Curl: an important differential operator on vector fields. 1 2 3 - PDF document

Curl: an important differential operator on vector fields. 1

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Green's Theorem in vector form 18

* Green's Theorem relates the integral of the tangential part of the field along C to the integral of the vertical part of the curl over * We will see this come up again with Stoke's Theorem later in the course. * We now come up with a similar identity involving the normal component of the field, integrated along the curve C . 19

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Parametric Surfaces 25

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Rotational surfaces 28

"Natural" parameterizations 29

Surface area: We showed previously when discussing surface area that 30

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Practice! 34

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