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∞Calculus IV
Key Terms

804 essential vocabulary terms and definitions to know for your Calculus IV exam

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(3x^2 + 1)^5
(ρ, φ, z)
ε-δ definition
θ
λ
λ (lambda) as a multiplier
ρ
ρ = √(x² + y²)
φ (phi)
φ = tan⁻¹(y/x)
∂/∂x
∂f/∂x
∂f/∂y
∂v
∂²f/∂x²
∂²f/∂x∂y
∂²f/∂y²
∂²f/∂y∂x
∇ (Nabla Operator)
∇ · f
∇ × f
∇f
∇f = (fx, fy, fz)
∇f · u
∇·f
∫
∫_0^(2π)
∫_0^r
∫_c
∫c f · dr
∫c f(x, y, z) ds
∫∫
∫∫∫
∬
∬_d f(x,y) da
∬r
∬s (∇ × f) · ds
∭_v div f dv
∮
∮c
2D Vector Field
3d contour plot
3D Space
3D Vector Field

A

Absolute convergence
Absolute Error
Absolute extrema
Absolute integrability
Absolute maximum
Absolute minimum
Acceleration vector
Active Constraints
Additivity
Additivity over paths
Ampère's Law
Analytic function
Angle
Angular Displacement
Angular Function
Applications of Taylor Series
Approaching from different directions
Arc Length
Arc Length Formula
Archimedes
Area Calculation
Area element
Area in polar coordinates
Area under the surface
Augustin-Louis Cauchy
Azimuthal angle

B

B(t) = t(t) × n(t)
Barycenter
Bernoulli
Binding constraints
Binomial distribution