Calculus 3: Vector fields, divergence, and curl
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All Calculus 33D SpaceVector FunctionsDot and cross productEquations of lines and planesParametric curves, conic sectionsTangent vectors and arc lengthCylinders and quadric surfacesIntegrals of vector functionsArc length and curvatureMultivariable functionsSurface parameterizationPartial derivativesLinearization, chain rule, gradientTangent planes and linear approximationsOptimizationLagrange multipliersDouble integralsTriple integralsChanging coordinates for integrationSurface areaVector fields, divergence, and curlLine integralsGreen's TheoremFluxStokes' TheoremDivergence TheoremComplex numbers
AllNeeds AttentionEasyMediumHardVideo
Compute the curl of a given vector field .
Using the div, grad, and curl operators, solve a problem involving vector fields and partial differential equations.
Using the divergence concept, determine if a vector field at a given point has a positive, negative, or zero divergence.