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

I present and solve a simple example where the curl of a given vector field is sought. The curl is one of the basic operations of "vector calculus".

Such and example is seen in 2nd year university mathematics.
Such an example is seen in 2nd year university mathematics courses.

Category:

Education

Tags:

• curl
• vector
• calculus
• rotation
• Dr
• Chris
• Tisdell
• UNSW
• mathematics
• MATH2019
• Engineering
• Sydney
• educational

[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

[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!

[whatupbuttercupp]

You are a wizard.

[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!!