Calculus › Section P · Vector analysis › Topic P.4
Green's theorem
A closed curve's circulation and its interior's spin are two views of one number. Green's theorem converts between them — and its flux face turns the boundary walk into an area measurement.
In this topic
- From a curve to its interior
- Worked example: the swirl again
- Worked example: a square's work
- Area from the boundary
- Worked example: an ellipse's area
- The other face: flux
- Regions with holes
- Common mistakes to avoid
- Key takeaways
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Standards: Beyond AP