Many schools have announced that they will go online in the coming up semester. Hope everyone the best and stay safe from the coronavirus. Let me know how the situation in your city. Best wish to everyone.
I've been watching your videos for learning, really learnt a lot from you. I really appreciate what you did for us and your efforts. You earned my respect.
I am and will always be. It was just nice for me to take a break from uploading on my main channel. In fact, I uploaded this because it was a problem that I had been trying solve for a long time since I started teaching calc 2.
Sir plz tell me which video playlist of yours should I follow to learn calculus from the beginning to advanced level. I need your help,sir! Thank you sir.
I feel like BlackPenRedPen started posting again mainly because it's Spring Break and he's not currently teaching. I don't know if this is true, but if it is, that's quite hilarious: he just HAS TO let his passion-for-sharing-math out in some way! Also, LOL at 2:15 -- it's not that the example wouldn't work; it's just that it's not that fun! 😆 Good to see you again, BlackPenRedPen!!
alkankondo89 thank you!! I was actually doing videos for my students but they were just cut and dry homework solutions so I didn’t post them on my main channel. But yea, I finally had something that I think it would be interesting enough for this channel so here I am!
The boss can handle the pi-th derivative of x. The boss can handle the 1/2th integral of x. But can he handle... the xth derivative of x? Edit: I meant to say f(x) at the end, not x.
Technically for the trapezoidal rule to beat the mid point rule, you should show that this is the case for all partitions, or atleast subpartitions of your original partition. It could be that T3 is a better approximation than M3 but T100 onwards is worse than M100. Infact since your curve is non differentiable at one point only, i suspect this will be the case.
Yea. I agree. The main point that I wanted to show is “midpoint rule” is NOT always better. My thought is to find an integral and a n so that Tn is better than Mn. In this case m, T3 is better than M3 and that satisfies my condition. I should add in the title that (at least for this time) or something like that.
@@blackpenredpen yeah but unless its true for all 'n', saying trapezoid is better than midpoint is not really a valid statement. Anyway, welcome back. Its been a long wait.
Shoham Sen It does not hold that for all n, the midpoint rule is better than the trapezoid rule either, though. This is exactly the claim that BPRP proved. He was never required to prove anything different because he never claimed anything different.
It seems people are stuck thinking of Integrals dx, and dy is just as good or better. So the Most accurate Definite Integral is when average DI-dy Lebesgue integration (red) with DI-dx Riemann integration Riemann (blue) here >> en.wikipedia.org/wiki/File:RandLintegrals.png To develop this intuition see "Intuitive interpretation" section here >> en.wikipedia.org/wiki/Lebesgue_integration .. NOW what if I told you ? ... while this is the most accurate method , it is INtractable / does NOT scale well (yet?) for multivariate Calculus of N-dimensions? In fact it scales horribly on the order of BIG-O(N^N) - maybe walk down the hall and ask your local friendly CS guys for another take ; ALSO I know the software to make this tractable for N-dimensions of large N .. just ask me :-)
Yay finally back man and congrat your great result in marathon! For those who know chinese, bprp also uploaded some videos during his break. Go subscribe at the link: th-cam.com/channels/rONDbyO94HIrJyfhS6qfjA.htmlvideos
bprp fans: where is blackpenredpen?
bprp: i'm back yooo
Many schools have announced that they will go online in the coming up semester. Hope everyone the best and stay safe from the coronavirus.
Let me know how the situation in your city.
Best wish to everyone.
I always knew going online would be useful.
Hey man thanks to God you are back!!! I thought corona virus got you !
less than 1% of our state has been infected.though we hang near china😂
Thank you, Steve!
Heyy you are back again man, here in brazil there are some infected people but it is all under control. I wish you stay safe from the corona virus
After a long time
Finally
He is back
Akshat Ahuja
I never left! : )
I couldn't follow you on instagram bc it was private:(, but you don't know how happy i am now that you're back!
Aww thank you!!! My “wear_math” account is public and I will post more there too.
I've been watching your videos for learning, really learnt a lot from you. I really appreciate what you did for us and your efforts. You earned my respect.
YOU’RE BACK!!!!!! 😍😍😍😍😍😍😍😍😍😍😍😍😍😍
Dr Peyam
I NEVER LEFT!!!!!!!!!
WHY ARE WE ALL USING CAPS LOCK!!!!!
AND USING !!!!!!!!!!!! TOO
Glad to see you're back
You're back!!!!!!!
YOURE BACK!!!!!
I never left!! : )
I did my marathon this past Sunday so yea!
blackpenredpen Phew!!
Oon Han yea. I actually have been doing videos all these time too but just not for the main channel. This video was recorded a few days ago too.
blackpenredpen that’s reassuring that you are still passionate for Maths!
I am and will always be.
It was just nice for me to take a break from uploading on my main channel. In fact, I uploaded this because it was a problem that I had been trying solve for a long time since I started teaching calc 2.
You're back, yay!
Yea!!!
I’m so glad you’re “back,” I missed your videos! Made me think in a different way.
Thanks!
so good to see maths in my subscription feed once again! im so glad you're back
Welcome Back 🔥🔥💖
I'm glad you're back
As I mentioned earlier functions close to sinusoidal ones T is preferred to M.
Been awaiting the great return!
Please, don't ever break again. We miss you
Hiiii
The king is back
Good to see you back after a long time ♥️♥️♥️
Happy to see you again !
The king is back!!! Woooh!
Glad you're back Steve!
The legend is back!!!
Nice intuitive build up of the construction.
Thank you!!
You're the best at what you do, we miss you
I'm glad you're back. :)
He's back!😲😲
Finally, BlackPenRedPen welcome back to make another video.. YAY #Hooray #YAY
HE’S BAAAACK!!!! :D :D
Krukow Studios I never left! : )
Oh hi 👋 we missed you
Johny English
Aww thank you!!
@@blackpenredpen Yeah we did. We annoyed Dr πm so much by asking where you were!
welcome back!
Minh Flip Bottle thanks!
HE’S BACK
Nice, youre back!
Bro can you please make video on use of calculus in daily life
welcome back, sir
HES BACK BOYSSSSSS!!!!!!
Hey, welcome back :D
I love you sir from India!!!
Finally he's back!!
Was literally just yesterday checking if you were still around lol
You're back
Prashant Kumar
I never left : )
Finally you are back sir🙂🙂😊
😉
Great to see a new video!!!!
You're back 😍
Sir, can you please make a marathon video on cal 3.
Mathematics NCERT question integration of e^2x
sinx
just wanted to say, i found your every video so useful( though i'm a high school student😂)
Where you been last 2 months?
Welcome back
Thanks.
Thanks for your video bprp
#Yay you uploaded. I was binge watching all your episodes.
congrats on your 4:20 marathon!
Hahahaha thank you!!!
You know, I like to do it in style : )
@@visweshn5320 just comment
Sir plz tell me which video playlist of yours should I follow to learn calculus from the beginning to advanced level.
I need your help,sir!
Thank you sir.
the best notification I received since your last video!
I feel like BlackPenRedPen started posting again mainly because it's Spring Break and he's not currently teaching. I don't know if this is true, but if it is, that's quite hilarious: he just HAS TO let his passion-for-sharing-math out in some way! Also, LOL at 2:15 -- it's not that the example wouldn't work; it's just that it's not that fun! 😆
Good to see you again, BlackPenRedPen!!
alkankondo89 thank you!! I was actually doing videos for my students but they were just cut and dry homework solutions so I didn’t post them on my main channel. But yea, I finally had something that I think it would be interesting enough for this channel so here I am!
how do you come up with those ideas?
You're aliiiiive! Yay :D
Sir plz please please make an video on integration of e^2x sinx
When life was starting be unbearable
He came back to save us
TY
My favourite channel.
What about the parabolic approximation
"Okay, as we all know.." I'm not sure, sir! :D
He's alive!
Finally a new video ☺
Where were youuuu???? Missed you sooooo much
finally! I missed my boi
Black pen Red pen Yay!
After a long long time the superhero is back.
could you confirm something I have sent you in twitter @blackpenredpen
The boss can handle the pi-th derivative of x.
The boss can handle the 1/2th integral of x.
But can he handle... the xth derivative of x?
Edit: I meant to say f(x) at the end, not x.
Calculus What does taking the xth derivative of f(x) even mean, though? This is totally not well-defined.
Super bro i am waiting for ur more video
I know the rule but didn't know they have such a beautiful name
Finally after a long gap .you are back ....
Technically for the trapezoidal rule to beat the mid point rule, you should show that this is the case for all partitions, or atleast subpartitions of your original partition. It could be that T3 is a better approximation than M3 but T100 onwards is worse than M100. Infact since your curve is non differentiable at one point only, i suspect this will be the case.
Yea. I agree. The main point that I wanted to show is “midpoint rule” is NOT always better. My thought is to find an integral and a n so that Tn is better than Mn. In this case m, T3 is better than M3 and that satisfies my condition. I should add in the title that (at least for this time) or something like that.
@@blackpenredpen yeah but unless its true for all 'n', saying trapezoid is better than midpoint is not really a valid statement. Anyway, welcome back. Its been a long wait.
Thanks!
Shoham Sen It does not hold that for all n, the midpoint rule is better than the trapezoid rule either, though. This is exactly the claim that BPRP proved. He was never required to prove anything different because he never claimed anything different.
Do a video on series involving binomial coefficients
I did the binomial series already. Is that what you are looking for?
@@blackpenredpen I mean questions like,.. Find the sum sigma r=0 to r=5 32C 6r
Hes back bois and girls
If we could collab every maths topics known then what topic would contribute maximum in study of maths ????
Long time no see!!!!!!!
Life is good again!
Why after a long time🤔🤔🤔🤔🤔
It seems people are stuck thinking of Integrals dx, and dy is just as good or better. So the Most accurate Definite Integral is when average DI-dy Lebesgue integration (red) with DI-dx Riemann integration Riemann (blue) here >>
en.wikipedia.org/wiki/File:RandLintegrals.png
To develop this intuition see "Intuitive interpretation" section here >> en.wikipedia.org/wiki/Lebesgue_integration
.. NOW what if I told you ? ... while this is the most accurate method , it is INtractable / does NOT scale well (yet?) for multivariate Calculus of N-dimensions? In fact it scales horribly on the order of BIG-O(N^N) - maybe walk down the hall and ask your local friendly CS guys for another take ; ALSO I know the software to make this tractable for N-dimensions of large N .. just ask me :-)
#TeamTrapezoid
Where were you?
Finally back
I waiting for your video
Here you are! :'D
Hi bprp i want to ask you my integrals problem so how should i ask you my integrals problem please reply 🙂🙂🙂🤘🤘🤘🤘🤘🙂🙂🙂🙂🤘🙂🙂🙂🙂🙂🤘
Are your family safe from coronavirus
I thought you have left this channel 😯😯😯😯😯😯😯😯🙂🙂🙂🙂🙂
nice that is reason i got it wrong
where where you all these days? hope no corona !
No, don’t worry.
@@blackpenredpen oh good to hear, now I can click on your video safely : )
Whose kobe??
A basketball legend who unfortunately left us in January.
Why aren't you famous yet?
That function doesn't represent that graph
Hmm I think it does. I just checked again
Yay finally back man and congrat your great result in marathon!
For those who know chinese, bprp also uploaded some videos during his break. Go subscribe at the link: th-cam.com/channels/rONDbyO94HIrJyfhS6qfjA.htmlvideos
Thanks!!!!!!
Twitter sneak peek!
i mean, obviously its better for straight lines but anyway
wow i am here
Math
Simpson's rule wins.
If I do something in both sides of a equation she won't change nothing, so I'll divide both sides by 0 and she will stay the same, Correct, isn't?
What shit were you doing all this time.....pls don't late this much period between two videos
ayyyyyy