Module 1 : A Crash Course in Vectors
Lecture 5 : Curl of a Vector - Stoke's Theorem
  Adding up we get
  In a very similar way, one can obtain expressions for the y and z components
 
\begin{eqnarray*} ({\rm curl}\ F)_y &=& \frac{\partial F_x}{\partial z}- \frac{... ...\frac{\partial F_y}{\partial x}- \frac{\partial F_x}{\partial y} \end{eqnarray*}
  One can write the expression for the curl of $\vec F$ by using the del operator as
 
   
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