@@grzechu9751 Reasons are that far more people watch the morning video (still EST timezone) compared to the evening video and that Michael doesn’t upload an evening video every day.
At 12:20 Michael constructs a sequence of partitions P_n such that U(f, P_n) - L(f, P_n) -> 0 as n -> infinity. I'm not sure it follows from this that U(f, P_n) is convergent on its own, and likewise for L(f, P_n). To fix this, let Q_n = P_1 u ... u P_n. Then U(f, Q_{n+1})
Thank you very much for your all videos. They help teachers and students a lot. That is an elegant proof of FTC based on MVT. I enjoy your videos, mainly those about calculus. Thanks again.
Professor, I really enjoy your videos. Could you please do one on some identities involving the trilogarithm, for instance about the value it takes at 1/2 or at 1/goldenratio^2?
Hi, For fun: 1 "all the way up to", 4 "great", 1 "ok, great", 1 "next what we want to do is", 3 "so let's go ahead and", 1 "now let's go ahead and", 3 "so let's may be go ahead and".
22:53 When you are earlier than the Guy named, *Good Place to Stop* ! Hey, Michael Sir! Did you screw up again on scheduling stuff?? Or, this was planned so that *Good Place to Stop* comments after me.
22:53
Michael: *uploads a video outside of regular schedule*
Me: _I’ve been tricked, I’ve been backstabbed and I’ve been quite possibly, bamboozled_
no homework today?
@@grzechu9751 Homework is for the 8AM EST video. You can find the today’s homework on the previous video.
@@grzechu9751 Reasons are that far more people watch the morning video (still EST timezone) compared to the evening video and that Michael doesn’t upload an evening video every day.
oh i didn't saw that he already add a video today, thanksfor telling, have a nice day
I feel very happy that UA-cam recommended your video. Thank you for the best content
I’ve been wanting to see the proof for the generalization of this (Stokes theorem) using differential forms... I know it’s not really real analysis
At 12:20 Michael constructs a sequence of partitions P_n such that U(f, P_n) - L(f, P_n) -> 0 as n -> infinity.
I'm not sure it follows from this that U(f, P_n) is convergent on its own, and likewise for L(f, P_n).
To fix this, let Q_n = P_1 u ... u P_n. Then U(f, Q_{n+1})
I really love this course. We should learn this before Calculus, or at least combine this, Precalculus, and Calculus, into one subject.
Awesome video! You are a great teacher!
Thank you very much for your all videos. They help teachers and students a lot. That is an elegant proof of FTC based on MVT. I enjoy your videos, mainly those about calculus. Thanks again.
Great content, best channel to learn about analysis
Professor, I really enjoy your videos. Could you please do one on some identities involving the trilogarithm, for instance about the value it takes at 1/2 or at 1/goldenratio^2?
Thank you sir... ♥️
I appreciate these videos. Do you plan on continuing through to Stone-Weierstrass and other topics?
Hi,
For fun:
1 "all the way up to",
4 "great",
1 "ok, great",
1 "next what we want to do is",
3 "so let's go ahead and",
1 "now let's go ahead and",
3 "so let's may be go ahead and".
Good teacher
Capstone video. We have arrived at the Promised Land! 😇
I think part 1 of FTC is supposed to be part 2 of FTC and vice versa. At least that's how it's shown on other sites
thanks!!!!
Yeah, the timing of this video is almost spooky. I was reviewing this earlier today 😆... What are the odds???? .... hmm 🤔
Hii, If you want more harder questions then I will highly recommend you this channel's latest videos #mathsandphysicsfun
22:53
When you are earlier than the Guy named, *Good Place to Stop* !
Hey, Michael Sir! Did you screw up again on scheduling stuff?? Or, this was planned so that *Good Place to Stop* comments after me.
Is this meant to be visable? (11/19/2020)
NOBODY on UA-cam proves the fundamental theorem sequentially. They all prove it backwards, meaning, they use the result to prove the hypothesis.
Watching from pakistan
What the hell is lipschitz
like