Green's
Theorem and the Planimeter
Oliver Knill and Dale Winter,
Harvard University
with the assistance of David Smith,
Duke University
Purposes:
- To review iterated integrals in two dimensions and line integrals in the
plane
- To investigate relationships between line integrals and iterated integrals
in the plane
- To develop a method for calculating areas of regions in the plane using
line integrals
- To investigate the operation of a planimeter
- To investigate mathematical models describing the operation of a planimeter
Prerequisites:
