Law of continuity (*Math. & Physics*), the principle that nothing passes from one state to another without passing through all the intermediate states.

“*Leibnitz was the first to apply it extensively in the test of physical theories, and in the reduction of fragmentary knowledge to order and intelligibility.
He affirmed that nothing passes from one state to another without passing through all intermediate states, and established the truth of his proposition by showing the absurdity of the contrary. If a change were to happen without the lapse of time, the thing changed must be in two different conditions at the same instant, which is manifestly impossible*“.

(George Iles).

- Theorems about functions continuous on intervals
- Application to the determination of the range of a function
- Application to the approximate solution of
*f(x)*=0

*1*. Functions and their graph. Monotonicity. One-one and onto functions.

*2*. Functions and their graph. Onto and invertible functions

*3*. Limit of a function to a finite point

*4*. Limit of a function to infinity. Asymptotes

*5*. Continuity

*7*. Derivative as rate of change: definition

Progetto "Campus Virtuale" dell'Università degli Studi di Napoli Federico II, realizzato con il cofinanziamento dell'Unione europea. Asse V - Società dell'informazione - Obiettivo Operativo 5.1 e-Government ed e-Inclusion