Why the hell physicists have to disagree with mathematicians? 😆 I'm a physics student and I agree with the mathematician's version cause that's what we learn in polar coordinate before getting into spherical version.
I like theta much more for the angle between the projection of the vector onto x,y plane and the positive x axis because it is what we are used to for all of the math before Calculus III before introducing the z axis (when dealing with the (x,y) plane). It is easier to remember for me, but that's mostly a matter of personal preference.
honestly, you're an amazing teacher andrew! will be doing my undergrad y1 for physics this coming month, excited to dive deep into the world of physics
I was reading through the second edition of "Introduction to Electrodynamics" by Griffiths, and found the conversions (p. 45), but couldn't really understand them, as no derivation was shown; however now that i watched your video its crystal clear. Thanks! Sometimes when you don't understand something (e.g. a derivation, or a result) the best thing to do, is try it out yourself.. (but couldn't since i was travelling in a bus).. Danke!
Wow sir... This was the only perfect video available on CZcams. Sir my deep request to u, please upload these types of calculus videos on derivations. Thank you sir 😍
DUDE, I'm new the channel so just saying hi! but seriously, I'm currently taking E&M and my grade on the first exam was a 72 and I scared shitless.. ill be watching out for your videos to help me out!
Ill definitely look into to it thank you! Ive come to the conclusion that its a rinse and repeat process. I just have to come to terms with the fact that I'm going to fail miserably a million times and one before I finally crack the code to success in my journey through physics. I look forward to it. P.S. keep up the great work!
Something I had a realllly hard time with in E&Mwas reminding myself that this is all trying to describe something that's real. I had to work towards not just looking at it as one math problem after another, and start asking myself what I would expect the solutions to look like and if they made sense physically. Asymptotic behavior goes a long way!
Andrew Dotson exactly what my Professor informed me. He said stop looking at these problems algebraically but more from a geometric perspective. That it’s important to justify the answer.
The notation used in this video is the dominant one (not just in physics but also in engineering) while the notation used in most North American calculus texts is almost never used beyond Calc III. That means anyone planning to take advanced math courses should be following this video, regardless of field of specialization.
You're putting out a lot of content; hope you're enjoying it as much as the rest of us.Also, can we just make messy hair a staple characteristic of mathematicians? (I'm down.)
Thanks. Very helpful. Until now, I’ve always thought of x=r sin theta times cos theta as meaning ...r sin theta tell you the degree to which cos theta is maximized. As if r sin theta is like a potentiometer working on cos theta. If r sin theta is zero then cos theta is minimized. If r sin theta is 1 then cos theta is a full sin theta.
I love how passive aggressive he is when talking about whether to use the convention of mathematicians or physicists but proceeds to use the physics convention lmao
The theta swapping makes perfect sense once you realize physicists work sitting down and looking forward while mathematicians work standing up and looking down, you know, on the physicists. 😉
Why is there disagreement between whether or not the angle is phi or theta? What does it matter? It's just a variable name right? I could call my coordinates pizza, dog, chocolate instead of x,y,z
A disagreement over something that trivial? I feel like theta should be the one on the xy plane but it doesn't really matter. Which side do you think Newton would've taken :P
It's annoying. You really can just switch theta and phi, but it just gets confusing when reading a calc book, and then doing something like E&M where it's switched. Newton totally would have called one theta_1 and the other theta_2 lol
You should do a video on the 10 types of physics professors (or whatever number you think is necessary) to complement your 10 types of physics majors video. With the audience you seem to be targeting this type of instructional video seems out of place (meaning too simple since most of your jokes center around classes that require a working knowledge of this material), and not to mention there are so many other videos that teach the same thing. Also your funny stuff is better, in my humble opinion.
Evan Camp It’s more so that I enjoy making educational videos in parallel with the others. I made this one because I’ve gotten several comments asking to delve into laplaces equation in electrostatics. Before I derive that, I want to establish all of the other pieces. I thought this video was needed because though there are a lot of videos on spherical coordinates, most (if not all) switch the definitions of theta and phi, making it somewhat confusing when reading it in calculus book and then trying to apply it to physics. The other motive is that I’m trying to upload more frequently, and I’d rather have something being put out in the meantime while I’m recording and editing the bigger ( and usually funnier) videos.
Unbelievable, your video is so much easy to understand, where I thought the 3d animated viedos would help me understand better. Needless to say, those didn't help. Keep it up.
This video explains the spherical coordinates in the most concise yet crystal clear manner. Kudos! Your channel just gained a new subscriber.
bork
Feels so weird to see a proper video after all the meme vids with Papa Flammy. Keep it up, Andrew!
Why the hell physicists have to disagree with mathematicians? 😆
I'm a physics student and I agree with the mathematician's version cause that's what we learn in polar coordinate before getting into spherical version.
totally agree haha
i have no clue what’s happening in this video but his handwriting is unbelievably beautiful
Don't drink and derive
Good one
When u drink u go to do..... But when Andrew drinks he study and do wonderful things so shut up
I like theta much more for the angle between the projection of the vector onto x,y plane and the positive x axis because it is what we are used to for all of the math before Calculus III before introducing the z axis (when dealing with the (x,y) plane). It is easier to remember for me, but that's mostly a matter of personal preference.
This is the best explanation of spherical coordinates I have ever seen!! I am a Physics student and this was very helpful, thank you very much !!
honestly, you're an amazing teacher andrew! will be doing my undergrad y1 for physics this coming month, excited to dive deep into the world of physics
How is it going?
wow after all these years i finally understand!
I was reading through the second edition of "Introduction to Electrodynamics" by Griffiths, and found the conversions (p. 45), but couldn't really understand them, as no derivation was shown; however now that i watched your video its crystal clear. Thanks!
Sometimes when you don't understand something (e.g. a derivation, or a result) the best thing to do, is try it out yourself.. (but couldn't since i was travelling in a bus)..
Danke!
agreed
Wow sir... This was the only perfect video available on CZcams.
Sir my deep request to u, please upload these types of calculus videos on derivations.
Thank you sir 😍
Concise and helpful! (from a physics major) Thanks! It's so easy to derive, I don't know why I was never shown this in school!
Amazing explanation! The best I have come across yet : )
Tnx Andrew to probably explain this fact.....you are a good teacher......
took my uni teacher 2 hours ... you just explained it in 5 minutes and way more better
Clear, consize, nice voice. Great video
you are an amazing teacher! helped me a bunch to visualize it better, thanks so much
DUDE, I'm new the channel so just saying hi! but seriously, I'm currently taking E&M and my grade on the first exam was a 72 and I scared shitless.. ill be watching out for your videos to help me out!
Stick with it! there's great resources online for E&M, especially griffiths worked solutions.
Ill definitely look into to it thank you! Ive come to the conclusion that its a rinse and repeat process. I just have to come to terms with the fact that I'm going to fail miserably a million times and one before I finally crack the code to success in my journey through physics. I look forward to it.
P.S. keep up the great work!
Something I had a realllly hard time with in E&Mwas reminding myself that this is all trying to describe something that's real. I had to work towards not just looking at it as one math problem after another, and start asking myself what I would expect the solutions to look like and if they made sense physically. Asymptotic behavior goes a long way!
Andrew Dotson exactly what my
Professor informed me. He said stop looking at these problems algebraically but more from a geometric perspective. That it’s important to justify the answer.
_"I'm currently taking E&M and my grade on the first exam was a 72 ..."_
In my E&M course, I don't think anyone got better than 40 on the first test.
Great video! I"d do one thing differently: I'd describe this as conversion of spherical to cartesian coordinates, not the reverse as you twice did.
That was awesome, bro!!❤️
The notation used in this video is the dominant one (not just in physics but also in engineering) while the notation used in most North American calculus texts is almost never used beyond Calc III. That means anyone planning to take advanced math courses should be following this video, regardless of field of specialization.
You're putting out a lot of content; hope you're enjoying it as much as the rest of us.Also, can we just make messy hair a staple characteristic of mathematicians? (I'm down.)
It feels good to do it! Glad you like it!
Thanks for the explanation.I understood the thing that my professor was trying to explain for a week now.
its really good and easy to understand, thanks mate :) and yeah dont drink and drive lol
Damn that‘s trivial but how do you write that pretty?
Thanks. Very helpful. Until now, I’ve always thought of x=r sin theta times cos theta as meaning ...r sin theta tell you the degree to which cos theta is maximized. As if r sin theta is like a potentiometer working on cos theta. If r sin theta is zero then cos theta is minimized. If r sin theta is 1 then cos theta is a full sin theta.
It isn’t r*sintheta*costheta, it is r*sintheta*cosphi
you saved my butt! i have a classical mechanics exam coming up but i'm weak at math so this is so helpful!!!
I love how passive aggressive he is when talking about whether to use the convention of mathematicians or physicists but proceeds to use the physics convention lmao
best video I have ever seeeeeeeen. thank you so much !!!!!!
Really nice exposition other than the equation for r right at the beginning.
شكرا لك من اعماق قلبي
فلسطينية تدرس الرياضيات ارجو من الله ان يوفقك 💞💞
Thank you so much!!!! I’ve never understood this 😭😭
2:38 Orthogonal vectors or orthonormal vectors?
Orthogonal is generalization of orthonormal.
Don't be oversmart...
Well I love watching your videos and I love that I can actually understand the math in this one with my measly calculus 1 background lol
thank you so much sir 🙏
i have been looking for this derivation all today
Thank you so so much your videos always explain so well and have helped me so much awh brilliant! :)
I think, r = sqrt(x^2 + y^2 + z^2), not just x squared and y squared.
1:02
Thankyou for such a better explanation
imo the inclination angle should start on the xy plane, and not the z axis. (pi/2 - theta for physicists and pi/2 - phi for mathematicians)
JazakAllah
Thanks 👍
Damn, that whiteboard has gone through quite some strugles😂
Thank you. The video solved my question.
I salute you 👍, I am Indian, you are an excellent teacher..🙏🙏🙏🙏
Thankyou so much for this video, Sir! It was reallyy very helpful!
Bro casually makes life better😅
Superb... Very well explained... Thnx bro
This is really dumb and unrelated, but I like how spiky your hair is 😂🙌🏽✨
That was pretty easy and cool, thanks buddy though, you nailed it
The theta swapping makes perfect sense once you realize physicists work sitting down and looking forward while mathematicians work standing up and looking down, you know, on the physicists. 😉
Really Helpful thankyou
finally one i can understand
Pretty cool, it's really helpful!
this is what ı want thank you so much for your explanations and proofs
Why is there disagreement between whether or not the angle is phi or theta? What does it matter? It's just a variable name right? I could call my coordinates pizza, dog, chocolate instead of x,y,z
You'd think after all the years mathmaticians and physicists would agree on something.
that's so magical !!
Thanks Andrew, Great Video!
Very helpful. Thankz
Best Explanation...
Thanks Andrew :)
Well done bro very clear explanatiom thanks a lot
can you also make a vid about the derivation of the acceleration formlas, including taking the derivatives of the unit vectors plz?
Thank u soo much it was very easy to understand nd u r cute😊
Great playlist! thank you :-)
Thank youuuuuuuuuuuuuu for this video.
papa flammy says what's up
The best ❤️🙏
Thank you sir!
Excellent
You saved my life
Excellent....
Thanks dude.
Does X'=y?
Also this is how we learn it in my maths degree haha
Thanks. This was helpful
Great job
Brooo thank you so muchh 😭😭😭
Reminds me a little bit of calculus 3... which reminds me of headaches and tears LOL
Nice video!
Wow we are juggling the same stuff in our physics classe
Lol am I drunk? Isn't this from spherical to Cartesian as opposed to the opposite?
A disagreement over something that trivial? I feel like theta should be the one on the xy plane but it doesn't really matter. Which side do you think Newton would've taken :P
It's annoying. You really can just switch theta and phi, but it just gets confusing when reading a calc book, and then doing something like E&M where it's switched. Newton totally would have called one theta_1 and the other theta_2 lol
you did great
Very nice
this was great!!
Thank you bso much
Helpful... thank you..
r is not equal to √x^2+y^2+z^2 if i am not wrong
arigatou gosaimasu 🙏
awesome
Wow I understand it now coooooolll haha
please make a video about tensor.
excellent
Plz make the vedio on Maxwell's equations in tensor form.
I'll add that to the list
You could also make a video about the 4-vector notation before getting into that!
Omg this makes sense now
I still regularly write letters backward too,
You should do a video on the 10 types of physics professors (or whatever number you think is necessary) to complement your 10 types of physics majors video. With the audience you seem to be targeting this type of instructional video seems out of place (meaning too simple since most of your jokes center around classes that require a working knowledge of this material), and not to mention there are so many other videos that teach the same thing. Also your funny stuff is better, in my humble opinion.
Evan Camp It’s more so that I enjoy making educational videos in parallel with the others. I made this one because I’ve gotten several comments asking to delve into laplaces equation in electrostatics. Before I derive that, I want to establish all of the other pieces. I thought this video was needed because though there are a lot of videos on spherical coordinates, most (if not all) switch the definitions of theta and phi, making it somewhat confusing when reading it in calculus book and then trying to apply it to physics. The other motive is that I’m trying to upload more frequently, and I’d rather have something being put out in the meantime while I’m recording and editing the bigger ( and usually funnier) videos.
Sounds good to me. Keep doing what you're doing!
Nice !!
very good
Unbelievable, your video is so much easy to understand, where I thought the 3d animated viedos would help me understand better. Needless to say, those didn't help.
Keep it up.
Thanks!