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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