Intro to Sets | Examples, Notation & Properties

Learning Objectives:
1) Identify examples of sets
2) Write sets without regard to order or repetition
3) Determine whether one set is a subset of another

****************************************************
YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************

****************************************************
Other Course Playlists:

***************************************************

► Want to learn math effectively? Check out my "Learning Math" Series:

►Want some cool math? Check out my "Cool Math" Series:

*****************************************************

*****************************************************

*****************************************************

This video was created by Dr. Trefor Bazett

BECOME A MEMBER:

MATH BOOKS & MERCH I LOVE:

[ThisIsntmyrealnameGoogle]

Coming back a year later to say that I passed discrete math with an A+ and am now a Teacher Assistant for it at my university!

[punkrider]

I'll leave this here in case someone needs it:
∈ - Element of
∉ - Not element of
⊂ - Proper subset of (A is a part of B but they aren't equal, as in B is bigger)
⊆ - Subset of/Every element of (Since all of the members of set A are members of set D, A is a subset of D. Symbolically this is represented as A ⊆ D. Note that A ⊆ D implies that n(A) ≤ n(D) (i.e. 3 ≤ 6).)
⊄ - Not a subset of/Not every element of
|- Such that
ℤ - Integers (A number which is not a fraction; a whole number. Whole-valued positive or negative number or 0. The integers are generated from the set of counting numbers 1, 2, 3, . . . and the operation of subtraction. When a counting number is subtracted from itself, the result is zero. When a larger number is subtracted from a smaller number, the result is a negative whole number)
π - Pi

[Ilovetwerkin]

You make this difficult course easy, thank you so much. Can’t wait till more people discover this channel.

[Troglodyte]

You deserve more than Youtube algorithm thinks you do.

[ThisIsntmyrealnameGoogle]

WAIT... so you can write backwards??? That's amazing.

EDIT: After some deep and critical thinking, there is the possibility of this video just being in reverse. You're amazing regardless though.

[Lovedrug]

I love how the videos are not long and boring . Good job 👏🏽

[fazan]

I just started and I feel relieved that I will be able to pass my class cuz of you

[kif-zallrhat]

One thing that could confuse some people while doing proofs, that may or may not be mentioned in future videos is that a set can contain a single number {1}, but a number itself is not a set. {3} is a set, but 3 is not a set. And because of that 3 is not equal to {3}.

[TheMR-]

Making the video, and playing it in *"Mirrored"* mode, also shows how creative you are Sir :),

[chowdhuryazmalhossain]

Thank you, I really appreciate this class being here, I've tried to listen to the MIT course, but I seem to be much more able to absorb things with your pacing/articulation of the ideas.

[soph]

im starting to study robotics and AI and you´re videos are literally saving my life. you explain SO WELL!!! i wish you were my actual teacher :' )

[christopherbarrett]

I just discovered your channel and I am already liking the teaching style and energy. Looking forward to the next videos!

[MostafaAdwan]

man you definitely killed it in this course, short very informative and simple much appreciated

[CrashTheComet]

Gotta respect a dude that can write backwards that quickly

[slykid]

You make these concepts so easy to understand. Thank you!

[Wildwildmint]

I attended this class already, but some repetition to make sure I get everything does not hurt. I love the way you break down everything in such a simple way.

[marykougl]

I am a liberal arts math student and I wanted to thank you! Without your videos, my GPA would tank

[jenniferwilcox]

You are an amazing professor! Thank you so much for making the videos, I'm doing computer science but I'm feeling the pull to the "dark side" as well :)

[MahdiehErfani]

It was very good and you described this subject obviously. I have just started learning mathematics in English. It was satisfying .

[tttggg]

Amazing videos. Your teaching style is great, love the lectures. (2021)