Calculus 3: Multivariable functions
Collapse
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
Calculate the gradient vector for a given function and describe its significance in the context of a 3D graph.
Explain and visualize different types of multivariable functions.
The limit of multivariable function given by the expression with three variables x, y, and z, using parametric curves for variables substitution.
Using the Extreme Value Theorem, find the global maximum and minimum values of a multivariable function on a domain that is closed and bounded, either in the interior or along the boundary.