Multivariable Calculus | Introduction to double integrals

[@artsmith1347]

Very clearly presented. Also the line integral video explaining it as finding the area of a curtain. They both helped me to get better grasps of these types of integrals than I had before. Well done and thank you.

[@chessematics]

Very energetic teaching. This channel evolved a lot in a year

[@zz-il6kt]

you're the best! thanks for sharing these lectures :)

[@qubikstheman]

What a nice way to teach. Thank you very much!

[@chaoticoli09]

I liked the video a lot. I feel as if I would be confident enough to derive this on my own with students who are curious now. The only thing I would lack is the justification for why you're allowed to pull the n limit inside (around 9:30 in the video). How do we know these are necessarily equal? Sorry if this is elementary.

[@MichaelPennMath]

Good question. The indices i and j and upper bounds m and n are independent. So really what we are doing is bringing the n limit inside an "unrelated" finite sum.

[@ZipDDragon]

Thank you.

[@lyudvigfeyerbax8659]

❤❤❤

[@goatyagiz]

goated