Change of Variables & The Jacobian | Multi-variable Integration
258.5 هزار بار بازدید -
5 سال پیش
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You've reached the end of
You've reached the end of Multi-variable Calculus! In this video we generalized the good old "u-subs" of first year calculus to multivariable case with a multivariable change of variables. The trick is to set up a new coordinate system where the messy region before is now very nice, perhaps just a rectangle. We have to be careful though as we have to multiply our integrands by a scaling factors called the Jacobian. In this video I sketch the intuition behind the Jacobian and compute it out in an example.
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YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
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►Full Multivariable Calculus Playlist: Calculus III: Multivariable Calculus ...
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Other Course Playlists:
►CALCULUS I: Calculus I (Limits, Derivative, Integ...
► CALCULUS II: Calculus II (Integration Methods, Ser...
►DISCRETE MATH: Discrete Math (Full Course: Sets, Log...
►LINEAR ALGEBRA: Linear Algebra (Full Course)
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► Want to learn math effectively? Check out my "Learning Math" Series:
5 Tips To Make Math Practice Problems...
►Want some cool math? Check out my "Cool Math" Series:
Cool Math Series
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►Follow me on Twitter: Twitter: treforbazett
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This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.
BECOME A MEMBER:
►Join: @drtrefor
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****************************************************
YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************
►Full Multivariable Calculus Playlist: Calculus III: Multivariable Calculus ...
****************************************************
Other Course Playlists:
►CALCULUS I: Calculus I (Limits, Derivative, Integ...
► CALCULUS II: Calculus II (Integration Methods, Ser...
►DISCRETE MATH: Discrete Math (Full Course: Sets, Log...
►LINEAR ALGEBRA: Linear Algebra (Full Course)
***************************************************
► Want to learn math effectively? Check out my "Learning Math" Series:
5 Tips To Make Math Practice Problems...
►Want some cool math? Check out my "Cool Math" Series:
Cool Math Series
****************************************************
►Follow me on Twitter: Twitter: treforbazett
*****************************************************
This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.
BECOME A MEMBER:
►Join: @drtrefor
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
5 سال پیش
در تاریخ 1398/09/27 منتشر شده
است.
258,508
بـار بازدید شده