Curl of a vector field (ex. no.1): Vector Calculus

[whatupbuttercupp]

You are a wizard.

[AquaticSkipper]

Thank you very much! 2nd year maths and you have an amazing way of condensing topics! But is there any chance you could add a link in this video that would take me to a full lecture on the curl, possibly including its physical significance? I would enjoy that!

[DrChrisTisdell]

@AquaticSkipper There is an annotation at 0:36 that gives you a link to a full lecture on curl. Best wishes

[alababaju]

thanks a lot, kept me on schedule!

[NealV17]

Sir you are good :) thanks

[winkworth20]

Just used the video as a little help for some university homework, just to reinforce the knowledge, very clear and consise! More video's PLEASE! :)

[glenneee]

thank you, saved me a lot of headache!

[wiiooiiw]

Beautiful and extremely helpful. Thank You.

[mtrace322]

you are so helpful

[jsm666]

You mention not forgetting the negative sign on the j term when you multiply out the 2x2 sub-determinants. I've seen it done the other way round: j is *positive*, but the "cross-multiplication" (or in this case operator/term matching) is done the other way around (see PC Matthews, Vector Calculus, Springer Undergraduate Mathematics Series). I prefer your way as it means the cross-multiplication is done in the same sense for all 3 terms. Your vids are a lifeline for the self-educating polymath!!

[thefloorjacker]

hi chris ,im in my second year of electrical engineering in dublin ireland ,any chance you could do a section on differeniation calculus please =) starting at the basics?

[Zeeblog]

This is very useful! I'm at Mcgill University in Montreal, and your vids have definitely given me an edge in my Cal 4 class.

[Jonemode]

very good! thank you :)

[DrChrisTisdell]

Thanks Jone: I've now added a link in this video that will take you to a full lecture on the curl, including its physical significance. Enjoy!

[Starcraft88888]

Now notice were not multiplying here were operating on these expressions

I like how my professor forgot to mention this rather important detail. Thank you for your video!

[DrChrisTisdell]

You're welcome.  Happy to help!

[DAWMPHF]

thank u so much DrChris , thats really helpful

[DrChrisTisdell]

You're welcome!

[serenity500]

i get how to calculate curls in 2019 but i don't understand the concept. is there a chance that you can elaborate more on the concept of curl on youtube?

[DrChrisTisdell]

Serenity: I'll definitely post something on what the (scalar) curl really means in terms of "circulation" and rotation.....hopefully soon!

[z8990k]

I don't quite understand why curl is defined in such way.. is the idea "created" by someone?

[DrChrisTisdell]

As far as I know, the idea of "curl" dates back to an applied mathematician J. Gibbs (who was a student of James Maxwell) . He not only introduced "curl" but also introduced "div" (divergence).

In very basic terms, "curl" measures circulation density while "div" measures flux (flow) density.

I'll try to post some videos on this at some stage.

[DrChrisTisdell]

z8990k: I've now added a link in this video that will take you to a full lecture on the curl, including its physical significance. Enjoy!

[z8990k]

Thanks a lot!

[balaaero]

may i know how to go that new link. ( i am new to you tube) and thanks a lot for ur work...

[DrChrisTisdell]

Serenity: I've now added a link in this video that will take you to a full lecture on the curl, including its physical significance. Enjoy!