Discrete Math - 9.1.1 Introduction to Relations

An introduction to relations including notation and several practice questions to determine if R is a relation.
Video Chapters:
Introduction 0:00
Relations 0:12
Give the Relation 2:37
Binary Relation on a Set 3:50
Relation Practice 6:50
Up Next 10:23
Textbook: Rosen, Discrete Mathematics and Its Applications, 7e
Playlist: • Discrete Math I (Entir...

[@YuPois8520]

As the semester is coming to an end, I just want to say that I extremely appreciate these DM videos you put out. You have taught me more than my own prof in class. Matter a fact whenever i have my online DM class i just mute it and watch your videos during class😅 You are the only reason why im passing my DM class right now. And i just want to thank you from the bottom of my heart. Thank you Kimberly! 🤗

[@ecru_5819]

Literally This is the best playlist I've found that covers the same text we use. Easier to understand and doesn't rely on you instantly understanding everything

[@SawFinMath]

I appreciate it!

[@SawFinMath]

@@ecru_5819 Thanks!

[@wachowski9525]

THANK YOU KIMBERELY BREHM [ or Ms. Brehm :) ] I have a learning disability where it's really hard to keep up in class taking notes by hand, and a lot of discrete math is hard to type on a computer during lecture (symbols, notation, etc.) otherwise I would do that most of the time and be fine. Just looking at the lecture notes after class isn't enough, actually hearing someone explain it makes such a big difference. So thank you for your videos, they allow me to refresh on a section while pausing to take the detailed notes I want. I'm genuinely happy when I find your videos.

[@tporter900]

Far above any other resource for Discrete Mathematics. You are a huge asset to students everywhere. Thank you.

[@chrisskiingpowpow]

Thank you so much for these lecture videos. I attend school at a large public university and discrete math teaching is almost non-existent. Your material is clear and really helps me solidify concepts before working on homework. You're a lifesaver. Thank you thank you!

[@zakeerp]

Your Channel deserve more views and lakhs of subscribers.. thank you for this wonderful tutorials..

[@SawFinMath]

Thanks so much!

[@vil3n80]

you are my savior. you have all your playlists neatly ordered based of the book my professor uses. Thank you

[@SawFinMath]

Lucky you! Spread the word :)

[@ITTLi]

Best and easiest explanation so far, and way better than college prof, learn a lot from this channel and able to achieve good grades, appreciate for the effort and details 👍🏻

[@adrianlowery4764]

I have been torturing myself by only reading the Rosen book & trying to piece together the concepts in my head. Each concept has taken so freaking long to decipher. But with your videos I've learned the concept and taken notes in >30 minutes. Thank you!!

[@greenishtri]

Hey Kimberly, your content is wonderful and my suggestion is that you should start a course on Udemy or any other platforms that teaches Discrete Maths! You're absolutely amazing and I really thank you from the bottom of my heart!

[@ismailkassim6325]

One dislike is from Eric

[@18characters]

LOOL 😂💀

[@xx_shorbs]

lmao

[@DaiMoscv]

I think I almost finished all the list but still how come this much information taught only within 3 months in college along with other classes... These videos really made my life much easier, now let's hope I can pass the exam.

[@Hafive]

Thank you Ms.Kimberly Brehm for the great explanation about this lecture. I wish you good health :)

[@SawFinMath]

I appreciate it!

[@ItachiUchiha-po7iw]

excellent lecture from u MAM

[@SawFinMath]

Glad you liked it

[@oxytechsystems2479]

@6.30 Binary Relation on set How we know that whatever we divide should integer

[@vishal7218]

keep going its really helpful

[@aaronayubasamaila8821]

Excuse me! Please I need more clearity. A X B = {(a, b): a belongs to A and b belongs to B} Explain why you do not have {(1,c), (2,b), (3,b), (3,c)} as ordered pairs in R. I though R is a subset of A x B?

[@aminhidden8973]

containing all oops all of those ordered pairs

[@junaidmughal3806]

Love it!

[@SawFinMath]

Thanks!

[@helloest]

At 7:58 when you said "elements" you meant "subsets" right? 2^m is number of subsets, not elements.

[@SawFinMath]

Yes. Subsets.

[@Aggierico]

3 brothers! I hope you were the oldest

[@SawFinMath]

Haha nope! I’m #3

[@ZulfiqarAli-zf3vg]

Mam please send me image of first exercise of this chapter

[@kerrymanoti]

Oh wow youtube... 30 seconds and im swarmed by ads

[@_foley_6371]

ITER GUYSSSS

[@oumaimaalazhari8704]

why we don't put {1,c}

[@SawFinMath]

That just didn't happen to be in the relation.

[@colonelh.s.l.3834]

Why is |AxA| = n^2?

[@HariSakshi_Khatiwada]

If set A has m elements and set B has n elements, then A×B has m×n elements. Since both the sets are "A" here, n×n= n². So, the cardinality is n².

[@18characters]

Anybody from Igor Poliakov's MATH 1190 course? 🤣

[@samyen3210]

Eric watching this video : 😢

[@SawFinMath]

Hahaha. Poor Eric!

[@edwardj4454]

First of all, I just want to say this is an excellent video on an introduction to relations. However, I do believe that there is a slight issue with the orange colored note on what a function is at the beginning. As opposed to saying a function is a relation where EACH element of B is mapped to by only ONE element of A (which I feel is a little misleading since that would mean every function is a one-to-one which is not the case), would it not be better to say that exactly one element of B is assigned to each element of A? If I am wrong please let me know but otherwise thank you Professor Brehm!

[@OMRIGREEN-xw3he]

Yes, you are correct. A function f: A -> B has the property that each element in the domain (A) maps to a single element in the codomain (B).

[@kumaravelrajan]

You are right. I was just about to comment this.