Multivariable Calculus | The Jacobian

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With the ultimate goal of building a change of variables formula for multiple integrals, we motivate the Jacobian and give some example calculations.

  1. Michael Penn
  2. math
  3. mathematics
  4. calculus
  5. differential equations
  6. Randolph College
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Комментарии
Автор

This is a gem...like other people said this is the best content about Jacobian I found...Nice balance between intuition and formalism.Thank you very much Michael Penn

liviumircea
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Finally! A proper and concise explanation of the Jacobian! Thanks Michael.

azmath
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Best explanation of the jacobian I've seen, thank you so much

pendawarrior
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Mistake at 14:46, it should be a positive 2w

thenateman
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At 3:44 i don't understand why did we take tangent vector for the approximation

Sidd-rbec
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Спасибо, хоть кто-то внятно проводит доказательства

jltitcj
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The final result should be 2w × (u×exp(2v) - u×exp(v + w + vw) )

antoniocosta
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YOU DO SOME REALLY NICE VIDEOS. YOU DON'T GO THROUGH EACH AND EVERY STEP, AND IT'S HARD FOR ME TO KEEP UP WITH YOU SOMETIMES, BUT THAT'S MY PROBLEM BECAUSE I'M SLOW, ; AN OVERALL YOU DO A GOOD JOB A LOT BETTER THAN OTHERS I SEE ON THIS CHANNELS. ONE THING I LIKE ABOUT YOU YOUR DEFINITIONS ARE VERY PRECISE. YOU DON'T MAKE MISTAKES.

ANTOINETTE-nktm
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WELL DOGGY. I'LL BE DANG JIGGIED. THIS WAS A VERY GOOD VIDEO. I'LL BE DANG- JIGGIED !!!

ANTOINETTE-nktm