3D divergence theorem intuition | Divergence theorem | Multivariable Calculus | Khan Academy

Channel:
Subscribers:
8,980,000
Published on ● Video Link: https://www.youtube.com/watch?v=XyiQ2dwJHXE



Duration: 9:14
261,419 views
1,432


Intuition behind the Divergence Theorem in three dimensions

Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem/v/divergence-theorem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus

Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-7?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus

Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to KhanAcademy’s Multivariable Calculus channel:
https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1
Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy




Other Videos By Khan Academy


2012-06-27Divergence theorem proof (part 4) | Divergence theorem | Multivariable Calculus | Khan Academy
2012-06-27Divergence theorem proof (part 3) | Divergence theorem | Multivariable Calculus | Khan Academy
2012-06-27Divergence theorem proof (part 2) | Divergence theorem | Multivariable Calculus | Khan Academy
2012-06-27Divergence theorem proof (part 1) | Divergence theorem | Multivariable Calculus | Khan Academy
2012-06-27Type III regions in three dimensions | Divergence theorem | Multivariable Calculus | Khan Academy
2012-06-27Type II regions in three dimensions | Divergence theorem | Multivariable Calculus | Khan Academy
2012-06-27Type I regions in three dimensions | Divergence theorem | Multivariable Calculus | Khan Academy
2012-06-26Probability and the Monty Hall problem | Probability and combinatorics | Precalculus | Khan Academy
2012-06-26Why we got zero flux in divergence theorem example 1 | Multivariable Calculus | Khan Academy
2012-06-26Divergence theorem example 1 | Divergence theorem | Multivariable Calculus | Khan Academy
2012-06-263D divergence theorem intuition | Divergence theorem | Multivariable Calculus | Khan Academy
2012-06-25Undefined and indeterminate | Functions and their graphs | Algebra II | Khan Academy
2012-06-23Why zero divided by zero is undefined/indeterminate | Algebra II | Khan Academy
2012-06-23Why dividing by zero is undefined | Functions and their graphs | Algebra II | Khan Academy
2012-06-23Subtracting a negative = adding a positive | Pre-Algebra | Khan Academy
2012-06-23Stokes' theorem proof part 7 | Multivariable Calculus | Khan Academy
2012-06-23Stokes' theorem proof part 6 | Multivariable Calculus | Khan Academy
2012-06-23Stokes' theorem proof part 5 | Multivariable Calculus | Khan Academy
2012-06-23Stokes' theorem proof part 4 | Multivariable Calculus | Khan Academy
2012-06-22Why a negative times a negative makes intuitive sense | Pre-Algebra | Khan Academy
2012-06-22Why a negative times a negative is a positive | Pre-Algebra | Khan Academy