Calculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) **Full Course** Divergence Theorem example: Flux across unit cube // Vector Calculus
Divergence Theorem example: Flux across unit cube // Vector Calculus Transcript and Lesson Notes
In this example we use the divergence theorem to compute the flux of a vector field across the unit cube. Instead of computing six surface integral, the divergence theorem let's us compute one triple integral of the dive
Quick Summary
In this example we use the divergence theorem to compute the flux of a vector field across the unit cube. Instead of computing six surface integral, the divergence theorem let's us compute one triple integral of the dive
Key Takeaways
- Review the core idea: In this example we use the divergence theorem to compute the flux of a vector field across the unit cube. Instead of computing six surface integral, the divergence theorem let's us compute one triple integral of the dive
- Understand how Solution fits into Divergence Theorem example: Flux across unit cube // Vector Calculus.
- Understand how Example fits into Divergence Theorem example: Flux across unit cube // Vector Calculus.
- Understand how math fits into Divergence Theorem example: Flux across unit cube // Vector Calculus.
- Understand how Divergence Theorem fits into Divergence Theorem example: Flux across unit cube // Vector Calculus.
Key Concepts
Full Transcript
In this example we use the divergence theorem to compute the flux of a vector field across the unit cube. Instead of computing six surface integral, the divergence theorem let's us compute one triple integral of the divergences of the vector field over this unit cube. MY VECTOR CALCULUS PLAYLIST: ►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa OTHER COURSE PLAYLISTS: ►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS ►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 ►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m ► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n ►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd ►DIFFERENTIAL EQUATIONS: https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1 OTHER PLAYLISTS: ► Learning Math Series https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw ►Cool Math Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho BECOME A MEMBER: ►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett SOCIALS: ►Twitter (math based): http://twitter.com/treforbazett ►Instagram (photography based): http://instagram.com/treforphotography
Lesson FAQs
What is Divergence Theorem example: Flux across unit cube // Vector Calculus about?
In this example we use the divergence theorem to compute the flux of a vector field across the unit cube. Instead of computing six surface integral, the divergence theorem let's us compute one triple integral of the dive
What key concepts are covered in this lesson?
The lesson covers Solution, Example, math, Divergence Theorem, Flux across Surface.
What should I learn before Divergence Theorem example: Flux across unit cube // Vector Calculus?
Review the previous lessons in Calculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) **Full Course**, then use the transcript and key concepts on this page to fill any gaps.
How can I practice after this lesson?
Practice by applying the main concepts: Solution, Example, math, Divergence Theorem.
Does this lesson include a transcript?
Yes. The full transcript is visible on this page in indexable HTML sections.
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