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 RU-vid. 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.
