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5๏ธโƒฃMultivariable Calculus
Key Terms

343 essential vocabulary terms and definitions to know for your Multivariable Calculus exam

Study Multivariable Calculus โ†’

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||v|| for magnitude
โˆ‚f/โˆ‚x
โˆ‚f/โˆ‚y
โˆ‚ยฒf/โˆ‚xยฒ
โˆ‚ยฒf/โˆ‚xโˆ‚y
โˆ‡ (Nabla Operator)
โˆ‡ ยท f
โˆ‡ ร— f
โˆ‡f
โˆ‡f ยท u
โˆซc
โˆซc fยทdr
โˆฎ

A

A ยท b
A ยท b = |a| |b| cos(ฮธ)
A ร— b
A ร— b = |a||b| sin(ฮธ) n
Additivity
Algebraic Operations on Continuous Functions
Angle between vectors
Angular Velocity
Approximating Surface Behavior
Arc Length
Arc length formula
Arc length parameterization
Area Calculation Using Green's Theorem
Area of parallelogram
Area Transformation
Area under surface
Average value
Axes

B

Binormal vector
Boundary Conditions
Boundary of a Surface
Bounded Function

C

Calculating Flux Across Surfaces
Cartesian Coordinates
Center of Mass
Centripetal acceleration
Chain Rule
Chain rule for multivariable functions
Change of Variables
Change of Variables Theorem
Charge Density
Circle in 3D Space
Circular motion
Circulation
Circulation around a curve
Circulation in Fluid Flow
Clairaut's Theorem
Closed and Bounded Surfaces
Closed Curves
Closed path test
Closed Sets
Commutative Property
Component functions
Composition of continuous functions
Composition of functions
Computer graphics
Conditions for Continuity
Cones
Connected Sets
Connection to Area
Conservative Vector Field
Continuity
Continuity for Multivariable Functions
Continuity of f
Continuity of the vector field
Continuous Function
Continuously Differentiable
Contour plot
Coordinate planes
Cross product
Curl
Curl Test