Maximum and Minimum

[@nicoled1089]

I absolutely love how this guy teaches. His voice is so calming and he makes hard concepts easy to understand.

[@slimanemesbah8500]

best teacher ever, you are saving my calculus classes, thanks a lot, please keep making more videos for college students for master degree

[@---nw8qu]

sup says "he who is least amoung all of you, he is the greatest"

[@raminrasouli191]

This may sound trivial, but I would really like to see the proof of: Absolute value of x

[@akashpremrajan9285]

He proves that near the end of this video kzbin.info/www/bejne/hZDHpISHnMejrLs

[@eternalephemera]

Very ASMR. Glorious.

[@dgrandlapinblanc]

Ok. Thank you very much.

[@CliffStamp]

This may sound odd, but how to you prove a way of proving? How do we know for example that there are no true statements that derive contradictions?

[@bahadirtuncay192]

If S has for some reason only one element, can that element be the maximum and the minimum of the set ? Or the maximum and the minimum have to be different elements ?

[@drpeyam]

Both the max and min

[@bahadirtuncay192]

Thank you for your answer

[@池晋方]

Hi, Dr Peyam, I have a question. In example 4, how can you show that you can actually pick an N that is greater than Snot. If you can pick such an N, does not this means Snot is not a maximum. In general, how you show N exists for all Snot？You seem to pick something that contradict to your assumption.

[@adamreddy9192]

I like the videos in this series so far. Can I ask what course they are corresponding to? And perhaps could you tell me what the future entails for this series?

[@drpeyam]

Thank you! They correspond to an intro to real analysis that I’m teaching now at UCI. I will cover everything up to Chapter 3 of Ross’ Real Analysis book

[@drpeyam]

Here’s my website with notes: sites.uci.edu/ptabrizi/math140asp20/

[@hyperboloidofonesheet1036]

Suppose I have a set A that is a subset of the rationals on the interval (0,1). Suppose further I have a set B that is a subset of the real numbers on the interval (0,1). I know you can say the cardinality of B is greater than A, but is it possible to say B has numbers that are larger (or smaller) than any number in A?

[@drpeyam]

Sadly not; given any rational number there is a real number bigger than it, and given any real number there is a rational number bigger than it

[@Nikhil_Kumar_Math]

6:16😄

[@mahdihasan6816]

Boss I Have a Problem. Please See.. that If M,N two Positive integar.Their LCD is M^2-N^2+MN. Then show that their product (MN) is Cube Number.

[@happymanhappy1002]

Hi Doctor I need solutions this question. Show by expansion of the surface integral that lim dτ→0 s dσ × V dτ = ∇ × V. Hint. Choose the volume to be a differential volume, dxdydz. Please

[@alvinlepik5265]

Dear viewers. Please stop posting your homework problems here.

[@drpeyam]

?

[@alvinlepik5265]

@@drpeyam Not directed at you. Sorry for the ambiguity. Some of the viewers are posting their homework here.

[@drpeyam]

Ah, thank you! I got worried for a bit :) And I agree

[@happymanhappy1002]

If you help me in solving some issues, I will work on spreading your channel in the Arab world, thank you