PHY2061 R. D. Field Department of Physics vector_1.doc Univesity of Florida Points enclose curveP2P1Curve CSummary: GRAD Relationship between the points P1and P2and the curve C enclosed by the points: ∫⋅∇=−CrdfPfPf)()(12zzyyxx∂∂+∂∂+∂∂=ˆˆˆzfzyfyxfxf∂∂+∂∂+∂∂=∇ˆˆˆSummary: STOKES Relationship between the closed curve C and the surface S enclosed by the curve: ∫∫⋅×∇=⋅SCAdFrdF)(zyxFFFzyxzyxF∂∂∂∂∂∂
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This note was uploaded on 10/17/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.