Multivariable kalkulus

Last updated 15 Oct 22 Edit Source

Khan academy

Divergence and curl:
Iba pre vektorové funkcie
$$ \vec{v}(x,y,...)= \begin{bmatrix} v_x(x,y) \\\\ v_y(x,y) \\\\ \dot{\dot{\cdot}} \end{bmatrix} $$

$$\text{div} \ \vec{v}(x,y,...)=\nabla\cdot\vec{v}=\frac{\delta v_x}{\delta x}+\frac{\delta v_y}{\delta y}+...$$

$$\text{2d-curl} \ \vec{v}(x,y)=\nabla\times\vec{v}=\frac{\delta v_x}{\delta x}-\frac{\delta v_y}{\delta y}$$