Lecture 17 - Riemann integral

[@riteshtheunknown]

I wish these lectures were in HD quality

[@vibodhj349]

Yes, but have to make do with what they have provided. ( the woes of college students)

[@rvkodali110]

Mr.Ray told exact meaning of Riemann differentiation. What a superb lecture

[@mrmaaza123]

Absolutely loved your lecture. You are amazing !

[@arjunbanik8606]

clearly, understandable and great lecture.. highly recommended

[@myhobbies1288]

Excellent explanation 👌👌👌 Thanks for educating the world 🙏 From your lecture one can understand intuitively the meaning of Riemann Integral

[@kobebryant8902]

This is very helpful, keep up the great videos!

[@coderavec2mdschool2024]

that's awesome the lecture is so understandable great job

[@aparajitopaul1134]

when proving that u(p1,f)>=u(p2,f) he wrote v1=sup{f(x)/xbelongs to [x*,xi-1]} but i think it should be v1=sup{f(x)/xbelongs to[xi-1,x*]} because we are considering a point x* between xi-1 and x i......similarly v2=sup{f(x)/xbelongs to [x*,xi]}......see 35:56 and pls tell me if i'm wrong

[@vibodhj349]

See, we calculate the U(p,f) by taking the supremum of the ith interval ( xi-1,xi). The fact is that we start calculating the U(p,f) from the top to the bottom of the interval while in the L(p,f) it is from bottom to top conventionally. Because we take the supremum we have to start calculating from the top. I hope you got the answer to your queston. If you still have any doubt, contact me on [e-mail].

[@andrejilievski7231]

Quality of video has to be improved,when you will do it, you will become top 5 math/science channels on youtube

[@tusharhalder64]

Onek help hoyeche sir for my msc course ! Thanks sir

[@zahari20]

When Dieudonné was the scribe of Bourbaki, for many many years, every printed word came from his pen. Of course there had been many drafts and preliminary versions, but the printed version was always from the pen of Dieudonné. And with his fantastic memory, he knew every single word. I remember, it was a joke, you could say, "Dieudonné, what is this result about so and so?" and he would go to the shelf and take down the book and open it to the right page.

[@prachiargulewar2409]

Superb

[@bathama.k.7759]

very help full.....

[@sujanmuhuri2471]

Sir plz make a video for darboux theorem and infinite no of set of riemann integration

[@ritobansen3553]

could anyone please tell me What is U (p,f) as in the U?

[@amanmiglani6043]

sum of of all the rectangle aboive the region is upf

[@samayaparibartan883]

Upper Sums of function f, which will be equal to sum of area of all the superscribed rectangles formed by the supremum(Mi) and the sub-intervals. I know you must have found the answer already.. but i am writing this just for revision of my understanding 😅

[@gatehamper]

amazing......

[@denismatt]

why the height of the smaller triangle is r (this is also r) ? Isnt is slightly bigger than r? (4:21) I mean it probably tends to r is n tends to infinite.

[@vibodhj349]

No, the height of the smaller triangle is rcos(2pi/n) by simple trigonometry. The height of the bigger triangle is r.

[@ghodium]

i love this india accent, whether the india person is prescribing antibiotics or a mathematical proof

[@asitojh2436]

Thank you sir

[@trucommander]

YOU ARE THE BEST!!! Your lecture is very clear and easy to comprehend. Thank you sir.

[@medha7236]

After 36 min I suppose the interval taken for supremum of f (x) is wrong.

[@abhimuscat]

never underestimate the indian accent, though it may seem funny to you, the indians are some of the most brilliant minds in the planet, the average indian 12th grader can integrate twice as fast as an MIT graduate (doesnt necessarily mean that the indian guy is more brilliant or anything), just saying.....

[@ashikbiswas6283]

Riemann integral all math dan

[@pran1zzle]

THE TOTAL AREA

[@ritusheokand4047]

nice

[@jyotirmaydas250]

Sir this lecture is really great

[@commentOshimasu]

@commentOshimasu good video, though

[@mikialemikiale415]

Unbelievable i found my self

[@zahari20]

A number of academic mathematicians feel that the Riemann integral no longer belongs in an undergraduate course of instruction. Here is a brief HISTORY of the project. If you think that your students (and you) have not been confused by the standard undergraduate and graduate education in integration theory please take this QUIZ. We provide this information here to keep the real analysis community up-to-date on the project. Our two texts REAL ANALYSIS

[@lyaha8]

reminds me of apoo...

[@sayantandas8739]

...

[@certainstrength]

LOL

[@raunaksengupta5289]

riemann integral ka balatkar ho gaya.....

[@saikatpk28]

What superb language of a educated student ...... Hats off to you.....

[@vibodhj349]

Kyu bhaisaheb, accha nahi laga video?

[@cfunlearn]

You go to school and learn to speak first,

[@sujanmuhuri2471]

Sir plz make a video for darboux theorem and infinite no of set of riemann integration

[@sujanmuhuri2471]

Sir plz make a video for darboux theorem and infinite no of set of riemann integration