TOC
Courses
Blog
Twitch
Shop
Search
Search subtopics
Search all
Toggle menu
Courses
Blog
Subreddit
Discord
Log in
Sign up
▾
Calculus 3
▸
3-dimensional space
•
Vector functions
•
Cylindrical coordinates
•
Intro to calc 3
•
Proving a property of the cross product
•
Proving equivalence of the dot product definitions
•
Relating the cross product to the area of a parallelogram
▸
Partial derivatives
•
General chain rule
•
Maximizing the product of three real numbers, given their real number sum
•
Intro to partial derivatives
•
First order partial derivatives
•
Directional derivatives
•
Higher order partial derivatives
▸
Applications of partial derivatives
•
Tangent planes and linear approximations
•
Special points of multivariable functions
▸
Lagrange multipliers
•
Lesson
▸
Multiple integrals
•
Midpoint rule for double integrals
•
Riemann sums for double integrals
•
Average value of a double integral
•
Intro to double integrals
•
Double integrals over rectangular regions
•
Double integrals over general regions
•
Iterated integrals
•
Changing the order of integration
•
Triple integrals
▸
Line integrals
•
Conservative vector fields
•
Green's theorem
▸
Surface integrals
•
Curl and divergence
›
Resources for undergrads
Calculus 3
3-dimensional space
Partial derivatives
Applications of partial derivatives
Multiple integrals
Line integrals
Surface integrals
Other resources
To help you index:
Paul's Online Notes
Calc 3 playlist by Math Fortress
Calc 3 playlist by Linda Green
Calc 3 playlist by Professor Leonard
Calc 3 playlist by Evans Lawrence
Textbooks
Single and Multivariable Calculus: Early Transcendentals
by David Guichard
PDF
Single and Multivariable Calculus: Late Transcendentals
by David Guichard
PDF
Active Calculus Multivariable
by Matthew Boelkins, David Austin, and Steven Schlicker
PDF
Reform Calculus: Part III
by Marcel B. Finan
PDF
Multivariable Calculus
by George Cain and James V. Herod
PDF
Elementary Calculus: An Infinitesimal Approach
by H. Jerome Keisler
PDF
Calculus of One and Many Variables
by Kenneth Kuttler
PDF
Exercises and Problems in Calculus
by John M. Erdman
PDF
Calculus
by Gilbert Strang
PDF
Contemporary Calculus
by Dale Hoffman
Read now
Applied Calculus
by David Lippman, Dale Hoffman, and Shana Calaway
PDF
Calculus III
by Jerrold Marsden and Alan Weinstein
PDF