INTRODUCTION to SET THEORY - DISCRETE MATHEMATICS

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  • Опубліковано 3 лип 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
    Looking for paid tutoring or online courses with practice exercises, text lectures, solutions, and exam practice? TrevTutor.com has you covered!
    Support me on Patreon: bit.ly/2EUdAl3
    Visit my website: bit.ly/1zBPlvm
    Subscribe on UA-cam: bit.ly/1vWiRxW
    -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.

КОМЕНТАРІ • 823

  • @Trevtutor
    @Trevtutor  8 місяців тому +9

    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!

    • @joostterveld7019
      @joostterveld7019 7 місяців тому

      is this link correct? it's not working for me. Really appreciating the videos btw

    • @Trevtutor
      @Trevtutor  7 місяців тому

      @@joostterveld7019 We changed servers. The redirect should be working soon.

    • @MathCuriousity
      @MathCuriousity 5 місяців тому

      @@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?

  • @sumaiaakhand4429
    @sumaiaakhand4429 6 років тому +2194

    You explain this stuff better than my college professor

    • @laalkhan6722
      @laalkhan6722 6 років тому +2

      sumaia akhand hey

    • @quanvu2057
      @quanvu2057 5 років тому

      sumaia akhand xbs

    • @bgregz
      @bgregz 5 років тому +10

      that would be why i am here

    • @willglynn1231
      @willglynn1231 5 років тому +14

      that's why college is scam

    • @lifeisneverthesame910
      @lifeisneverthesame910 5 років тому +31

      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..

  • @greenleaph5145
    @greenleaph5145 5 років тому +649

    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 *

    • @davisanderson1320
      @davisanderson1320 4 роки тому +73

      Mate you just made an already clear explanation even clearer. Nice!

    • @OSSOYT
      @OSSOYT 4 роки тому +1

      Awesome

    • @logikakyrgyz8489
      @logikakyrgyz8489 4 роки тому +1

      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?

    • @genuxeegenux6597
      @genuxeegenux6597 4 роки тому

      Davis Anderson alter bridge

    • @zerlinanatasha5273
      @zerlinanatasha5273 3 роки тому +1

      BRILLIANT EXPLANATION

  • @dampinxo9602
    @dampinxo9602 6 років тому +332

    dude see i have only spent 5min watching and you already making university easy for me........

    • @limeguy8280
      @limeguy8280 5 років тому +9

      @@jxstsid He could be taking an introductory course not related to his degree for the purpose of fulfilling a maths credit

    • @chax255
      @chax255 4 роки тому +9

      @@jxstsid sets are a being taught in university as part of discrete structures a course related to computer algorithms and data structures

    • @hiimabot8937
      @hiimabot8937 3 роки тому

      So true.

    • @egg-iu3fe
      @egg-iu3fe 3 роки тому

      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?

    • @dampinxo9602
      @dampinxo9602 3 роки тому

      @@egg-iu3fe there will help and there cover most part of Discrete math

  • @buzzz241
    @buzzz241 4 роки тому +266

    Please do not delete any old videos! Very important resources that are saved in MANY playlists! Thank you 😊!

  • @keos
    @keos 2 роки тому +30

    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.!

  • @rationalthinker9612
    @rationalthinker9612 6 років тому +48

    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

    • @ShadaeMastersAstrology
      @ShadaeMastersAstrology 2 роки тому +1

      Good teachers make a world of a difference.

    • @iykyk857
      @iykyk857 Рік тому +2

      woah woah woah 4 years later , here i am on the same bus
      seems like someone commented my min 4 years ago

  • @TheSkullman20
    @TheSkullman20 2 роки тому +13

    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!

    • @cgme9535
      @cgme9535 10 місяців тому +1

      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.

  • @obakengafrica2919
    @obakengafrica2919 2 роки тому +5

    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.

  • @oceanbytez847
    @oceanbytez847 3 роки тому +20

    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.

    • @egg-iu3fe
      @egg-iu3fe 3 роки тому +6

      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

  • @pspicer777
    @pspicer777 5 років тому +13

    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.

  • @claudioosorio8334
    @claudioosorio8334 3 роки тому +1

    Great stuff. Keep helping people 3 years later and many more to come. This is the content we need in youtube. Thanks!

  • @sdfsdfsdfsdf5598
    @sdfsdfsdfsdf5598 5 років тому +19

    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!!

  • @mattgraves3709
    @mattgraves3709 3 роки тому +1

    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.

  • @khalidbornaparte6250
    @khalidbornaparte6250 5 років тому +9

    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.

  • @anomalyneo9229
    @anomalyneo9229 4 роки тому +7

    My search is over, soo much knowledge here, how did I not find this genius before now.

  • @willreed9433
    @willreed9433 3 роки тому +7

    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

  • @ColdFuse96
    @ColdFuse96 2 роки тому +1

    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.

  • @jcnot9712
    @jcnot9712 3 роки тому +13

    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!

  • @le8367
    @le8367 2 роки тому +1

    I passed my discrete math classes thanks to you. I am forever grateful.🙏

  • @ThePiMan0903
    @ThePiMan0903 Рік тому +5

    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 UA-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!

  • @andremarins4098
    @andremarins4098 7 років тому +104

    Congratulations on class!
    I am a Mathematics teacher in Brazil, I came to UA-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!

    • @gurneys13
      @gurneys13 5 років тому

      Fala muito bem amigão! Vc usa um vocabulario melhor que o meu! Kkkk

    • @esau9521
      @esau9521 4 роки тому +9

      it's nice to see a teacher trying to improve! Good luck in your classes :)

    • @amjadalisolangiamjadalisol5091
      @amjadalisolangiamjadalisol5091 4 роки тому

      Hi

    • @alanjaf9879
      @alanjaf9879 Рік тому

      Do you offer online lesson ?

  • @wandererdarra193
    @wandererdarra193 5 років тому +23

    This is the best discrete math lecture ever you can find on youtube

  • @Mrhobo251
    @Mrhobo251 7 років тому +3

    Thank you for doing these tutor videos, this coming fall semester I'm taking discrete and this series is going to help a lot!

  • @sonipwn
    @sonipwn 3 роки тому +5

    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! 😊

  • @uovo
    @uovo Рік тому

    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.

  • @joshuajowers5809
    @joshuajowers5809 3 роки тому +21

    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

  • @foubzi
    @foubzi 8 місяців тому

    Literally thank you a thousand times man, passed my DM exam fully thanks to you in 3 days.

  • @abdulrahmanelattar8930
    @abdulrahmanelattar8930 2 роки тому +1

    I have probably never commented on a teaching video but this is amazing. Thank you so much!!

  • @leokeatonn
    @leokeatonn 2 роки тому +1

    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.

  • @kebabusmaximus4857
    @kebabusmaximus4857 2 роки тому +3

    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.

  • @alecvan7143
    @alecvan7143 3 роки тому +1

    I love your approach of clearly defining what is terminology for what

  • @ahmadfahimmohmand2416
    @ahmadfahimmohmand2416 Рік тому +1

    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

  • @donnelly5757
    @donnelly5757 4 роки тому +41

    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!

    • @tapendrashahi2097
      @tapendrashahi2097 4 роки тому +5

      oof...wtfff man... same here. I just came out from coursera and came here to learn.

    • @ishansrivastava3139
      @ishansrivastava3139 4 роки тому +1

      @@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?

    • @tapendrashahi2097
      @tapendrashahi2097 4 роки тому +2

      @@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.

  • @NewToYouTubeChannel
    @NewToYouTubeChannel 2 роки тому +2

    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.

  • @joshryanbligh5791
    @joshryanbligh5791 3 роки тому +10

    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!

  • @tlma452
    @tlma452 10 місяців тому

    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. 😊

  • @johnnyp1235
    @johnnyp1235 2 роки тому

    Literally a life saver i had no idea what was going on in my class until i got here

  • @mr.anonymous6098
    @mr.anonymous6098 2 роки тому +1

    Have an exam in a couple of hours. Your videos helped quite a lot!

  • @TheInalkii
    @TheInalkii 4 роки тому +32

    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!

    • @WhiskeredBope
      @WhiskeredBope 2 роки тому +6

      Thanks a lot for the insight, and congratulations on making it all the way through the course!

    • @rhudinaormasa1962
      @rhudinaormasa1962 Рік тому +2

      Where to get the midterms he provide?

  • @vvarriur
    @vvarriur Рік тому +3

    Thank you so much. A math tutorial just cant get better than this.

  • @heredento
    @heredento Рік тому +2

    Even if the video is 5 years old, is of high quality content, thank you for sharing your knowledge

  • @laceydelaney1519
    @laceydelaney1519 3 роки тому +1

    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.

  • @elilastnamington9808
    @elilastnamington9808 6 років тому +174

    You have great handwriting.

  • @jairajoygampay5286
    @jairajoygampay5286 3 роки тому +6

    thank you so much for this i learn a lot here specially that we are currently in a modular online/modular class!

  • @conforzo
    @conforzo 2 роки тому +2

    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!

  • @aufon1602
    @aufon1602 6 років тому

    Trev's videos are a great asset to the UA-cam math community. Always great to see people helping students out with some difficult concepts.

  • @lubangobetty6896
    @lubangobetty6896 3 місяці тому

    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

  • @winniejoy2448
    @winniejoy2448 2 роки тому +1

    I learnt cardinality as a new thing and I recommend this channel to my classmates thanks so much

  • @RUEffingKiddingMe
    @RUEffingKiddingMe 3 роки тому +2

    This man's explanations are pretty pog

  • @peytoncastillo4508
    @peytoncastillo4508 2 роки тому +1

    He explained it so well! Thanks!

  • @pamameh1841
    @pamameh1841 6 років тому +1

    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.

  • @prideolea
    @prideolea 6 років тому +27

    thank you for posting this, teaching myself some math before I​ actually take the class.

  • @JamesBrodski
    @JamesBrodski 2 роки тому +2

    Amazing. Learned so much in a short amount of time. Wonderful.

  • @imagine.3076
    @imagine.3076 2 роки тому +1

    Thank you. You absolutely saved my grade.

  • @EDROCKSWOO
    @EDROCKSWOO 6 років тому +9

    Thank you Trev, I'm in a bad spot right now, and man i really appreciate your videos man. Bless you

  • @compineering
    @compineering 2 роки тому +1

    Your videos make me love Maths a lot more!

  • @roshanes225
    @roshanes225 2 роки тому +3

    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

  • @rick6676
    @rick6676 3 роки тому +1

    The way you explain is awesome! Thanks!

  • @cluod9828
    @cluod9828 Рік тому +1

    I love you trev, you have a gift!!!!

  • @everettharry8789
    @everettharry8789 Рік тому

    All I can say is that you are such an excellent teacher..

  • @RoszyPeterz
    @RoszyPeterz 3 роки тому

    I enjoyed this video, now I stuck with you for life.

  • @kunal_chand
    @kunal_chand 6 років тому +45

    Your teaching method is fabulous. You made maths very easy .

  • @ianmoon
    @ianmoon 2 роки тому +2

    this is an awesome tutorial thank you

  • @chichibmulenga8515
    @chichibmulenga8515 3 роки тому +1

    Thank you , your making it easier to understand these things

  • @Will-Kun17
    @Will-Kun17 10 місяців тому

    Wow, this video just helped me understood what my missed in my previous math class. Thank you so much!

  • @arturomtz8
    @arturomtz8 Рік тому

    love your videos, thanks man

  • @ashrafmugalli9510
    @ashrafmugalli9510 3 роки тому +98

    when your college professor uses this guy to teach for him instead of actually teaching it himself

  • @user-gg9jw2ei3w
    @user-gg9jw2ei3w 3 роки тому

    u are the best tutor in the world
    thanks

  • @vidushiwarunika6834
    @vidushiwarunika6834 4 роки тому +1

    actually thank you so much,now i can understand set clearly and u taught well

  • @ApplySkills
    @ApplySkills 6 років тому +572

    Not all heros wear capes

    • @Trevtutor
      @Trevtutor  6 років тому +241

      But there's definitely a set that do.

    • @paulaolopes8264
      @paulaolopes8264 5 років тому +11

      hahaha that's really funny

    • @Bonbon-C
      @Bonbon-C 5 років тому +25

      @@Trevtutor "But there's definitely a set that do." That is the nerdiest cutest response I have ever seen in UA-cam! TREV I LOVE YOU! SINCERELY BRO I REALLY DO! =D =D =D

    • @psych_shock4370
      @psych_shock4370 3 роки тому +2

      He’s just a hero that does mathematics.

    • @ulysses_grant
      @ulysses_grant 3 роки тому +2

      @@Trevtutor Lol, best reply!

  • @juancaos01
    @juancaos01 3 роки тому +3

    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

  • @mwendamunenemike9358
    @mwendamunenemike9358 2 роки тому

    You're my hero, man.

  • @user-cm3xt8nk7s
    @user-cm3xt8nk7s 3 роки тому +1

    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 💓

  • @harrychristabel
    @harrychristabel 2 роки тому +1

    Your explanations are amazing. Thank you and God bless you.

  • @puravidaa87
    @puravidaa87 Рік тому

    Thanks! Really well made video. Your way of explaining helped me a lot to get the idea of set theory. I keep watching!

  • @mathoesify
    @mathoesify 2 роки тому +1

    Fantastic explanation. Thank you.

  • @islamsalem7279
    @islamsalem7279 2 роки тому +2

    Dear , really appreciate your excellent effort

  • @johndarland3633
    @johndarland3633 4 роки тому +4

    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.

  • @ICBEM
    @ICBEM 5 років тому

    It's a brilliant teaching way

  • @rafhaellowixhomwad
    @rafhaellowixhomwad Рік тому +1

    Thank you sir for explaining well.

  • @JPNSynster
    @JPNSynster 6 років тому +3

    Hope you make some more math playlists you are an excellent teacher.

  • @senzmaki4890
    @senzmaki4890 2 роки тому

    Ur doing the lord's work for various CS students

  • @misbahzafar2154
    @misbahzafar2154 4 роки тому +3

    You are the best math teacher I have ever known besides I am in 8

  • @idideoluwaosinaiwo3598
    @idideoluwaosinaiwo3598 Рік тому +3

    Thanks a lot for this video. It is really helpful

  • @rhudinaormasa1962
    @rhudinaormasa1962 Рік тому

    The best teacher!♥️

  • @meow-sp8jx
    @meow-sp8jx 3 роки тому +1

    TYSM THIS IS MORE HELPFUL THEN MY MATH TEACHER'S EXPLANATION!!

  • @nrkv
    @nrkv 3 роки тому +2

    Great video, thank you!

  • @lishikadickson3361
    @lishikadickson3361 2 роки тому +2

    this explanation is perfect than what my lecture did it

  • @suaraxxtikus
    @suaraxxtikus 2 роки тому

    im glad my teacher shared this video :)

  • @marjoqako7887
    @marjoqako7887 3 роки тому

    The only reason I am feel optimist of passing Discrete Maths Exam are your videos. Explained much more easier than at University.

  • @vibalearningchanel1567
    @vibalearningchanel1567 3 роки тому +1

    amazing video. This video helped me understand set theory a lot and cardinality

  • @alemthehaygebeyehu1840
    @alemthehaygebeyehu1840 5 років тому +87

    Teacher: (Explaining)
    Me: I don't understand
    AT HOME
    Me: Let me search today's topic
    UA-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!!!

  • @kieransweeney7753
    @kieransweeney7753 7 років тому +3

    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!

  • @joshuakatetobm4943
    @joshuakatetobm4943 2 роки тому +1

    I really enjoyed your lessons, you are really a good tutor. Thank you sir

  • @chengalham8993
    @chengalham8993 3 роки тому +1

    Thank you so much sir for uploading this video. It helped to to understand set theory more detaily and more easily

  • @charlesmwai5593
    @charlesmwai5593 6 років тому

    I'm very grateful for video.... congrats!!

  • @janschnyder5137
    @janschnyder5137 6 років тому +7

    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!

  • @catcen9631
    @catcen9631 2 роки тому +16

    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

  • @yuehernkang
    @yuehernkang 4 роки тому

    very good and clear explaination