1 Surface integrals involving vectors

  1.1 The unit normal

  1.2 $\underset{̲}{dS}$ and the unit normal

  1.3 Integrating a scalar field

  1.4 Integrating a vector field

2 Engineering Example 4

  2.1 Magnetic flux

3 Engineering Example 5

  3.1 The current continuity equation

4 Volume integrals involving vectors