — Lottery against a sure alternative
- Example — Odds and the house margin
- Example — Odds or evens
- Example — Strega and Gigante
- Guided example — Drug trial
- Guided example — School of 1024 students
- Lottery and risk aversion
- Matrix with a dominant strategy
- Mixed strategy
- Nash equilibrium
- Odds of 2,5 to 1 and the margin
- Payoff matrix
- Prepared student and correct answer
- Rock-paper-scissors, mixed equilibrium
- The six conversions
- Tree diagram
- Tree inversion
36 Numeri complessi
- Curve of a particle
- Implicit form and parametric form
- Parametrisation of curves in the plane
- Parametrising a circle
- Parametrising a line segment
39 Successioni numeriche
40 Limiti di funzioni
42 Derivate
- Circular sector of minimum perimeter
- Cylinder inscribed in a cone
- Cylindrical can of minimum surface area
- Maximum area at fixed perimeter
- N cells in series — maximum current
- Rectangle inscribed in a semicircle
- The optimisation method
- Trapezium inscribed in a semicircle
44 Integrale
46 Equazioni differenziali
- Barometric formula
- Cooling of coffee
- Discharging RC circuit
- Mass-spring with friction
- Mass-spring without friction
- Problem — Altitude and atmospheric pressure
- Problem — Cooling of a cup of tea
- Problem — Fall with air resistance
- Radioactive decay
- RLC circuit in free oscillation
- The mechanical-electrical analogy
- Why differential equations are important