Calculus 3: Lecture 12.5 Arc Length and Curvature

[@JohnFL]

When you mentioned having a calc professor who never actually did an example, I was like yes! I can identify (unfortunately). All I get are PowerPoints with the steps (and videos where he reads the steps from said PowerPoints) and he never actually does all the work and all the algebra associated with it. That is why I come here to actually understand it instead of memorizing the formulas to get an A. BTW I learned in Spanish 2 that the nap Spanish people take is called the siesta, it's a 20 minute nap after lunch (their largest meal) to sleep it off. In your words, extra knowledge!! Thanks:)

[@CosmicAerospace]

Been grinding your videos for the last 3 days. Great stuff, watched your videos for DE and had a blast!! I am in Electrical Engineering and am using the textbook 'Engineering and Mathematics by Dennis G. Zill & Warren S. Wright', this one book was the BEST textbook I've ever had. It has it all, I have the 5th edition but their series are just great and your lectures are perfect in combination with the book. Very easy-to-understand writing and a lot of exercises. Highly recommend for ANY 1st - 2nd year engineering students. Thanks again for your lectures, hope you can do more of these in the future!! :)

[@TheMathSorcerer]

Thank you!!

[@vicg3460]

Your videos are a life saver. Thanks.

[@andradaduminica2451]

you are the absolute best wish u were my prof

[@jkendall2349]

another great video.

[@TheMathSorcerer]

Thanks again!

[@maxpercer7119]

That's an interesting curve, parameterized by arclength, at 42:00 . r(s) = ( 1+ √2/2 s ) i + (1 - √2/2 s )j . We can graph it in all its glory on desmos (thanks to it being 2d) www.desmos.com/calculator/hgmj7knore It looks like our curve starts at the point r(0) = (1,1), and for positive s>0 , r(s) traces out a line with slope of -1. When we travel s=√2 units, which is the length of a diagonal, we would expect to reach the point (2,0). And we do since r(√2) = 2i + 0j.

[@buddhimangurung8929]

its really amazing

[@victorcenteno5301]

Que denso

[@maxpercer7119]

I think its pronounced Lie-b-nitz ;o

[@TheMathSorcerer]

😄

[@davidsoto4394]

@@TheMathSorcerer Thank you for this video.

[@carultch]

E before I in German is sounded as I. Like seismic and height. The tz is a way to remind English speakers that the z sounds like a TS, so we don't think the ending rhymes with fizz. The original spelling is Leibniz.