Real Analysis | Partitions and upper/lower sums.

We begin our exploration of integration and integrability by looking at the notion of a partition of an interval and the corresponding upper and lower sum of a function with respect to this partition.
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[@punditgi]

I hope the Darboux integrsl shows up somewhere along the line in these videos since it fits in perfectly with upper and lower sums. But then we we will need a proof of the Extreme Value Theorem. Can't wait for that one!

[@aryanraina3631]

Proud be one of the 100k subscribers. Awesome video btw.

[@TheMauror22]

I love this series.

[@sciencedreamz9405]

Explanation with example is always pretty

[@user-me7mo1iw2x]

Great video. Thank you

[@nisrinsoso]

wonderful explanation❤

[@chriscontreraz2482]

Bro, I literally stumbled upon your channel on the last week of my Real Analysis course. I wish I found you at the beginning instead. Good video!

[@tanvisavarkar4602]

Currently in the last week of real analysis and JUST found his channel ahhhhh

[@veronicatisa]

so helpful!! thank you!

[@Bedoroski]

What a clear explanation.

[@SouthSudanCultureToYou-ix5su]

I subscribed already, your explanation is real, sir,!

[@olivier306]

What a legendary dude

[@hybmnzz2658]

Can't wait for proving various things about integration :D

[@tomatrix7525]

Lovely peesentation. Very nice

[@Ruby-eq1qg]

I feel silly for not getting this before, it's so simple haha Awesome video mate thanks a ton

[@LightPhoenix7000]

The upper sum should be 59/4, right? 1+8+5+3/4?

[@JMTchongMbami]

8:30 1/2x2+2x4+5x1 = 14 not 13 so yes?

[@yoav613]

well he said that it is pretty difficult calculation...

[@u.bandara6453]

How can we define the Riemann sum for a negative function?

[@personxy7443]

is U(f,P) monotone when max{deltax_{i}} tends to zero?

[@goodplacetostop2973]

8:56 I guess?

[@fellipeparreiras4435]

Maybe in the next video..?

[@djvalentedochp]

nice

[@mathsamtube2741]

Cool

[@qobilruzmatov48]

Nice good

[@ssengageisop3952]

Noiice

[@quantabot1165]

First view, First comment. 91 K coming up

[@CM63_France]

Hi, For fun: 1:10 : wouhah! Wouhah! 4 "let's may be go ahead and", 1 "great", 1 "ok, great", and no good place to stop.

[@vineetajain9604]

Hello I am from india🇮🇳