Calculus

“calculus of infinitesimals”, study of continous change

study of rates ath which quantities change.

Example of a straigth line $y=mx+b$, $m=\Delta y / \Delta x$

Geometrically, derivative of f at point x=a is slope of tangent line.

Relation between collection of functions and their derivatives.

Ordinary differential equation:

$y' = 2y + x^2$ = $f'(x)=2*f(x)+x^2$ = $\frac{dy}{dx}$