Introduction
A vector or scalar field - including one formed from a vector derivative (div, grad or curl) - can be integrated over a surface or volume. This Section shows how to carry out such operations.
Prerequisites
- be familiar with vector derivatives
- be familiar with double and triple integrals
Learning Outcomes
- carry out operations involving integrations of scalar and vector fields
Contents
1 Surface integrals involving vectors1.1 The unit normal
1.2 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