Rectangular, cylindrical, and spherical coordinates (introduction & conversion)

[@bprpcalculusbasics]

Notes: www.patreon.com/posts/105279085

[@sazzadhossaindulal3674]

this video went well with my breakfast

[@dinohuntr851]

Me too!

[@jomariraphaellmangahas1991]

When you explain the spherical axis, I love how you explain the laserpoint to the plane

[@bprpcalculusbasics]

Thanks!

[@tobybartels8426]

You can violate ρ ≥ 0 and 0 ≤ φ ≤ π just as much as r ≥ 0 and 0 ≤ θ ≤ 2π. The opportunity doesn't come up as much in 3D; for example, writing the area and volume elements as r dr dθ and ρ² sin φ dρ dφ dθ requires r ≥ 0 and sin φ ≥ 0 (but not ρ ≥ 0) because you need the absolute value. But if you want to parameterize a surface with φ and θ, then you might want to violate these, much like when you parametrize a curve with θ.

[@samin3997]

Literally a fly moves when he demonstrated Lazer pointing analogy to spherical coordinates (5:08)

[@bprpcalculusbasics]

I didn’t know!! 😆

[@abacaabaca8131]

Mathematician have their own logic and philosophy..let them be.

[@urluberlu2757]

Very useful and clearly explained. Thank you!

[@navaneesh.a1293]

best video lecture i've witnessed, thanks !

[@a.charlie2161]

@bprp calculus I think I found a mistake when you explain the spherical coordinates the coordinates ought to be in this order: (rho, phi, theta). You wrote them down as (rho, theta, phi). I just checked my calculus book.

[@raznologija745]

Great KZbin channel,, I love to watch it

[@lynnjones5587]

R can be negative? I thought that it was a distance...so confused!

[@_MATAN_]

Yes, It is the distance from the origin in the XY plain. I don't know why he said it could be negative either.

[@adrianavila6681]

Best video I've seen on 3d coordinates. Can you do area and volume differentials deductions for integrals?

[@khandaa005]

very very useful thanks for your efforts

[@bodesshorts8640]

Yessss calculus 3!!!

[@cdkw2]

Your drawing work so well in providing a 3d view

[@prakritigoswami4326]

As a non math student, this is the best video I could come across that made everything feel simple. THANK YOU SO MUCH. also could relate to the happiness at the end of the video !

[@indhulekha6204]

Very true

[@eustacenjeru7225]

Cool teaching technique

[@physics_enthusiast_Soorya]

Thanks alot for uploading this video! 😊 It will help understand the formulas of quantum mechanics in the Schrödinger's equation of an atom

[@infinity-zb9zf]

Thanks you

[@rovalentina9438]

THANK YOU SO MUCH!!!! I LOVE HOW YOU'RE ENJOYING WHILE TEACHING IT ❤❤

[@delattacobell8948]

Man this stuff is hard to understand but you go at it so well I haven’t even got to this part yet but seeing you do it before hand will help a lot

[@manla8397]

在KZbin 搜尋面上的x 和y axis 似乎方向錯了。

[@brendanward2991]

This is performance art at its best.

[@pdwag198]

Next video: Velocity and acceleration in the cylidrical and spherical plane. 🤣

[@pdwag198]

*vectors

[@Gordy-io8sb]

The grid. A digital frontier.

[@Gordy-io8sb]

I tried to picture clusters of information as they moved through the computer.

[@Gordy-io8sb]

I kept dreaming of a world I thought I'd never see...

[@Gordy-io8sb]

I got in.

[@krzysztofs.8409]

I am slightly confused when I see (r, 𝜃,𝜙) with the meanings of θ and ϕ reversed (a different convention). I would probably keep making mistakes when calculating the rotation :):):)

[@MarcoMa210]

phi as the azimuthal angle is used by those pesky physicists