INTRODUCTION to SET THEORY - DISCRETE MATHEMATICS
ฝัง
- เผยแพร่เมื่อ 25 ก.ค. 2024
- We introduce the basics of set theory and do some practice problems.
This video is an updated version of the original video released over two years ago. Hopefully the higher pen quality and refined explanations are beneficial for your learning. If you'd like to see more videos redone in the series, please leave a comment down below.
#DiscreteMath #Mathematics #settheory
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-Playlists-
Discrete Mathematics 1: • Discrete Math (Sets, L...
Discrete Mathematics 2: • Discrete Math (Countin...
-Recommended Textbooks-
Discrete and Combinatorial Mathematics (Grimaldi): amzn.to/2T0iC53
Discrete Mathematics (Johnsonbaugh): amzn.to/2Hh7H41
Discrete Mathematics and Its Applications (Rosen): amzn.to/3lUgrMI
Book of Proof (Hammack): amzn.to/35eEbVg
Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.
Check out my new course in Set Theory: trevtutor.com/p/master-discrete-mathematics-set-theory
It comes with video lectures, text lectures, practice problems, solutions, and a practice final exam!
is this link correct? it's not working for me. Really appreciating the videos btw
@@joostterveld7019 We changed servers. The redirect should be working soon.
@@Trevtutor Do you mind helping me for predicate logic in explaining the difference between the following terms “interpretation” “structure” “semantics” “model” “theory”. Maybe visually also like if each fits inside another?
In the realm of computers you can look at it this way:
Empty set within an empty set: {Ø}
- Documents folder
- Empty Folder
* No files *
Mate you just made an already clear explanation even clearer. Nice!
Awesome
So, {a set} -> {a "folder", a "box"}, or
{a folder, a box} -> {a set}. Is that so? :-)
is - Ф - a folder, a box, or is - {Ф} - a folder, a box?
Which one of them is a "box" or a "folder"?
Remember, the author refers to Ф as a box?
Davis Anderson alter bridge
BRILLIANT EXPLANATION
You explain this stuff better than my college professor
sumaia akhand hey
sumaia akhand xbs
that would be why i am here
that's why college is scam
Not necessarily true. You're in focused when you re attended lecture. Your subconscious mind works so hard to understand that lecture and then you watch this lecture video. Everything becomes clearer now..
dude see i have only spent 5min watching and you already making university easy for me........
@@jxstsid He could be taking an introductory course not related to his degree for the purpose of fulfilling a maths credit
@@jxstsid sets are a being taught in university as part of discrete structures a course related to computer algorithms and data structures
So true.
bros, im starting a computer science degree soon and trying to prepare, do you think these videos will help? Do they cover all of discrete maths?
@@egg-iu3fe there will help and there cover most part of Discrete math
Please do not delete any old videos! Very important resources that are saved in MANY playlists! Thank you 😊!
@Mike please do
@Mike How to make backup of these? 😀
@@buzzz241 stare at the video then walk backwards from the computer
@@dbuc4671 😂😂
@@buzzz241TH-cam-DL
This playlist perfectly follows what we study in school. Watching until subset because thats what we had in our first lecture. Thank you very much Mr.!
I did this stuff back in high school and now out of interest I decided to do search for set theory and its making so much sense. You are really good at explaining things.
This kind of content is what is necessary - accessible, presented in a manner that can be digested by the "layperson". Thanks for the time and effort you put into these series of lectures. Please keep going as this type of teaching is so broadly useful.
Just found your videos...I am halfway through a discrete math semester and my teacher absolutely sucks at explaining this...I am thankful for your videos...I am going to bulldoze through all of your videos in 2 days and get myself up to speed on what the hell is going on in my class
Good teachers make a world of a difference.
woah woah woah 4 years later , here i am on the same bus
seems like someone commented my min 4 years ago
Dude, I'm here to THANK YOU! I'm just horrible at math, I watched all your videos, and I did all the exercises during my vacations, and I passed on discrete math exam, with a shitty grade but I don't care, your videos help me a lot!!
When this guy explains it, it seems so easy. When the professor from overseas explains it... Well lets just say thats why all my friends gave up computer science as a major.
and can you imagine we are paying tens of thousands of dollars to universities to teach us a degree when people literally teach it better and for free on youtube. insane world we live in
Man you are doing something great with your life. May god guide you and give you strength and power to keep doing these amazing videos educating people with less knowledge than you. You don't know how happy and grateful i am for these videos and i'm sure many people feel the same way.
OH MY!!
I can't believe what I am seeing.
This playlist has Everything... all of it, nearly the whole complimentary, relevant to my career Set of Maths are here in one place and taught by a great teacher.
I am floored...
... and ceilinged.
Thank you for doing these tutor videos, this coming fall semester I'm taking discrete and this series is going to help a lot!
Watching your videos because in 16 minutes you just explained my entire 2 hour lecture from today and made it far more simple to understand
You sir are a life saver! I wish you were my teacher, love the way you explain and you have a neat handwriting! Thank you for making these videos! 😊
Great stuff. Keep helping people 3 years later and many more to come. This is the content we need in youtube. Thanks!
Thank you for all your videos sir! Your videos were really able to help me in my math classes especially in college. You were also one of my inspirations on starting out a TH-cam Channel in hopes that I would be able to help other students go through their math lessons more smoothly. Thanks again, I really appreciate it!
My search is over, soo much knowledge here, how did I not find this genius before now.
i pay 9 grand a year only for this youtube video to explain it so much better than my university professor! Thank you for the vids!
I'm in college for CS, and one of my teachers taught one of my classes almost 70% through LinkedIn Learning, which was from a teacher that was fantastic. If people would just get over the whole "You aren't educated unless you went to college" shtick, then we could actually have affordable education. I don't think a course on LinkedIn Learning would cost me 9 thousand a year, but it's teaching me the same thing. So dumb.
Amazing introduction, super excited to learn more about the subject! Your method of explaining both the theory and relating it to every day life is a very useful way of remembering what I've just learned.
Coming off of my junior mechanical engineering semester. I was barely able to pass my classes, so this is the start of my journey in going back to the basics to discover where I’ve gone wrong. Wish me luck, and best of luck to all of you going on your own journeys!
I absolutely love that my brain is actually absorbing all of this. I was mindlessly reading through a textbook, but this is so much better than that.
Congratulations on class!
I am a Mathematics teacher in Brazil, I came to TH-cam to attend math classes in English to improve my English proficiency.
Very objective and concise classes.
More students should attend their classes.
However, I would like to make one observation: the curricular structure of the Discrete Mathematics course is slightly different from here.
In addition, excellent class!
Fala muito bem amigão! Vc usa um vocabulario melhor que o meu! Kkkk
it's nice to see a teacher trying to improve! Good luck in your classes :)
Hi
Do you offer online lesson ?
I love your way of presenting things in different colors, it really helps break up all the information into more recognizable pieces. Thank you for the explanation!
Thank you a for these lessons. Watching this makes me more hopeful that I might pass the math course this semester. informative, productive with superb pedagogic acumen. THANKS TrevTutor
i have tried many free courses here on youtube and this is the higher quality one in every aspect, good audio, good video quality, good explainations AND exercises.
I really found the right place to get help from..So, I just want to say thank you because of the well explained concept on discrete mathematics. Thanks a lot TheTrevTutor.
Hello all, just visiting from the other side of this series, just finished it. It is in depth, easy to follow and will prepare you for everything in DM 1 as long as you take the time to really absorb it AND take the midterms he provides. Some of the videos have mistakes, if something seems off, 90% of time there is a correction for it in the comments, just go look for it. Good luck to all of you!
Thanks a lot for the insight, and congratulations on making it all the way through the course!
Where to get the midterms he provide?
This is the best discrete math lecture ever you can find on youtube
you are a god, I've got my midterm in 5 days and my professor has been anything but helpful in the way of study material so your videos are going to carry me through this.
I love your approach of clearly defining what is terminology for what
In your 16 minute video(which I watched at 2x speed), you covered everything my professor did and a lot more in 2 50 minutes lectures
Never have I taken discrete mathematics and I was able to understand everything! As a visual person, you explained this very well-especially with the cardinality at the end. 😊
Starting "Discrete Structures" today, I have a feeling I'm gonna spend a lot of time here. Good that you seem to be a good pedagogue!
I have probably never commented on a teaching video but this is amazing. Thank you so much!!
Not all heros wear capes
But there's definitely a set that do.
hahaha that's really funny
@@Trevtutor "But there's definitely a set that do." That is the nerdiest cutest response I have ever seen in TH-cam! TREV I LOVE YOU! SINCERELY BRO I REALLY DO! =D =D =D
He’s just a hero that does mathematics.
@@Trevtutor Lol, best reply!
I passed my discrete math classes thanks to you. I am forever grateful.🙏
As an aspiring data scientist, I have spent nearly 4 hours using two different discrete mathematics courses on Coursera, yet I learned and understood more in this 16 minute video than in my previous 4 hours. Great job! Keep it up!
oof...wtfff man... same here. I just came out from coursera and came here to learn.
@@tapendrashahi2097 Did you see all the lectures posted? Are these worth giving a try for a non-cs undergrad to switch to graduation in cs, a beginner and a complete noob in discrete mathematics?
@@ishansrivastava3139 Hey, I am not all the way through the playlist. But I have reached lesson 19 and so far I can tell that even a noob in discrete maths can take this lesson easily. In fact, these videos are made keeping the noobs in mind. I do game development so this is an extremely good knowledge base for me. For a cs grad, I think you will benefit from this.
thank you so much for this i learn a lot here specially that we are currently in a modular online/modular class!
Trev's videos are a great asset to the TH-cam math community. Always great to see people helping students out with some difficult concepts.
Thanks a lot for all the videos, you made a course of hell like discrete fairly easy to understand which i ahve been trying so hard to do.
Your teaching method is fabulous. You made maths very easy .
Wow this is such a way better explanation. I was so confused during lecture glad I found someone to help me better understand the material.
Have an exam in a couple of hours. Your videos helped quite a lot!
Literally thank you a thousand times man, passed my DM exam fully thanks to you in 3 days.
thank you for posting this, teaching myself some math before I actually take the class.
Thank you Trev, I'm in a bad spot right now, and man i really appreciate your videos man. Bless you
The best. Got me through University module; computational modelling like a breeze, I got 90/100 and after I got 100/100 because I was smart enough (thanks to your tutorials) to see that the question I got wrong had no correct answer... it was a multiple choice test lol.
You have great handwriting.
IKR
I know XD
Yea lol hehe
everyone have must to know you channel, you are amazing, I'm a Colombian student and I try to understand because you are better than my university teacher, thanks a lot for this T.T
Teacher: (Explaining)
Me: I don't understand
AT HOME
Me: Let me search today's topic
TH-cam SEARCH BAR
Introduction to sets
Trev Tutor :Introduction to sets
Me: let me watch this
2 min later
Me;This guy is better than my math teacher it's so easy that I don't have to study for my maths test on this topic!!!
Even if the video is 5 years old, is of high quality content, thank you for sharing your knowledge
Thank you so much. A math tutorial just cant get better than this.
Hope you make some more math playlists you are an excellent teacher.
I learnt cardinality as a new thing and I recommend this channel to my classmates thanks so much
Wow, this video just helped me understood what my missed in my previous math class. Thank you so much!
Oh my god 🙏 I understand everything in this video not like what have my doctor teach me in the last lecture.. thank you very much from my Heart 💓
Amazing. Learned so much in a short amount of time. Wonderful.
My professor introduced set theory today but all of us got confused, just few seconds here i ve got the concept,thx for simplifying my work
Thanks! Really well made video. Your way of explaining helped me a lot to get the idea of set theory. I keep watching!
actually thank you so much,now i can understand set clearly and u taught well
when your college professor uses this guy to teach for him instead of actually teaching it himself
college in which country?
@@humphreyappleby2847 Netherlands
I wish
Lol
Your video tutorials saved my (academic) life. My first online college course, I found the resources were altogether lacking. This really helped me this summer semester. Thank you!
A useful analogy I've heard for 7:20 is think of sets as boxes. If you have a box with nothing in it, then that box is empty so it is size 0, but if that box was in a larger box, then that larger box would have 1 box inside, even if that box inside is empty.
All I can say is that you are such an excellent teacher..
damn dude thx for making these videos. its just godly if i can just come home and review the subject by watching your vids instead of having to repeat it all over again. Keep up the good work!
This feels way more natural and easier to understand than calculus! I'm so amped for discrete math
Update: it was way easier than calculus
Literally a life saver i had no idea what was going on in my class until i got here
Thank you , your making it easier to understand these things
Thank you so much sir for uploading this video. It helped to to understand set theory more detaily and more easily
You are the best math teacher I have ever known besides I am in 8
This man's explanations are pretty pog
Nice taking discrete math this semester these videos are going to be useful
Thank you so much for the lecture ✨
I'm a first year student and this really helped 🔥
Your explanations are amazing. Thank you and God bless you.
This is awesome because the book was confusing me. If your whole series is like this first video, I am so donating.
Great video, you explain really well. I can't believe this doesn't have more likes with all these views.
Thank you. You absolutely saved my grade.
Your videos make me love Maths a lot more!
my college professor was "trying" to explain this for 3 hours straight and it was so messy. Thank you so much for an amazing explanation! I really appreciate your videos
The only reason I am feel optimist of passing Discrete Maths Exam are your videos. Explained much more easier than at University.
I really enjoyed your lessons, you are really a good tutor. Thank you sir
Better than my professor! The things he teaches in an hour you teach it in just 10 min in a more understandable way! Thank you. Keep up the good work
The way you explain is awesome! Thanks!
amazing video. This video helped me understand set theory a lot and cardinality
Wow....Another great tutor like "The Organic Chemistry Tutor"....
Great...Love the Video
Nah, The Organic Chemistry Tutor is not nearly as good as Trev; he never proves formulas and blindly applies them.
I've got a Ph.D in maths (optimization of charged positively ions)
This is a great refresh for me. Set Theory us very important in Computer Science for grouped elements, as is Field Theory and Galios Theory.
I enjoyed this video, now I stuck with you for life.
Nice man! I'm glad you're doing these again
Definitely have to redo the older series at this point! They look like they were test videos from 2010.
I'm so glad I found your channel! I'm supposed to be taking this course next semester and I don't know what to expect from my professor. You make this easy to follow. I'm still confused about the empty set but I guess I'll just keep watching that part until I understand it lol. Thanks for the upload! You've earned a new sub
This was wonderful. I remember when I was in high school and our math teacher, who had taught conventional math for years struggled through this the whole semester. It was laughable. I think he had PTSD for a good while after that.
I was taught that N natural numbers is from 1 upwards and if you include zero then it's called whole numbers with the symbol N_0 (N subscript 0)
awesome video. They don't really teach you about this stuff in high school. Thank you so much
TYSM THIS IS MORE HELPFUL THEN MY MATH TEACHER'S EXPLANATION!!
Dear , really appreciate your excellent effort
He explained it so well! Thanks!
Have to take this course next summer but just taking a peek at what is to come. Just changed my major to comp sci and im scared as hell but also excited as hell! This class looks interesting and will definitely be a hell of a challenge.. anything to really focus on in this course besides obviously everything.
Focus on understanding the theory instead of memorizing it. The easiest way to fail or do poorly in a math course is to just memorize how things work. In high school it's a great strategy, but not so much in college.
TheTrevTutor great point. My study skills definitely need to improve. Practicing, working at problems, understanding what is going on is key, of course. I definitely will be prepared when it’s time to take this course for sure. You earned yourself a sub! I’ll definitely be in touch for more advice, if permissible, in the future. Thank you!
I used to get confused when I had to express sets but as of today you made things clear my man
i was think i will impossible understand the course and i will fail but after your video it was so simple and easy and fun thank you very much i appreciate your afford