Set-Roster vs Set-Builder notation

[@joneswafula]

I finished my Descrete Math, mostly taught by this guy, and got an A. I am very thankful! Came back to marvel at how he produces his videos, as I am still cracking my head at whatever wizardry that makes his videos appear like they are.

[@DrTrefor]

Good job, that's awesome!

[@sahilndwr]

seriously man, its like the video was normally recorded without mirroring, but to think of it, its like he's standing behind the glass board but then it means he's writing in reverse....or the video is mirrored....man i can not explain it💀

[@bmcclark1999]

Do you remember what book he used?

[@Laminar-Flow]

@@sahilndwr It’s a system invented by physics professor Matt Anderson- Its just software that reverses the video output (from right to left etc).

[@duckyoutube6318]

Mirror. Green screen.

[@arcsine]

This is super useful. i'm watching these along with taking discrete math in university and its helping a lot (often your explanations are better than my profs) Thanks

[@asacoco1412]

Thank you very much for these videos. After 2 years of no classes I've been trying to learn stuff once again in preparation for college, these videos are really helpful.

[@9cowbell9]

How does it feel to be a genius Dr Trefor? If I pass my module in math for CS it is all thanks to you! Fingers crossed!

[@LastTrueGamer]

1000% better than my current college professor, thanks!!

[@kbrode01]

Thank you so much for this Dr. Bazett! For the life of me, I can't understand why covering the symbols in depth you're going to use in a semester isn't a starting point for any course in discrete maths, but here I am!

[@DrTrefor]

Glad it was helpful!

[@benderbendingrofriguez3300]

you are one of the best teacher i have seen and I am not even tasking discrete math. If you ever need help, just let me know I give good hand job.

[@BasedMan14]

1:13 Discord notification? lol

[@harryplum1699]

omg i noticed it to!

[@solomonmathews8874]

XD i was wondering what i heard

[@pabloclone]

Yo I thought I was my laptop until I read ur comment

[@asdf256]

This is great last-minute final review. Thanks!

[@simonndou7625]

I am currently studying computer science and have been facing difficulties with discrete mathematics. However, as I prepare for an exam, I have found your videos to be very helpful

[@alexandrebiman5505]

Thank you for the clear explanation

[@missamal4553]

i understand from u more than my professor....thx

[@leedudek9672]

Thank you! These are incredibly useful. And, entertainingly, you are the doppleganger of Jack Whitehall.

[@williamcrowley5506]

Just found your vids, great content. I am going to attempt learning this in my free time, so glad to have found you. One request, and you many have already fixed this or heard it, but a better mic would be great. Thanks again.

[@richardbechtel8317]

3:12 My Brain: if(x % 2 == 0) { bool isInSet = true; } So Discrete math is just programing logic? Good to know. I wish you had said that in the introduction video. I've never learned anything about discrete math until now. Wish I had before learning to code.

[@atmac4744]

bro just stumbled across your comment and you've opened my mind toward discrete math! Mind blown!🤯

[@richardbechtel8317]

​@atmac4744 Really? I mean watching this the entire time all I could this of "this is clearly just an array of numbers. Are we about to learn math functions that amount to array manipulations?" And the answer turned out to be yes. I'm still not a great programmer but deciding to pickup Mathematics has helped. I discovered my high school didn't even teach me Algebra 2, so I taught myself that after an Algebra 1 refresher for the last year and now I'm on trigonometry. And now thanks to you I think I'll come back and finish this course as well. Edit: I originally watched the first few videos in this series because I just wanted to know what discrete math was. A ten second video saying "It's math for programming logic." would have sufficed. Now I actually want to learn it. I hope Algebra 2 is a sufficient level of math to understand all that comes later.

[@abhinavc1764]

Thanks it is help full iam from Kerala

[@toastom]

Unfortunately I've found this playlist too late, on the night before the final. Great videos, though. Helping me cram!

[@DrTrefor]

Good luck!

[@toastom]

@@DrTrefor Only through the power of God and your teaching skills have I managed to pull off an 85 on the final. Thank you so much! I will definitely be watching your videos for DiffEq next semester.

[@josephbradshaw4092]

Armchair mathematician here. Learning by watching your videos, you are very good at explaining terms which helps a bunch. Why use { x | P(x) } = { x | x = twice the integer? Isn't that like saying y = 2x for basic algebra? Any integer times 2 is an even number. Just trying to wrap my head around the concept of notations, because I keep getting lost working on functions.

[@josephbradshaw4092]

Okay, thank you for your response. I was thinking that is what is going on. I am watching your discrete mathematics video playlist. I am excited to learn more.

[@ritageraghty4404]

Same here. I am learning maths on my own and I find it a struggle to get informations on symbols and notations.

[@reihanboo]

yeah you can say that. y = 2x is just another way of saying "twice (*2) an integer(x) is an even integer"

[@curtpiazza1688]

Great! 😊

[@roshinemmanuel.sebastian3714]

Brother which discrete mathematics text book do you recommend for learning by mysel

[@boomer-24boom]

we also use colon(:) notation in builder form to represent "such that"

[@Chrisymcmb]

Awesome! Thanks!

[@jo19thirtyfour]

Just amazing.

[@cliffordwilliams9597]

@4:55 lol that e's only backwards to you homes

[@danzhangy2343]

Hi, thanks for the video, where can I find some practice problems?

[@shreyanigam6349]

vids are helping, thanks! btw how do you actually shoot the video? i mean, you write backwards in actual ??

[@shreyanigam6349]

@@DrTrefor ooo thats the trick! XD

[@solomonmathews8874]

Wait whats the trick im as lost as you once were

[@deadpl55]

Camera • | < (glass) guy They shoot it and then mirror that video using software so that whatever he writes we can see it normally

[@deadpl55]

@@solomonmathews8874 .

[@berksteraydo9517]

non-negative even integers

[@ritageraghty4404]

Thanks a million. Just subscribed.

[@OK-ri8eu]

That discord notification just scared me at around 1:12

[@willbutplural]

Important 2:48

[@Saad-Sadiq]

Discord notification on 1:13 fooled me.

[@amirmahallati3414]

Hello, I will be taking Applied Discrete Math next semester at my college, so I'm here to prepare for that course. However, I don't see in the video titles here, mathematical induction, Boolean algebras, predicate calc, trees, relations and lattice theory. Are these topics covered in your videos? Thanks you!

[@DrTrefor]

Lots of those for sure!

[@juronpilo6109]

at 5:05 you use the square root of x but technically it should be the discrete logarithm of x. Your probably going to later come to the conclusion that discrete math is itself wrong. Thing is there isn't much use for the square root function if you're ACTUALLY using discrete math. edit: although you might consider using the integer square root if you insist on using square roots

[@veronikapost5073]

Thank you for the great videos Professor. I have a question, while speaking about Set-Builder notation for all the even integers, you are saying "This is the set of the variables x such that the x is twice an integer". Which makes sense for all the even integers for me except for the zero that you have included in a set of all the positive even integers written in a Set-Roster notation earlier. Which integer should be multiplied by 2 to get zero? Is the answer zero itself? Is that a common convection in math to consider zero an even integer?

[@veronikapost5073]

@@DrTrefor , thank you! I'm excited to learn more from the later videos in the playlist!

[@nathanbickel4362]

0 is even :)

[@harshitrajput6865]

What is the domain of x?

[@jasmeetsinghmadan2609]

Where can I find your practice problems and momework that you discussed about in the first video?

[@jasmeetsinghmadan2609]

@@DrTrefor Thanks for the videos. It would be great if you suggest books to practice from😀

[@graywellstudioskeie9966]

I have a question, and to be fair I'm stupid so it might not make any sense but I was wondering if you could write the set of every even integer as twice an integer then how can you include 2 in that set because nothing times by 2 equals 2.

[@continnum_radhe-radhe]

🔥🔥🔥

[@backoffer3228]

So, for set of even numbers we can write this builder: {x | (x / 2) € Z}

[@kincadekeril1544]

{x | (x % 2 =0), x belonging to Z} is correct one. What you saying is set of all numbers divisible by 2.

[@cody4561]

@@kincadekeril1544 im not really getting it. if a number divided by 2 results in an integer, doesn’t that mean the original number had to be even?

[@kincadekeril1544]

@@cody4561 Would you consider negative numbers even?

[@cody4561]

@@kincadekeril1544 yea i thought all integers positive or negative could be even or odd

[@hzewo]

thank you very mach ))))))))))))))))))))

[@hanxu2143]

Just found this your playlist, and really loving your style of explanations. Quick question: why are we defining square root of X as an element of integers, and not set it equal to integers? Since the latter is our goal for the set.

[@hanxu2143]

Trefor Bazett got it thanks!

[@kevin_heslip]

Do you think he knows how to write backwards or do you think he just mirrors the shot when he's editing?

[@Ly-fj3dq]

where's the practice quiz? didn't find

[@ngocdangduc3772]

Correct me if i'm wrong, set-roster notation and set-builder notation are methods of representing a set.

[@brenn7754]

1:12 can't game, pwning sets

[@jessebowen5181]

Did anyone else realize he has to write backwards

[@JustAStudent20s]

why not say x is such that P(x) = 2x ?

[@suhailawm]

Tnx aLot Sr. 4m Sri Lanka

[@skallet]

My set for negative numbers are { x | x = x - (x.2) }

[@khaadmihraban9191]

❤❤❤❤❤❤❤

[@Error404ProductionsNotFound]

Am i the only one that heard the discord notification?

[@Free.starrs]

No 😂 1:13

[@kasiphia]

He should make a server, Michael Penn (another math youtuber) has one and its pretty good.

[@kingoffire9373]

Thought it was me and checked my discord

[@davethesid8960]

Wait, 0 is positive?

[@justynroberts3098]

If theres anyone who was really good at Discrete Math and wants to help a brother out let me know, could use some extra tutoring!

[@Inquire98]

Do you provide a set of notes 🙄

[@DrTrefor]

Nope. Or at least not yet. But google open discrete math by Levin it’s a decent free text

[@Inquire98]

@@DrTrefor 'Thank GOD'🙏🏾 and thank you very much for your support and time 😉

[@N_june_27]

you write backwards!?

[@johnmarcusengreso7829]

i thought my comp screen as dirty lol.

[@Jeff-nv8ou]

How can a professor be this handsome and sexy ?

[@FLYbladeSTUPIAK]

DADDY MATHS TEACHER

[@flakeswp6834]

Hi

[@bensevrywere]

god this audio is cancer

[@bensevrywere]

@@DrTrefor good to hear, thank you for educating me

[@andylittlebird5402]

I scare discrete math :/