Functions, Domain, Codomain, Injective(one to one), Surjective(onto), Bijective Functions

Поділитися
Вставка
  • Опубліковано 15 січ 2025

КОМЕНТАРІ • 124

  • @abdallahkiswani4697
    @abdallahkiswani4697 5 років тому +46

    Min. 6:50 is hilarious 🤣

    • @mrboyban
      @mrboyban 4 роки тому +2

      the teacher's revenge😂

    • @maths00037
      @maths00037 2 роки тому +2

      I loved 0:27

  • @JorgeOrtega0723
    @JorgeOrtega0723 3 роки тому +73

    "People watching this video on youtube are most likely in a discrete math class"
    Me in a discrete math class: "He IS a sorcerer"

    • @normanhenderson7300
      @normanhenderson7300 3 роки тому +2

      I, when I was introduced did not even know it was called that. My pre- high school days I was introduced to the concept of sets. I was just a novice drawing circles and labeling them, without knowing what the fuck I was doing. The teacher who was teaching me in primary school, did not know what the fuck she was doing either. Word man.
      I was using an abacus in kindergarten without being told, that was what it was called. We learnt to divide the beads in hundreds, tens, and units. I did not know what the fuck I was doing.

    • @natah1284
      @natah1284 2 роки тому +1

      Sooo😂 true. I am 🤣🤣🤣 searched quite a lot on the internet this is one of the best. Proved that you dont need fancy images to teach but passion! Thanks math sorcerer. 1 more suscriber 😁

  • @wakaboomnick
    @wakaboomnick 2 роки тому +23

    Great respect to the math sorecerer. I was hired by an evil company to do finance after i studied maths but I lurk the deeps of the web to study mathematics in my spare time. and the math sorcerer is a priceless channel. love what this guy does. Hopefully i can make it so i can go back to studying math full time :'(. Even watching the beginner videos get me nostalgic of my start in mathematics.

  • @47alec
    @47alec 3 місяці тому +1

    You're a national treasure. Thank you so much, it truly means the world to me with how helpful this video has been. God bless you, Math Sorcerer.

  • @danieljohnson6898
    @danieljohnson6898 3 роки тому +13

    I'm taking an online course in abstract algebra after not touching math for 5 years... your videos may be the one saving grace that helps me finally finish my math degree. Thank you so much

  • @farhanfuad2898
    @farhanfuad2898 3 роки тому +10

    This guy taught me something that I had to understand by watching more than 10 videos.amazing.

  • @grothendieckriemann5893
    @grothendieckriemann5893 4 роки тому +41

    what a good vibe in this clasroom. I wish professors will be more this and less angry.

    • @TheMathSorcerer
      @TheMathSorcerer  4 роки тому +10

      That was my office actually lol, just hanging out

    • @BATMAN10N
      @BATMAN10N 4 роки тому +2

      yes this vibe is what makes u wanna study , i find myself lucky to have come across this guy

    • @pinklady7184
      @pinklady7184 3 роки тому +2

      The Math Sorcerer, I never knew professors can have their own offices. Wow. That is new to me. I love to see the layout of your office. I love to see professors' rooms that they use for researches, and see also their libraries.

    • @pinklady7184
      @pinklady7184 3 роки тому

      I love seeing professors' offices, those at universities and homes.
      When I was a kid, I used to stereotype all professors as old refined men in tweed suits and dixie bows, those old-schooled types with posh accents. I imagined their offices full of antique furnitures, big curtains with mothballs, libraries with dilapidating shelves, threadbare rugs, etc.
      Like this example. ua-cam.com/video/4Yf2rnYeO9Y/v-deo.html

  • @1willFALL
    @1willFALL 5 років тому +39

    Its people like you who I wish to go to a bar and drink then casually bring up a math problem and start scribbling some proof on a napkin

    • @normanhenderson7300
      @normanhenderson7300 3 роки тому

      Actually there was a UCLA mathematicians who got to do some LSD and knock out some advanced mathematics like nothing.
      He claimed to be smarter under the influence.

  • @Cory_
    @Cory_ 3 роки тому +7

    The distinction of "at most once" and "at least once" really helped me remember the difference. Thanks.

  • @Charles_Reid
    @Charles_Reid 3 роки тому +10

    This is the most math I have ever learned in 17 minutes. Felt like the absolute basics when you described it, but if you talked about these concepts to someone who doesn’t know math, they would look at you funny. Keep it up big dog. Don’t take naps

  • @skyvsjp5063
    @skyvsjp5063 4 роки тому +17

    Watching this video as I am reviewing for my exam. I can't help but say "what a passionate teacher!"

  • @horksurf6168
    @horksurf6168 4 роки тому +63

    give this man a bigger whiteboard, jesus. good stuff!

    • @TheMathSorcerer
      @TheMathSorcerer  4 роки тому +8

      haha wow this video, forgot about this one

    • @pinklady7184
      @pinklady7184 3 роки тому +1

      Before this, I thought I was the only one to have noticed that.

    • @normanhenderson7300
      @normanhenderson7300 3 роки тому +3

      Ever notice it is usually the math professor who lacks adequate resources the most interesting?

    • @normanhenderson7300
      @normanhenderson7300 3 роки тому

      @@TheMathSorcerer , You rock plenty man. Nice tan too. My white soul brotha, alright.

    • @normanhenderson7300
      @normanhenderson7300 3 роки тому

      @@TheMathSorcerer , We should donate to charity though. That is how I feel.

  • @ripperduck
    @ripperduck 2 роки тому +3

    Your students are VERY lucky to have a prof like you....

  • @M4Inchan
    @M4Inchan 3 роки тому +14

    Thank you for making this very clear. The enthusiasm was amazing too. Made learning a blast.

  • @alissiyaify
    @alissiyaify Рік тому +3

    this is exactly the explanation i needed when i first hit the topic of functions at school. i was desperately searching for answers on "what the hell are these functions? what do they mean? w h y?" that made sense to me and literally nobody around was capable of creating a decent explanation. damn i'm happy i found your channel!
    but still, why don't they explain the whole concept at schools tho?

  • @victoria1489
    @victoria1489 11 місяців тому

    You deserve the world and beyond man, I truly understood everything and actually got pissed off when the add appeared hahah. Thank you so much!!! Best math teacher ive ever encountered 💗💗

  • @MrRadius03
    @MrRadius03 2 місяці тому +1

    Amazing class!! Love your channel, you're so enthusiastic about math it makes me enthusiastic too lol

  • @ushaidpstirupati6343
    @ushaidpstirupati6343 3 роки тому +1

    Even as a non-native speaker I could understand the topic. Thank you, sir..

  • @jacquelinebinya7955
    @jacquelinebinya7955 2 роки тому +1

    Loved this tut, you make learning math fun, interactive and intuitive.Thanks!

  • @ThatKGKid
    @ThatKGKid 4 роки тому +3

    Thank you, somehow made it to Abstract Algebra without fully understanding these terms. Great explanation!

  • @andrewesquibel9614
    @andrewesquibel9614 2 роки тому +7

    I feel like I'm watching someone teach illegal math in a basement somewhere.

  • @tellusapartments3398
    @tellusapartments3398 Рік тому +1

    It feels like you guys went to the janitor's closet to do this video. 😄😄
    Still love it.

  • @simplyjill8309
    @simplyjill8309 3 роки тому +2

    watching this in 2021 and its was so helpful thanks a lot l wish you were my teacher

  • @thabangkhoetha2038
    @thabangkhoetha2038 Рік тому +1

    Lol this class was amazing for the first time I learnt understood and laughed, Thank you Kyle, Dylan and the Sorcerer great stuff

  • @kklol07
    @kklol07 2 роки тому +1

    i love the aesthetics of the class

  • @maemcg
    @maemcg 2 роки тому +1

    the only time i understand onto is when this man explains it... thank you

  • @baconlover1158
    @baconlover1158 6 місяців тому +1

    u just made my day better :)

  • @Parmesanz
    @Parmesanz 4 роки тому +4

    I love the enthusiasm

  • @tmann986
    @tmann986 10 місяців тому

    im doing discrete math homework but its online so I have no lectures and just a textbook lol. Thank you so much for this! your lecture style on the board makes it soooooo clear!

  • @yogitajindal3149
    @yogitajindal3149 Рік тому

    Easily memorable and great explanation 🙏🏻

  • @gracenasnas9510
    @gracenasnas9510 5 років тому +4

    Finally made sense (former student and fan- currently at FSU - Olivia E !!)

  • @horksurf6168
    @horksurf6168 4 роки тому +5

    You made this so fun

    • @TheMathSorcerer
      @TheMathSorcerer  4 роки тому +1

      thanks man, we had some good times that day, this was all pre coronavirus:) Fun times.

  • @TheAAZSD
    @TheAAZSD 5 років тому +7

    I come for the Maths, but I stay for the on the low Mobb Deep references.

  • @RaeTheActuary
    @RaeTheActuary 3 місяці тому

    co domain, coo domain, co domain 😂😂😂😂, love you man

  • @Lydi-ia
    @Lydi-ia 11 місяців тому +1

    I wish this dude was my intro to analysis teach 😢

  • @Nillipilli
    @Nillipilli 3 роки тому

    Really nice to watch 👍🏻

  • @Team-1-Solo
    @Team-1-Solo 2 місяці тому +1

    I wish you were my math instructor.

  • @pibbxtra3969
    @pibbxtra3969 10 місяців тому

    This was insanely helpful

  • @kklol07
    @kklol07 2 роки тому +3

    24k views but 800 likes, like ayo its 24k gold education!

  • @george4746
    @george4746 3 роки тому +1

    Awesome video. BTW, is there a way to test whether a function onto using graphs, I mean like horizontal line test?

  • @brendanmccann5695
    @brendanmccann5695 3 роки тому

    Injective: everything in CoDomain hit at most once. Surjective: at least once. Correct? If so that's a great way that you put it (4:52)

    • @brendanmccann5695
      @brendanmccann5695 3 роки тому

      Wow, MS, you said the whole thing at (10:19) and more I should have waited.

    • @TheMathSorcerer
      @TheMathSorcerer  3 роки тому

      yeah injective = at most once, surjective = at least once, so bijective = everything gets hit exactly once

  • @jackingham3069
    @jackingham3069 3 роки тому

    Great lecture! Really useful, thanks. 😅

  • @s2260
    @s2260 2 роки тому +1

    this guy is gold

  • @BATMAN10N
    @BATMAN10N 4 роки тому +2

    i say i ditch my college and learn from u , it will be good for both mind and health, passionate and hilarious why dont u start distributing copies of urslef as private tutors arnd the world.

  • @physicsisawesome696
    @physicsisawesome696 Рік тому

    0:27 Dude, that thing jumpscared me 😂

  • @jovanagmijovic4953
    @jovanagmijovic4953 4 роки тому +5

    i wanna be the kyle of the class

  • @isaac7979
    @isaac7979 3 роки тому +2

    I enjoyed this video, I learned a lot. Thanks!

  • @chriswilliams5291
    @chriswilliams5291 2 роки тому +2

    What math class is this for?

  • @averagecandy2581
    @averagecandy2581 Рік тому

    so co-domain is always equal to Real numbers?

  • @inioby3904
    @inioby3904 3 роки тому +1

    thank youu 🙏🏽

  • @michaelaladejobi
    @michaelaladejobi Рік тому

    ♥️♥️♥️

  • @mortadha2318
    @mortadha2318 3 роки тому

    i need help, is being bijective; mean that the function must be strictly monotonic and continuous over an interval.or just striclty monotonic without mentioning continuous???
    and thank you

  • @carolineheater6004
    @carolineheater6004 3 роки тому +1

    he is so fun and adorable

  • @unclegardener
    @unclegardener 2 роки тому

    0:27

  • @bruceslasher6374
    @bruceslasher6374 3 роки тому +1

    Dude from the series Chuck is a math Teacher

  • @hemnkhdr5658
    @hemnkhdr5658 2 роки тому

    I think the domain should be the set of strictly positive real numbers R++ Min. 2:45.

  • @Jerlew2
    @Jerlew2 3 місяці тому

    Gotta love the hor line test 😏

  • @MsGayatri1986
    @MsGayatri1986 3 роки тому +4

    I wish I was in his class

  • @marcoventura9451
    @marcoventura9451 10 місяців тому

    Great!

  • @أحمدالدسوقي-ت9س

    Come on man, I didn't know that you're so cool

  • @varunv2584
    @varunv2584 3 роки тому

    What level of Maths is this? Undergrad?

  • @george4746
    @george4746 4 роки тому +1

    Awesome :)

  • @supertheb3st_
    @supertheb3st_ 3 роки тому

    I'd pass precal if this was my lecturer

  • @OPP534
    @OPP534 3 роки тому

    @9:05 I'm the guy on yt that's currently in a discrete math class lol

  • @DANGEN-KENYA
    @DANGEN-KENYA 4 роки тому +1

    The vibe is killing men,,,,I wish lecs wd be like this

  • @allenmutiso4235
    @allenmutiso4235 4 місяці тому +1

    I don"t know why but the instructor strikes me as Jeff Bezos with hair

  • @sgtcojonez
    @sgtcojonez 2 роки тому +2

    Are you teaching mathematics in the janitor's closet?

  • @pinklady7184
    @pinklady7184 3 роки тому

    Vocabulary lesson today.
    Injective: one-to-one
    Surjective: onto
    How come you are using a SMALL board, while you are teaching maths to a classroom? You must be in a small room with a small board.

  • @bruceslasher6374
    @bruceslasher6374 3 роки тому +1

    What a BOSS

  • @SohailKhan-le5rj
    @SohailKhan-le5rj 5 років тому +1

    Woww

  • @kklol07
    @kklol07 2 роки тому +1

    damn i love this

  • @benjaminandersson2572
    @benjaminandersson2572 4 роки тому

    0.:28 XD I laughed out loud here

  • @roberthuber2770
    @roberthuber2770 2 роки тому +1

    Please teach all my classes math sorcerer

  • @thetamilhomie
    @thetamilhomie Місяць тому

    legend

  • @aymen2698
    @aymen2698 3 роки тому

    every person thinks about dropping the course watch the sorcerer

  • @GahithNahdi
    @GahithNahdi Рік тому

    lucky students

  • @bandamkaromi
    @bandamkaromi 5 років тому +2

    Discrete mathematics..

  • @matthewcnorris
    @matthewcnorris 5 років тому +2

    :-)

  • @pyrogoyle
    @pyrogoyle 7 місяців тому

    Is Kyle the teacher's pet?

  • @yaw4283
    @yaw4283 Місяць тому

    Are you related to Jeff Bezos? 😁

  • @Aspiringactor02
    @Aspiringactor02 5 років тому +1

    another indian guy

  • @energy-tunes
    @energy-tunes 2 роки тому +1

    table could be smaller mate

  • @willberry6434
    @willberry6434 2 роки тому +1

    Jeff Bezos loves math huh