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

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Күн бұрын

Coordinate conversion formulas notes: / 105279085
What are the rectangular, cylindrical, and spherical coordinate systems in the 3-dimensional space? This lesson provides an intuitive introduction to these coordinate systems and their conversion formulas. This is a must-know topic for your calculus 3 class. Subscribe to ‪@bprpcalculusbasics‬ for more calculus tutorials.
Here's the previous version • Previous version but I just wanted to make a better one for you!
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0:00 The 3 coordinate systems in the 3-dimensional space
0:20 Rectangular vs cylindrical
4:35 Rectangular vs spherical
12:26 Cylindrical vs spherical

Пікірлер: 25

@bprpcalculusbasics 2 ай бұрын

Notes: www.patreon.com/posts/105279085

@sazzadhossaindulal3674 2 ай бұрын

this video went well with my breakfast

@dinohuntr851 2 ай бұрын

Me too!

@jomariraphaellmangahas1991 2 ай бұрын

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

@bprpcalculusbasics 2 ай бұрын

Thanks!

@tobybartels8426 2 ай бұрын

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 2 ай бұрын

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

@bprpcalculusbasics 2 ай бұрын

I didn’t know!! 😆

@cdkw2 2 ай бұрын

Your drawing work so well in providing a 3d view

@urluberlu2757 2 ай бұрын

Very useful and clearly explained. Thank you!

@raznologija745 2 ай бұрын

Great KZfaq channel,, I love to watch it

@adrianavila6681 2 ай бұрын

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

@bodesshorts8640 2 ай бұрын

Yessss calculus 3!!!

@abacaabaca8131 2 ай бұрын

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

@brendanward2991 2 ай бұрын

This is performance art at its best.

@lynnjones5587 2 ай бұрын

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

@_MATAN_ 2 ай бұрын

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

@manla8397 2 ай бұрын

在KZfaq 搜尋面上的x 和y axis 似乎方向錯了。

@pdwag198 2 ай бұрын

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

@pdwag198 2 ай бұрын

*vectors

@Gordy-io8sb 2 ай бұрын

The grid. A digital frontier.

@Gordy-io8sb 2 ай бұрын

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

@Gordy-io8sb 2 ай бұрын

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

@Gordy-io8sb 2 ай бұрын

I got in.

@krzysztofs.8409 2 ай бұрын

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 :):):)