So, before i saw this videos, i barely did manage to solve integrals in R3, but sir, you are actually incredible, you just explained how to analize the graphics of each function of the figure and that with the compression in it, after doing the Z axis, it's a lot more easy to understand, kudos to you
searched for such a long time until i found someone like you who could explain it intuitively. also great visualisations and the keyword "collapse" helped a lot. thank you!!!
holy crap this explained things 10 times better than my professor. he's really a great professor but for some reason just couldn't explain this concept very well, thank you so much
0:04 "When a triple integral is applied to a function, it gives us a hypervolume." Amazing... 4D volume?! How can that be used to find the volume of polychorons?
That would depend on describing the boundary of the polychron as a function. For a lower dimension (2-D) you can see that this is pretty simple for a square. This would be a constant function with the bounds taking up the length of the other side. For an equilateral triangle, now we have to describe the area using two functions, one for the first side, and another for the second side. (You could save a bit of time using symmetry as well)
I agree! I picked this because the topic really needed some good visuals to understand, and I wanted to experiment with how to make them. I think this will be a great gateway for even more difficult topics. :^D
Hey, this is nice if you have a graph, but I'd like help finding these mathematically without being able to look and say "oh look, that's where we enter and exit"
this man saves my life without knowing it
Thanks! :^D
So, before i saw this videos, i barely did manage to solve integrals in R3, but sir, you are actually incredible, you just explained how to analize the graphics of each function of the figure and that with the compression in it, after doing the Z axis, it's a lot more easy to understand, kudos to you
Glad I could help! I wanted to do this video for a while, but had to search for the right program to really visualize it. :^D
Unbelievable. Really helped me visualize, thank you.
searched for such a long time until i found someone like you who could explain it intuitively. also great visualisations and the keyword "collapse" helped a lot. thank you!!!
Thank you so much for making this video! The visuals were awesome and made it really easy to understand.
Glad it was helpful! It was fun to make. :^D
no bs, straight to the point awesome explanation, super useful
love it!
have my final next week, YOU ARE A LIFE SAVER!! thank you so much :)
Perfect video! Everything wasn't diluted and straight to the point. Visuals helped greatly as well.
Intuitively brilliant, thanks without bounds, God bless you
Thank you very much for the video, it really helps me to identify the limits. Btw, do you also make a video for polar coordinate?
I haven't done a polar coordinates video for double integrals, or spherical for triple. These are both great ideas! I'll write them down. :^D
This was amazing. You should be payed a million dollars bro.
holy crap this explained things 10 times better than my professor. he's really a great professor but for some reason just couldn't explain this concept very well, thank you so much
Glad I could help!
First time i comment on UA-cam, this is the best explanation I have ever seen! Well done.
Glad it helped! :^D
holy crap thank u for this video, i was having such a hard time visualizing the bounds for these questions. you saved me for this next quiz
You're very welcome! :^D
This was so helpfull!
omg that looks so simple it made me almost cry
very helpful, well explained
perfect . thanks a lot
Thanks sir for this video ❤
very helpful
crazy shit thanks
0:04
"When a triple integral is applied to a function, it gives us a hypervolume."
Amazing... 4D volume?! How can that be used to find the volume of polychorons?
That would depend on describing the boundary of the polychron as a function.
For a lower dimension (2-D) you can see that this is pretty simple for a square. This would be a constant function with the bounds taking up the length of the other side.
For an equilateral triangle, now we have to describe the area using two functions, one for the first side, and another for the second side. (You could save a bit of time using symmetry as well)
the best lecture i've seen. this helped me tremendously
Keep up the good work! :^D
perfect . thanks a lot
lifesaver. You explained collapsing clearly and the visual was very helpful.
That's quite a jump in difficulty from the last video about means 😂
I agree! I picked this because the topic really needed some good visuals to understand, and I wanted to experiment with how to make them. I think this will be a great gateway for even more difficult topics. :^D
Hey, this is nice if you have a graph, but I'd like help finding these mathematically without being able to look and say "oh look, that's where we enter and exit"
My secret math tutor more like my secret math teacher
Awwww Thanks! :^D
this video literally opened my eyes , that were closed by my teachers illogical equations
Glad I could help out! :^D
What does the 'R' stands for at 0:14?
z=y+1
z=x^2+1
y=1
you have literally stopped me from crying over not understanding this. thank you.
That's great! (not the crying part) Hope it is starting to make more sense. :^D
You've explained this so much better than anyone else ive seen. thank you so much i have an exam in a few days!!!
I hope it went well! :^D
this video goes crazy not going to lie
Thanks! Its was a fun video to make.
Thanks this is great for my calc 3 final monday
Hi sir please do new videos
thank you so much
You're welcome!