Calculus IV Key Terms & Vocabulary | Fiveable

All Key Terms
Calculus IV

∞Calculus IV
Key Terms

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

Study Calculus IV →

Browse All A-Z

#

ε-δ definition

λ (lambda) as a multiplier

ρ = √(x² + y²)

φ = tan⁻¹(y/x)

∂²f/∂x∂y

∂²f/∂y∂x

∇ (Nabla Operator)

∇f = (fx, fy, fz)

∫c f(x, y, z) ds

∬_d f(x,y) da

∬s (∇ × f) · ds

2D Vector Field

3d contour plot

3D Vector Field

A

Absolute convergence

Absolute extrema

Absolute integrability

Absolute maximum

Absolute minimum

Acceleration vector

Active Constraints

Additivity over paths

Analytic function

Angular Displacement

Angular Function

Applications of Taylor Series

Approaching from different directions

Arc Length Formula

Area Calculation

Area in polar coordinates

Area under the surface

Augustin-Louis Cauchy

Azimuthal angle

B

B(t) = t(t) × n(t)

Binding constraints

Binomial distribution

…

Study Content & Tools

Study Guides FRQs + AI Scoring Practice Questions Glossary Score Calculators

Company

What's New?Pricing Bulk Discounts Testimonials FAQs Email us

Resources

AP Exam Schedule 2026 AP Classes AP Classroom Easiest AP Classes Hardest AP Classes AP vs IB AP vs Dual Enrollment AP vs Honors Classes AP Scholar Awards

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 anatomy 🐇 honors biology 👩🏽‍🔬 honors chemistry 💲 honors economics 📐 honors geometry ⚾️ 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

hs classes

🏛️ alabama history ⛰️ appalachian studies 🌴 california history 🌍 earth science 🌐 ethnic studies 🐊 florida history 🍑 georgia history 🌎 global studies 🌺 hawaiian studies 📰 journalism 🪶 native american studies 🌵 new mexico history 🤠 oklahoma history ⚗️ physical science 🎙️ speech and debate 🤝 texas government 🤠 texas history 🌲 washington state history 🕊️ world religions

Refunds Terms Privacy CCPA

© 2026 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

Study Content & Tools

Study Guides FRQs + AI Scoring Practice Questions Glossary Score Calculators

Company

What's New?Pricing Bulk Discounts Testimonials FAQs Email us

Resources

AP Exam Schedule 2026 AP Classes AP Classroom Easiest AP Classes Hardest AP Classes AP vs IB AP vs Dual Enrollment AP vs Honors Classes AP Scholar Awards

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 anatomy 🐇 honors biology 👩🏽‍🔬 honors chemistry 💲 honors economics 📐 honors geometry ⚾️ 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

hs classes

🏛️ alabama history ⛰️ appalachian studies 🌴 california history 🌍 earth science 🌐 ethnic studies 🐊 florida history 🍑 georgia history 🌎 global studies 🌺 hawaiian studies 📰 journalism 🪶 native american studies 🌵 new mexico history 🤠 oklahoma history ⚗️ physical science 🎙️ speech and debate 🤝 texas government 🤠 texas history 🌲 washington state history 🕊️ world religions

Refunds Terms Privacy CCPA

© 2026 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.

Study Content & Tools

Study Guides FRQs + AI Scoring Practice Questions Glossary Score Calculators

Company

What's New?Pricing Bulk Discounts Testimonials FAQs Email us

Resources

AP Exam Schedule 2026 AP Classes AP Classroom Easiest AP Classes Hardest AP Classes AP vs IB AP vs Dual Enrollment AP vs Honors Classes AP Scholar Awards

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 anatomy 🐇 honors biology 👩🏽‍🔬 honors chemistry 💲 honors economics 📐 honors geometry ⚾️ 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

hs classes

🏛️ alabama history ⛰️ appalachian studies 🌴 california history 🌍 earth science 🌐 ethnic studies 🐊 florida history 🍑 georgia history 🌎 global studies 🌺 hawaiian studies 📰 journalism 🪶 native american studies 🌵 new mexico history 🤠 oklahoma history ⚗️ physical science 🎙️ speech and debate 🤝 texas government 🤠 texas history 🌲 washington state history 🕊️ world religions

Refunds Terms Privacy CCPA

© 2026 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

Study Content & Tools

Study Guides FRQs + AI Scoring Practice Questions Glossary Score Calculators

Company

What's New?Pricing Bulk Discounts Testimonials FAQs Email us

Resources

AP Exam Schedule 2026 AP Classes AP Classroom Easiest AP Classes Hardest AP Classes AP vs IB AP vs Dual Enrollment AP vs Honors Classes AP Scholar Awards

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 anatomy 🐇 honors biology 👩🏽‍🔬 honors chemistry 💲 honors economics 📐 honors geometry ⚾️ 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

hs classes

🏛️ alabama history ⛰️ appalachian studies 🌴 california history 🌍 earth science 🌐 ethnic studies 🐊 florida history 🍑 georgia history 🌎 global studies 🌺 hawaiian studies 📰 journalism 🪶 native american studies 🌵 new mexico history 🤠 oklahoma history ⚗️ physical science 🎙️ speech and debate 🤝 texas government 🤠 texas history 🌲 washington state history 🕊️ world religions

Refunds Terms Privacy CCPA

© 2026 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.