1. State and briefly discuss the basic definition of the curl of a vector.
2. What is a curl meter? How does it help visualize the behavior of the curl of a vector field?
3. Provide two examples of physical phenomena in which the curl of a vector field is nonzero.
4. State Stokes' theorem and discuss its application.
5. State Gauss' law for the electric field in differential form. How is it derived from its integral form?