**Purposes:**

- To introduce the idea of a vector field and illustrate some of the practical uses of vector fields
- To introduce the notion of ``work'' from physics and make a link between vector fields and the calculation of physical work
- To develop a notion of the definite integral of a vector field around a curve in the plane
- To examine some of the properties of the line integral of a vector field

**Prerequisites: **

- Familiarity with the fundamental concepts of Newtonian physics (distance, direction, force)
- The Accumulation module (or an understanding of definite integrals and Riemann sums)
- Familiarity with vectors in
**R**and^{2}**R**, including their symbolic, numerical, and graphical representations^{3} - Familiarity with geometric interpretation
dot products of vectors in
**R**and the projection of one vector onto another^{2} - The Vectors in Two and Three Dimensions module

modules at math.duke.edu | Copyright CCP and the author(s), 2001 |

Last Modified: Nov. 8, 2002 |