Laplacian of a scalar or vector field | Lecture 20 | Vector Calculus for Engineers

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Definition of the Laplacian of a scalar or vector field.

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Very good Jeffrey. Provided a condensed view which books don't do. The future generations need more people like you. Keep up the good work!

ignisGladius
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you are my absolute hero
I don't know if you are a professor of a college or just a genius, but thank you

고용준-el
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thank you so much for both the great videos and the perfect lecture notes!!!

lamashere
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Jeffrey Chasnov, I wish I would've had you as a teacher when I was 20. That said, I feel that there is something wrong here. When you say the differential operator is dotted, one would think this is a dotted product. Yet, I have enjoyed your prior 19 videos and have understood that a dotted product is a product-a particular type of multiplication-. However, as you repeat several times, we are deriving the derivative here (second derivative or second differential); so we are operating but not with a product operation. Then, since you keep saying "square", when there is a second derivative, that gets me all confused. Please, Jeffrey, let me know whether I have lost the right mathematical path or this was just a bit of a slight poor choice of language. Whatever it is, thanks for your videos . You are one of the best teachers hands down and you are helping me to regain my love for math. All the best - David-

JL-zvbs
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Your videos were very helpful. I highly appreciate it.

razanalhaddad
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Very well done indeed! Thank you for doing this Jeffrey.

ericdekemp
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How did you take double derivative? Iam having confusion that it should be square of differential

mech_be_a__sureshrathod
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Laplacian of the sum of the C. coordinated squares is 2(x +y + z)

citrine
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Very well explained Sir. Keep up the good work.

akashrawat
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How does he write backwards? What a genius /s

aidangardiner
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You are so awesome. You explain really well and I love your accent.

Kyutiepatootie
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Should have done a vector laplacian example, sad day

kevinbackstreet
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From when did Jeff bezos start teaching Maths

himasagarb
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Is he writing backwards for this entire video

loganschilling