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

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  • เผยแพร่เมื่อ 18 ธ.ค. 2024

ความคิดเห็น •

  • @abdallahkiswani4697
    @abdallahkiswani4697 5 ปีที่แล้ว +46

    Min. 6:50 is hilarious 🤣

    • @mrboyban
      @mrboyban 4 ปีที่แล้ว +2

      the teacher's revenge😂

    • @maths00037
      @maths00037 2 ปีที่แล้ว +2

      I loved 0:27

  • @wakaboomnick
    @wakaboomnick 2 ปีที่แล้ว +22

    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.

  • @JorgeOrtega0723
    @JorgeOrtega0723 3 ปีที่แล้ว +71

    "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 ปีที่แล้ว +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 ปีที่แล้ว +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 😁

  • @danieljohnson6898
    @danieljohnson6898 3 ปีที่แล้ว +12

    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 ปีที่แล้ว +9

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

  • @47alec
    @47alec 2 หลายเดือนก่อน

    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.

  • @Cory_
    @Cory_ 3 ปีที่แล้ว +7

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

  • @grothendieckriemann5893
    @grothendieckriemann5893 4 ปีที่แล้ว +41

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

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +10

      That was my office actually lol, just hanging out

    • @BATMAN10N
      @BATMAN10N 4 ปีที่แล้ว +2

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

    • @pinklady7184
      @pinklady7184 3 ปีที่แล้ว +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 ปีที่แล้ว

      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. th-cam.com/video/4Yf2rnYeO9Y/w-d-xo.html

  • @ripperduck
    @ripperduck 2 ปีที่แล้ว +3

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

  • @Charles_Reid
    @Charles_Reid 3 ปีที่แล้ว +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

    • @anglaismoyen
      @anglaismoyen 11 หลายเดือนก่อน

      Naps are important though

  • @skyvsjp5063
    @skyvsjp5063 4 ปีที่แล้ว +17

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

  • @horksurf6168
    @horksurf6168 4 ปีที่แล้ว +63

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

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +8

      haha wow this video, forgot about this one

    • @pinklady7184
      @pinklady7184 3 ปีที่แล้ว +1

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

    • @normanhenderson7300
      @normanhenderson7300 3 ปีที่แล้ว +3

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

    • @normanhenderson7300
      @normanhenderson7300 3 ปีที่แล้ว

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

    • @normanhenderson7300
      @normanhenderson7300 3 ปีที่แล้ว

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

  • @1willFALL
    @1willFALL 5 ปีที่แล้ว +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 ปีที่แล้ว

      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.

  • @M4Inchan
    @M4Inchan 3 ปีที่แล้ว +14

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

  • @MrRadius03
    @MrRadius03 หลายเดือนก่อน +1

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

  • @ushaidpstirupati6343
    @ushaidpstirupati6343 3 ปีที่แล้ว +1

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

  • @victoria1489
    @victoria1489 10 หลายเดือนก่อน

    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 💗💗

  • @thabangkhoetha2038
    @thabangkhoetha2038 ปีที่แล้ว +1

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

  • @tmann986
    @tmann986 9 หลายเดือนก่อน

    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!

  • @alissiyaify
    @alissiyaify ปีที่แล้ว +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?

  • @simplyjill8309
    @simplyjill8309 3 ปีที่แล้ว +2

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

  • @ThatKGKid
    @ThatKGKid 4 ปีที่แล้ว +3

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

  • @jacquelinebinya7955
    @jacquelinebinya7955 2 ปีที่แล้ว +1

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

  • @yogitajindal3149
    @yogitajindal3149 ปีที่แล้ว

    Easily memorable and great explanation 🙏🏻

  • @maemcg
    @maemcg 2 ปีที่แล้ว +1

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

  • @baconlover1158
    @baconlover1158 5 หลายเดือนก่อน +1

    u just made my day better :)

  • @kklol07
    @kklol07 2 ปีที่แล้ว +1

    i love the aesthetics of the class

  • @tellusapartments3398
    @tellusapartments3398 ปีที่แล้ว +1

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

  • @andrewesquibel9614
    @andrewesquibel9614 2 ปีที่แล้ว +7

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

  • @gracenasnas9510
    @gracenasnas9510 5 ปีที่แล้ว +4

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

  • @brendanmccann5695
    @brendanmccann5695 3 ปีที่แล้ว

    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 ปีที่แล้ว

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

    • @TheMathSorcerer
      @TheMathSorcerer  3 ปีที่แล้ว

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

  • @Parmesanz
    @Parmesanz 4 ปีที่แล้ว +4

    I love the enthusiasm

  • @Team-1-Solo
    @Team-1-Solo หลายเดือนก่อน +1

    I wish you were my math instructor.

  • @Lydi-ia
    @Lydi-ia 11 หลายเดือนก่อน +1

    I wish this dude was my intro to analysis teach 😢

  • @pibbxtra3969
    @pibbxtra3969 9 หลายเดือนก่อน

    This was insanely helpful

  • @RaeTheActuary
    @RaeTheActuary 2 หลายเดือนก่อน

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

  • @s2260
    @s2260 2 ปีที่แล้ว +1

    this guy is gold

  • @horksurf6168
    @horksurf6168 4 ปีที่แล้ว +5

    You made this so fun

    • @TheMathSorcerer
      @TheMathSorcerer  4 ปีที่แล้ว +1

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

  • @jackingham3069
    @jackingham3069 3 ปีที่แล้ว

    Great lecture! Really useful, thanks. 😅

  • @Nillipilli
    @Nillipilli 2 ปีที่แล้ว

    Really nice to watch 👍🏻

  • @TheAAZSD
    @TheAAZSD 5 ปีที่แล้ว +7

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

  • @isaac7979
    @isaac7979 3 ปีที่แล้ว +2

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

  • @kklol07
    @kklol07 2 ปีที่แล้ว +3

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

  • @BATMAN10N
    @BATMAN10N 4 ปีที่แล้ว +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 ปีที่แล้ว

    0:27 Dude, that thing jumpscared me 😂

  • @george4746
    @george4746 3 ปีที่แล้ว +1

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

  • @hemnkhdr5658
    @hemnkhdr5658 2 ปีที่แล้ว

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

  • @averagecandy2581
    @averagecandy2581 ปีที่แล้ว

    so co-domain is always equal to Real numbers?

  • @mortadha2318
    @mortadha2318 3 ปีที่แล้ว

    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

  • @jovanagmijovic4953
    @jovanagmijovic4953 4 ปีที่แล้ว +5

    i wanna be the kyle of the class

  • @chriswilliams5291
    @chriswilliams5291 ปีที่แล้ว +2

    What math class is this for?

    • @jaclynhilton616
      @jaclynhilton616 7 หลายเดือนก่อน +1

      Intro to proofs course

  • @carolineheater6004
    @carolineheater6004 3 ปีที่แล้ว +1

    he is so fun and adorable

  • @Jerlew2
    @Jerlew2 2 หลายเดือนก่อน

    Gotta love the hor line test 😏

  • @أحمدالدسوقي-ت9س
    @أحمدالدسوقي-ت9س ปีที่แล้ว

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

  • @supertheb3st_
    @supertheb3st_ 3 ปีที่แล้ว

    I'd pass precal if this was my lecturer

  • @bruceslasher6374
    @bruceslasher6374 3 ปีที่แล้ว +1

    Dude from the series Chuck is a math Teacher

  • @unclegardener
    @unclegardener 2 ปีที่แล้ว

    0:27

  • @MsGayatri1986
    @MsGayatri1986 3 ปีที่แล้ว +4

    I wish I was in his class

  • @inioby3904
    @inioby3904 3 ปีที่แล้ว +1

    thank youu 🙏🏽

  • @george4746
    @george4746 3 ปีที่แล้ว +1

    Awesome :)

  • @OPP534
    @OPP534 3 ปีที่แล้ว

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

  • @allenmutiso4235
    @allenmutiso4235 3 หลายเดือนก่อน +1

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

  • @benjaminandersson2572
    @benjaminandersson2572 4 ปีที่แล้ว

    0.:28 XD I laughed out loud here

  • @marcoventura9451
    @marcoventura9451 9 หลายเดือนก่อน

    Great!

  • @kklol07
    @kklol07 2 ปีที่แล้ว +1

    damn i love this

  • @DANGEN-KENYA
    @DANGEN-KENYA 3 ปีที่แล้ว +1

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

  • @bruceslasher6374
    @bruceslasher6374 3 ปีที่แล้ว +1

    What a BOSS

  • @pinklady7184
    @pinklady7184 3 ปีที่แล้ว

    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.

  • @michaelaladejobi
    @michaelaladejobi ปีที่แล้ว

    ♥️♥️♥️

  • @roberthuber2770
    @roberthuber2770 2 ปีที่แล้ว +1

    Please teach all my classes math sorcerer

  • @thetamilhomie
    @thetamilhomie 7 วันที่ผ่านมา

    legend

  • @sgtcojonez
    @sgtcojonez 2 ปีที่แล้ว +2

    Are you teaching mathematics in the janitor's closet?

  • @varunv2584
    @varunv2584 2 ปีที่แล้ว

    What level of Maths is this? Undergrad?

  • @GahithNahdi
    @GahithNahdi ปีที่แล้ว

    lucky students

  • @aymen2698
    @aymen2698 3 ปีที่แล้ว

    every person thinks about dropping the course watch the sorcerer

  • @bandamkaromi
    @bandamkaromi 5 ปีที่แล้ว +2

    Discrete mathematics..

  • @SohailKhan-le5rj
    @SohailKhan-le5rj 5 ปีที่แล้ว +1

    Woww

  • @matthewcnorris
    @matthewcnorris 5 ปีที่แล้ว +2

    :-)

  • @yaw4283
    @yaw4283 16 วันที่ผ่านมา

    Are you related to Jeff Bezos? 😁

  • @Aspiringactor02
    @Aspiringactor02 4 ปีที่แล้ว +1

    another indian guy

  • @pyrogoyle
    @pyrogoyle 6 หลายเดือนก่อน

    Is Kyle the teacher's pet?

  • @energy-tunes
    @energy-tunes ปีที่แล้ว +1

    table could be smaller mate

  • @willberry6434
    @willberry6434 2 ปีที่แล้ว +1

    Jeff Bezos loves math huh