Introduction to parametrizing a surface with two parameters | Multivariable Calculus | Khan Academy

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  • Опубликовано: 3 дек 2024

Комментарии • 74

  • @Shamap37
    @Shamap37 8 месяцев назад +6

    13 years, still appreciating the hard work Sal puts in his videos, and especially his drawing skills

  • @abhiaerospace
    @abhiaerospace 10 лет назад +34

    finally... the world has a math teacher.

  • @jrdnwilkin
    @jrdnwilkin 11 лет назад +36

    Thanks for helping with my last minute finals studying. Also I believe it should be (3pi/2) on both the S and T axis at about 9:40 rather than (3pi/4)

  • @ZzSlumberzZ
    @ZzSlumberzZ 11 месяцев назад +1

    i'd like to stop for a moment and appreciate how good the hand drawn illustrations are.

  • @khanacademy
    @khanacademy  14 лет назад +17

    @Frinniz you're right. Sorry about that.

    • @ゾカリクゾ
      @ゾカリクゾ 6 лет назад +3

      how did the response comment get down here? Let's help it :=D

    • @benjamin.burton
      @benjamin.burton 6 лет назад +8

      This was posted before comments where nested. There was no "REPLY" button back then.

  • @gardeniabeauty16
    @gardeniabeauty16 11 лет назад +4

    You're really a great professor. Sometimes the videos are long, but every time i finish one I always understand the concept so much better! (I'm a conceptual person, I have to learn the concept before doing the math. You are GREAT at explaining concepts.) :]

  • @ngalawena
    @ngalawena 10 лет назад +123

    I think it should be 3pi/2, not 3pi/4 on your graph. :D

    • @AmeerulIslam
      @AmeerulIslam 7 лет назад +7

      yeah.. that's why I just moved to the comment section to see what others think..

    • @inox1ck
      @inox1ck 6 лет назад +1

      I didn't notice. It was at 3 quarters so 3/4*2π=3π/2, he forgot that 2.

    • @oneinabillion654
      @oneinabillion654 4 года назад

      Yea that's right

    • @shuyuanwang1197
      @shuyuanwang1197 3 года назад

      exactly!

  • @julijangrajfoner1730
    @julijangrajfoner1730 Год назад

    To visualise easier, check out this video at 5:34

  • @comprehensiveboy
    @comprehensiveboy 9 лет назад +9

    Well, that was neat as heck.

  • @sumitgupta6905
    @sumitgupta6905 4 года назад +1

    This one reminded me of Grant's (3 blue1brown) topology video in which he maps pairs of ordered points on a loop onto a surface and then onto a torus. Loving this course.

  • @xMeshuggahx
    @xMeshuggahx 14 лет назад +1

    I found this video very interesting but I can't find the sequel to it.
    Has it just not been uploaded yet?
    Thank you

  • @vinaykumar-dp8ej
    @vinaykumar-dp8ej 8 лет назад +2

    thank you sir for visulazing the graph !!! and for easy explnation

  • @Clammychow
    @Clammychow 2 года назад +1

    Bro you are actually a god thank you hope you are doing well 12 years later 💀

  • @droher1344
    @droher1344 3 года назад

    thats the best looking hand drawn doughnut i've ever seen

  • @abinashmandal6202
    @abinashmandal6202 6 лет назад +1

    please make videos on differential geometry like fundamental forms of surface

  • @filomenamendes5349
    @filomenamendes5349 2 года назад

    I can't find words for how thankful I am. 🙏🙏

  • @arneoosterlinck7590
    @arneoosterlinck7590 7 лет назад +1

    Thanks for the great visualisation!

  • @prub4146
    @prub4146 3 года назад +1

    Where can I find the full playlist for the old version?

  • @משהלוי-ה4ר
    @משהלוי-ה4ר 6 лет назад

    thank you very much!

  • @drhf1214
    @drhf1214 8 лет назад

    I understand it more! thank you!

  • @eminentjonfrost
    @eminentjonfrost 11 лет назад +2

    I saw doushnut before doughnut xD
    but thank you Khan

  • @EntwinedGraces
    @EntwinedGraces 12 лет назад +5

    mathematical recipe for making doughnuts :D

  • @Waranle
    @Waranle 14 лет назад

    Thank you Sal

  • @BicycleFunk
    @BicycleFunk 7 лет назад

    Starting to comprehend. Thank you.

  • @zuwir
    @zuwir 11 лет назад +2

    Excelent video. Excelent class.

  • @TheBlo6
    @TheBlo6 11 лет назад

    Great video. Thank you!

  • @patty5800
    @patty5800 12 лет назад

    I always thought that it just meant it continues on to infinity, like when we first learned about lines you put an arrow on both ends

  • @AjayPatel-te4kb
    @AjayPatel-te4kb 5 лет назад

    Amazing sir

  • @pljehyun
    @pljehyun 13 лет назад

    yay, i love yeti doughnuts! thanks sal!

  • @rrravi203
    @rrravi203 9 лет назад

    nice explanation sir

  • @emilianotca
    @emilianotca 7 лет назад +1

    Great explanation, but it is 3*pi/2, not 3*pi/4 :)

  • @dashiellv
    @dashiellv 13 лет назад

    Why put extra arrows on the axes in opposite directions? Doesn't an arrow mean that there is an increase in that direction?

  • @drover7476
    @drover7476 4 месяца назад

    Cool video

  • @jeffgalef121
    @jeffgalef121 7 лет назад +1

    What's the difference between a parameter and a variable?

    • @andrewvictor1489
      @andrewvictor1489 2 года назад

      I think the same , the three variables can specify any point in a space but two variable can specify any surface in a space and 1 variable can specify any curve in a space

  • @johngonsalves5268
    @johngonsalves5268 9 лет назад +10

    Surely you are joking Mr. Khan!
    270 degrees = 3 pi/2 in leu of stated 3 pi/4
    Thanks for all the great insights. I'm very grateful for your help on my budget :0)

    • @rizvanahmedrafsan
      @rizvanahmedrafsan 7 лет назад +3

      people make mistakes, man :)

    • @SteamPunkLV
      @SteamPunkLV 6 лет назад +2

      I'm 3 years late, but don't use big words if you don't know how to use them :p

  • @dhimanroy1671
    @dhimanroy1671 8 лет назад

    Would you please tell me that in which university you take classe and give this illustrious lectures?

  • @Frinniz
    @Frinniz 14 лет назад +1

    I just want to point out that you say 3pi/4 a few times in this video, when you mean 3pi/2. Otherwise, you're doing a great job.

  • @reik2006
    @reik2006 14 лет назад

    really good explained sal ;)

  • @Sarah-zi3bw
    @Sarah-zi3bw 10 лет назад +2

    Samuel Khan, you make a mistake, it should be labeled 3pi/2 , not 3pi/4 on the axis at 9 minutes and 40 seconds into the video.

  • @monjuls
    @monjuls 6 лет назад

    also the areas shaded are not matching with top view figure.

  • @MisterBinx
    @MisterBinx 9 лет назад +1

    Yeah I caught taht 3pi/4. I bet he was think of 3/4 of one revolution. Good to know even this guy makes mistakes.

    • @ゾカリクゾ
      @ゾカリクゾ 6 лет назад

      bad to know... we are less perfect than we want to :(

  • @_HowHardCanItBe_
    @_HowHardCanItBe_ 11 лет назад +1

    to bad patrick didnt make a video about this...

  • @nipunhi
    @nipunhi 9 лет назад

    Is the angle s, the angle between the x-z plane or the x-y plane?

    • @dogeteam2235
      @dogeteam2235 2 года назад

      this is very late but s is the angle between the radius line (in the video denoted a) and the x-y plane

  • @rodrigo_t9
    @rodrigo_t9 7 лет назад

    Why isnt b considered also a parameter?

  • @Daedrex
    @Daedrex 3 года назад +1

    You lost me at green donut

  • @bosung90
    @bosung90 11 лет назад

    at 18:10 you are shading the wrong part!

  • @obogz
    @obogz 14 лет назад +1

    I like pie 8-}

  • @mitsosgamatos5598
    @mitsosgamatos5598 9 лет назад +1

    Khan I love you for your lessons they are awesome! But please, please, PLEASE fix the 3pi over 4. It's 3pi over 2 and I've seen it in another video too and it pisses me off, I don't know why, but it does! FIX IT!

  • @hafizmasum9600
    @hafizmasum9600 6 лет назад

    Best

  • @-InsanelySick-
    @-InsanelySick- 12 лет назад

    you say zy axis all the time, dont you mean the zy plane?

  • @MisterTutor2010
    @MisterTutor2010 11 лет назад +2

    Homer Simpson: mmmm Torus :)

  • @tks9367
    @tks9367 6 лет назад

    It really bothered me that he didn't close the left-hand side of his donut all the way....

  • @devin9544
    @devin9544 2 года назад

    Is it not 3pi/2 and 3pi/4? That was annoying me the whole time.

  • @BubbaOrtiz3
    @BubbaOrtiz3 12 лет назад

    What the he11 is a doughnut?

  • @torstein99
    @torstein99 11 лет назад

    you know it as "donut"

  • @caelawnn
    @caelawnn 7 лет назад

    doushnut

  • @queenstrategy904
    @queenstrategy904 4 года назад

    I can learn anything: including how to fail this class

  • @chempoint5854
    @chempoint5854 Год назад +1

    :D

  • @chempoint5854
    @chempoint5854 Год назад

    :x

  • @moomoorawrrawr
    @moomoorawrrawr 13 лет назад

    may i borrow your brain?