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  1. All Key Terms
  2. Calculus IV

Browse all Calculus IV Key Terms

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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
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every AP exam is fiveable

Fiveable
Study Content & Tools
Study GuidesPractice QuestionsGlossaryScore Calculators
Company
Get $$ for referralsPricingTestimonialsFAQsEmail us
Resources
AP ClassesAP Classroom
history
🌎 ap world history🇺🇸 ap us history🇪🇺 ap european history
social science
✊🏿 ap african american studies🗳️ ap comparative government🚜 ap human geography💶 ap macroeconomics🤑 ap microeconomics🧠 ap psychology👩🏾‍⚖️ ap us government
english & capstone
✍🏽 ap english language📚 ap english literature🔍 ap research💬 ap seminar
arts
🎨 ap art & design🖼️ ap art history🎵 ap music theory
science
🧬 ap biology🧪 ap chemistry♻️ ap environmental science🎡 ap physics 1🧲 ap physics 2💡 ap physics c: e&m⚙️ ap physics c: mechanics
math & computer science
🧮 ap calculus ab♾️ ap calculus bc📊 ap statistics💻 ap computer science a⌨️ ap computer science p
world languages
🇨🇳 ap chinese🇫🇷 ap french🇩🇪 ap german🇮🇹 ap italian🇯🇵 ap japanese🏛️ ap latin🇪🇸 ap spanish language💃🏽 ap spanish literature

go beyond AP

high school exams
✏️ PSAT🎓 Digital SAT🎒 ACT
honors classes
🍬 honors algebra II🐇 honors biology👩🏽‍🔬 honors chemistry💲 honors economics⚾️ honors physics📏 honors pre-calculus📊 honors statistics🗳️ honors us government🇺🇸 honors us history🌎 honors world history
college classes
👩🏽‍🎤 arts👔 business🎤 communications🏗️ engineering📓 humanities➗ math🧑🏽‍🔬 science💶 social science
TermsPrivacyCCPA
© 2025 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.