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5️⃣Multivariable Calculus
Key Terms

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

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||v|| for magnitude
∂²f/∂x∂y
∇ (Nabla Operator)

B

Boundary Conditions
Boundary of a Surface

C

Charge Density
Circle in 3D Space
Circulation in Fluid Flow
Clairaut's Theorem
Closed Curves
Curl Test
Cylindrical Coordinates
Cylindrical surface

D

Density Function
Dirichlet Boundary Condition
Distance from point to plane
Double Integral in Polar Coordinates

E

Epsilon-delta definition
Error Estimation
Existence of Limits
Extreme Value Theorem

F

Flow of fluid through a surface
Fluid flow
Frenet-Serret Formulas

G

Gradient method

H

Higher-Order Partial Derivatives

I

Implicit Function Theorem
Infinitesimal area element
Inner integral
Integration over Regions
Iterated Integrals
Iterated Integration

J

Jacobian Determinant
Jacobian Matrix

L

Lagrange Multipliers
Laplace Operator
Level Curves
Level Surfaces

M

Mass of a Solid
Mean Curvature
Mixed partial derivative

N

Neumann Boundary Condition
Normal Acceleration
Normal Line
Numerical Integration

O

Order of Integration
Ordered triple notation
Orientable Surface
Oriented surface
Osculating Circle
Outer Integral

P

Parallelogram Law
Parameterization of a surface
Parametric Representation
Polar curves

S

Scalar parameter
Scalar Potential

T

Tangent Vector
Transforming to simplify limits

U

Unit Tangent Vector

V

Vector Equations
Volume integral
Volume of a solid

W

Work done by a force
Work done by a force field

X

X-coordinate
Xy-plane
Xz-plane

Y

Yz-plane

Z

Z-coordinate