group Small Group Activity
30 min.
Vector Calculus II 23 (12 years)
Students predict from graphs of simple 2-d vector fields whether the divergence is positive, negative, or zero in various regions of the domain using the definition of the divergence of a vector field at a point:
The divergence of a vector field at a point is flux per unit volume through an infinitesimal box surrounding that point. Optionally, students can use a
Mathematica notebook to verify their predictions.