Stokes's Thm Power Point Notes

Stokes's Thm Power Point Notes - Slide 1 Stokes’s Theorem...

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Unformatted text preview: Slide 1 Stokes’s Theorem Calculus I I I Sect ion 14.8 Slide 2 Orientation of a Surface Consider the diagram on p. 1081 St okes’s Theorem gives t he relat ionship bet ween a surface int egral over an orient ed surface S and a line int egral along a closed space curve C form ing t he boundary of S. Slide 3 Stokes’s Theorem Let S be an orient ed su rface w it h unit norm al vect or N , bounded by a piecew ise sm oot h sim ple curve C. I f F is a vect or field w hose com ponent functions have cont inuous par tial derivat ives on an open region cont aining S and C, t hen ∫ F • d r = ∫∫ (curl F ) • N dS C S Slide 4 Example Sect ion 14.8 #8 Slide 5 Curl (curl F ) • N is t he rot at ion of F about N. Slide 6 Congratulations! You ha ve finishe d t h e book ! ...
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Stokes's Thm Power Point Notes - Slide 1 Stokes’s Theorem...

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