I am a student physics department (2nd state) Iam a kurdish and my teacher is a kurdish , but when i listen to you i don’t understand all of your words because iam not very good at english language ( but i’ve better understand you than my teacher) i ask you please keep going love from kurdistan, Allah bless you 🤍🤲🏻☺️
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.
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 !
You are a life-saver. This stuff ain’t easy to understand yet you made so simple. Thank you sir. Hopefully you upload more videos on engineering mathematics.
Thank you for the great video. By the way, How do I know whether I should use cylindrical or spherical coordinates in Triple Integrals? I like the Trig Identities on the wall behind you.
@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.
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 :):):)
Notes: www.patreon.com/posts/105279085
When you explain the spherical axis, I love how you explain the laserpoint to the plane
Thanks!
this video went well with my breakfast
Me too!
I am a student physics department (2nd state) Iam a kurdish and my teacher is a kurdish , but when i listen to you i don’t understand all of your words because iam not very good at english language ( but i’ve better understand you than my teacher) i ask you please keep going love from kurdistan, Allah bless you 🤍🤲🏻☺️
Literally a fly moves when he demonstrated Lazer pointing analogy to spherical coordinates (5:08)
I didn’t know!! 😆
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.
This is pretty much the best explanation on youtube! So so simple to follow! Subscribed straight away!
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 !
Very true
Cool teaching technique
You are a life-saver. This stuff ain’t easy to understand yet you made so simple. Thank you sir. Hopefully you upload more videos on engineering mathematics.
Thanks! I'm always open to suggestions.
I do not have any idea about those coordinate systems but this guy made me to understand without even fully explain it ✨
Very useful and clearly explained. Thank you!
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
Your drawing work so well in providing a 3d view
best video lecture i've witnessed, thanks !
very very useful thanks for your efforts
I'm glad you found it useful!
Thank you for the great video.
By the way, How do I know whether I should use cylindrical or spherical coordinates in Triple Integrals?
I like the Trig Identities on the wall behind you.
This is performance art at its best.
Best video I've seen on 3d coordinates. Can you do area and volume differentials deductions for integrals?
Thank you so much!!! This was so helpful!
u saved my life
Great RUclips channel,, I love to watch it
Yessss calculus 3!!!
THANK YOU SO MUCH!!!! I LOVE HOW YOU'RE ENJOYING WHILE TEACHING IT ❤❤
you just gained a follower
Thanks alot for uploading this video! 😊
It will help understand the formulas of quantum mechanics in the Schrödinger's equation of an atom
what books do you recommend for this topic
R can be negative? I thought that it was a distance...so confused!
Yes, It is the distance from the origin in the XY plain. I don't know why he said it could be negative either.
Mathematician have their own logic and philosophy..let them be.
@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.
man just watching it once made me finally able to do my german electrical engineering assignment, the prof didnt really help
bravo well done ,
在RUclips 搜尋面上的x 和y axis 似乎方向錯了。
Thanks you
The grid. A digital frontier.
I tried to picture clusters of information as they moved through the computer.
I kept dreaming of a world I thought I'd never see...
I got in.
Too good
May Allah bless you
Next video: Velocity and acceleration in the cylidrical and spherical plane. 🤣
*vectors
😂😂😂😂😂
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 :):):)
phi as the azimuthal angle is used by those pesky physicists