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5️⃣Multivariable Calculus
Key Terms

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

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||v|| for magnitude
∂²f/∂x²
∂²f/∂x∂y
∇ (Nabla Operator)

A

Additivity
Algebraic Operations on Continuous Functions
Area under surface
Average value

B

Boundary Conditions
Boundary of a Surface

C

Center of Mass
Charge Density
Circle in 3D Space
Circulation in Fluid Flow
Clairaut's Theorem
Closed Curves
Commutative Property
Computer graphics
Curl Test
Cylindrical Coordinates
Cylindrical surface

D

Definite integral
Density Function
Dirichlet Boundary Condition
Distance from point to plane
Distributive Property
Domain and Range
Double Integral in Polar Coordinates
Dr
Ds
Dv
Dx dy

E

Electric Flux
Electromagnetic fields
Ellipse
Epsilon-delta definition
Error Estimation
Evaluating at a point
Existence of Limits
Extreme Value Theorem

F

F: ℝ² → ℝ
F_x
F_xy
F_y
F_yx
Flow of fluid through a surface
Fluid flow
Force vector
Fourier's Law of Heat Conduction
Frenet-Serret Formulas

G

Gauss's Law
Gradient method
Graphing Calculators

H

Heat generation
Heat transfer
Higher-Order Partial Derivatives

I

Implicit Differentiation
Implicit Function Theorem
Indefinite Integral
Infinitesimal area element
Inner integral
Integration
Integration over Regions
Intermediate Value Theorem
Iterated Integrals
Iterated Integration

J

Jacobian Determinant
Jacobian Matrix
Jump Discontinuity

K

Kinematic Equations

L

Lagrange Multipliers
Laplace Operator
Level Curves
Level Surfaces
Limits of Integration