Real Analysis Introduction: Sets and Set Operations

Keepin' it real with my introduction to REAL Analysis! I talk about sets, set notation, and set operations. The next video will introduce functions, one of the fundamental concepts in Analysis.

Questions/requests? Let me know in the comments!

Pre-reqs: Knowledge of Calculus I and II is helpful (especially for later videos) but not necessary for this one. I feel like even an 8th grader could understand this lesson, so there are hardly any major pre-requisites.

Special thanks to my Patrons for supporting me at the $5 level or higher:
- Jose Lockhart
- James Mark Wilson
- Marcin Maciejewski
- Sabre
- Jacob Soares
- Yenyo Pal
- Lisa Bouchard
- Bernardo Marques
- Connor Mooneyhan
- Richard McNair

EDIT: At 6:50, I mention that the empty set is denoted by phi: the symbol for the empty set is actually based on a Norwegian letter, not 'phi'.

[lakerstv]

Please continue this series! One of the clearest explanations I've ever seen

[aizaimran]

Please continue the series. You're an amazing teacher.

[eamonnsiocain]

This will be fun. I studied Real Analysis about 40 years ago.

[goetz]

I'm taking a real analysis course this fall, excellent.

[RAyLV]

this was such a great introduction, sadly there aren't any more videos.

[GC-Haendlach]

This might sound on the surface a bit crazy, but I mean it sincerely at face value. My background is about 24 yrs of teaching at the community college level. You do speak very clearly and not too fast, as you do a good job at maintaining this consistently as the material progresses. But I always though it really cool when the professor was able to throw in minor joke....or in the words of famed number theorist Paul Erdos.., half a joke....not told in any style, Utah done in whichever way comes naturally to a given instructor...can’t hurt to try things and incorporate whatever works.

[keerthanasubhasri.k]

Your video was very clear and everyone can easily able to understand

[jameswilson]

Cool, you're back. I was wondering when you were going to post another excellent video.

[usingh]

This series needs to be continued. Please Faculty of Khan.

[taylogs]

PLEASE continue the Real Analysis series！ T.T

[OmnipotentEntity]

Minor correction "The empty set is denoted by the greek letter phi" It's not. It's a zero with a diagonal strikethrough or an O with a diagonal strikethrough. It's inspired by the Norwegian letter Ø, rather than phi.

[pushpendraverma]

sir, you are really awesome.... plzz make more videos, now suddenly i think maths is my favourite subject, you have shown me the beauty of mathematics..Thankyou!

[williammendez]

Hey and thank you for the great content that you have been providing. In the future, can you make videos on
- Fourier Transforms and other not-well known integral transforms. (I only know Laplace and Mellin transforms). Maybe when you get to circuits/waves/signals of your Physics series, you can implement them.

Please continue your Real Analysis series, and once again, thank you!

[ChiragJalan]

sir please release the next videos in this series.really looking forward to it

[yudhisthir]

Hello sir, can you please continue this series.For real analysis, there is no lecture present in youtube. If you continue and complete this series, would be a great help.Thankyou

[ngocha]

Great video! Are you releasing more contents on Real Analysis soon?

[shubhammygt]

Sir, please complete Real Analysis all lectures And Topics.

[addy]

Plz plz make more videos about real analysis

[Gaurav-umoh]

I really liked your handwriting .
Content is awesome, always!<3

[michaelalexeev]

Thanks for the great content. Any chance we get more videos on real analysis?