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

Definition of the Laplacian of a scalar or vector field.
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[@ProfJeffreyChasnov]

Find other Vector Calculus videos in my playlist czcams.com/play/PLkZjai-2JcxnYmkg6fpzz4WFumGVl7MOa.html

[@ignisGladius]

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!

[@user-rx4id8uv2s]

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

[@JL-zv1bs]

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-

[@ProfJeffreyChasnov]

We use the dot product and cross product notation with differential operators. The definitions are similar to that for vectors, but it cannot be exactly the same because these are operators and not vectors. As long as you know what it means, everyone makes use of this notation.

[@ProfJeffreyChasnov]

BTW, I think the course would be a better overall experience on Coursera, rather than CZcams. It's free as an auditor on Coursera, also.

[@razanalhaddad7635]

Your videos were very helpful. I highly appreciate it.

[@ericdekemp8447]

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

[@citrine615]

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

[@akashrawat4215]

Very well explained Sir. Keep up the good work.

[@mech_be_a_38_sureshrathod86]

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

[@ramadhanmuhammadnaufal4135]

man, you looked like amazon founder

[@ProfJeffreyChasnov]

So I have been told by CZcams watchers.

[@saviodias3803]

@@ProfJeffreyChasnov And you're called Jeff too!

[@funnyvinesmastimai.5135]

That's very nice
..

[@morf5970]

Thank you so much for clarifying

[@Shah66666]

Allab bless you Man 🌟

[@Jay-ib7tr]

Thanku

[@Kyutiepatootie1016]

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

[@JLee-xl4dt]

this is fantastic!!!

[@aravindhs5118]

thank u so much...

[@aidangardiner3762]

How does he write backwards? What a genius /s

[@aadityamishra5066]

dude its mirrored. He isn't writing backward XD

[@koffeltuff1231]

hey bro he isnt writing it backwards. the video is mirrored so that what he is writing turns out to be readable.

[@kevinbackstreet5003]

Should have done a vector laplacian example, sad day

[@namename3130]

Dr evil's voice

[@himasagarb9221]

From when did Jeff bezos start teaching Maths

[@loganschilling1896]

Is he writing backwards for this entire video

[@blueslime5855]

I believe he would write normally then flip the screen

[@educatedbarbarian]

kid named finger:

[@skat3r430]

Thanks for nothing bud