upgrade
upgrade
  1. All Key Terms
  2. Multivariable Calculus

Browse all Multivariable Calculus Key Terms

#

||v|| for magnitude
∂f/∂x
∂f/∂y
∂²f/∂x²
∂²f/∂x∂y
∇ (Nabla Operator)
∇ · f
∇ × f
∇f
∇f · u
∫c
∫c f·dr
∮

A

A · b
A · b = |a| |b| cos(θ)
A × b
A × b = |a||b| sin(θ) 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
Fiveable
Study Content & Tools
Study GuidesPractice QuestionsGlossaryScore Calculators
Company
Get $$ for referralsPricingTestimonialsFAQsEmail us
Resources
AP ClassesAP Classroom

every AP exam is fiveable

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.

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.