The ENTIRE Calculus 3!

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  • Опубліковано 13 лип 2024
  • Let me help you do well in your exams!
    In this math video, I go over the entire calculus 3. This includes topics like line integrals, partial derivatives, multivariable functions, vector fields, and so on.
    00:00 Intro
    00:07 Multivariable Functions
    00:45 Contour Maps
    01:23 Partial Derivatives
    02:33 Directional Derivatives
    03:30 Double & Triple Integrals
    04:25 Change of Variables & Jacobian
    05:23 Vector Fields
    06:28 Line Integrals
    07:27 Outro
    My focus is to help people who don't necessarily like Math finally appreciate its beauty. I want them to see that Math isn't all too difficult, and once understood, Math could be really cool : - )

КОМЕНТАРІ • 60

  • @koothbrush
    @koothbrush  8 місяців тому +27

    Hope you guys enjoy the video! Now that you have an overview of Calculus 1-3, what do you think of it? 🤔

    • @pyotrbagration2438
      @pyotrbagration2438 8 місяців тому +3

      I had multivarib in C3 , ContourMaps in C2 , partial derivis in C4 (yeah we had that) , we didnt had directional dervis, double/triples was part of C2, Jacobian was C3 , vector fields C1, Line integrals C2. Then again we called in Math 1/2/3/4, this calculus name came later. Great video bro, keep it up.

  • @SlyMiku
    @SlyMiku 8 місяців тому +180

    the original trilogy

    • @koothbrush
      @koothbrush  8 місяців тому +14

      Cinematic masterpiece 😂

    • @EndG00gle
      @EndG00gle 7 днів тому +2

      Unless you’re on a quarterly system.

  • @capekraken2672
    @capekraken2672 Місяць тому +82

    I can't believe we got up to calc 3! . Will you now do a video on calc 7?

    • @drakesmith471
      @drakesmith471 Місяць тому +7

      Damn, I was gonna say “what’s the factorial calculus?”😂

    • @amoghng5303
      @amoghng5303 16 днів тому +1

      Your almost there! keep on grinding, its gonna take time to go from calc 3! or calc 6 to calc 7

    • @user-hf5ij3rx6q
      @user-hf5ij3rx6q 5 днів тому +2

      Calc 7 would probably just be advanced functional analysis or operator theory

    • @drakesmith471
      @drakesmith471 5 днів тому

      @@user-hf5ij3rx6q would love to learn that.

  • @foolwhodreams
    @foolwhodreams 8 місяців тому +3

    Exam Monday!!! Loved the video man

  • @Osvaldo1sr
    @Osvaldo1sr 28 днів тому +2

    I start 3rd semester of Applied Maths and Computer Science in August, this is useful for having an outlook. Thank you!
    Greeting from Mexico 🌮🌮

  • @dorukme
    @dorukme 5 місяців тому +6

    Bro you really did give me shivers. This series gave me exactly what i've been through in my cs degree. Really nice video thank you for making it.

  • @colindresjairusjasper3589
    @colindresjairusjasper3589 8 місяців тому +38

    Good content. As a high school student, it feels a bit overwhelming to move on to 3D so it's nice getting a heads up 👍

    • @koothbrush
      @koothbrush  8 місяців тому +7

      Glad it was helpful! Enjoy the calculus journey 😂

  • @016fog3
    @016fog3 Місяць тому +7

    I actually understood that I only know what derivative and integrals. Easier than expected! Yay

  • @gam7880
    @gam7880 8 місяців тому +4

    Nearly 2k subs 🎉

  • @brubsi9658
    @brubsi9658 9 днів тому +2

    in brazil this is calc 2

  • @andremalki25
    @andremalki25 Місяць тому

    Very nice

  • @TommyCartesian
    @TommyCartesian Місяць тому

    How do they use directional derivatives and vector fields for space travel ?

  • @kobynmalone2134
    @kobynmalone2134 5 днів тому

    I never even got to calc 3 and now you’re talking 3!?

  • @bryn1714
    @bryn1714 8 місяців тому +5

    This is so good, much better than my math teacher

  • @michelerota1897
    @michelerota1897 3 дні тому

    Maan i didn't even know calculus 6 existed!

  • @daales.
    @daales. 19 днів тому +4

    wait there’s no calculus 6

  • @malekabbr
    @malekabbr Місяць тому +2

    Instead of me just watching this video and saying oh may be it would be easy then remember I have to revise my calc 2 lessons 😔😔

  • @Goose____
    @Goose____ 8 місяців тому +5

    Bruh i just watched the calc 1 and 2 vids this morning now i get the third? I've never been so lucky

    • @koothbrush
      @koothbrush  8 місяців тому +2

      I got your back 👀

  • @antonbaydala9780
    @antonbaydala9780 8 місяців тому +8

    Is there Any chance that you make a video like this on linear algebra or differential equations?

    • @koothbrush
      @koothbrush  8 місяців тому +13

      I was actually planning to do linear algebra next!

    • @antonbaydala9780
      @antonbaydala9780 8 місяців тому +1

      @@koothbrush hell yeah, cant wait to see it!

    • @kangwa8589
      @kangwa8589 Місяць тому

      ​@@koothbrushstill waiting

  • @curtpiazza1688
    @curtpiazza1688 Місяць тому +1

    Cool! 😂

  • @phat5340
    @phat5340 Місяць тому

    This is for engiis right?

  • @theorigin8537
    @theorigin8537 4 дні тому +1

    Hi everyone, according to the end of this video, I just changed my name.
    My new name is now “absolutely nuts”

  • @Carrymejane
    @Carrymejane 5 місяців тому

    I didn't know anything but watching it until the end, because I understand nothing at least i know i am sane now

  • @readjordan2257
    @readjordan2257 24 дні тому +1

    This is all just Calculus but the second semester.

  • @Custodian123
    @Custodian123 6 місяців тому +1

    Do Calculus 4!

    • @Carrymejane
      @Carrymejane 5 місяців тому

      There is calculus 4??!?!?

    • @Game_Sometimes
      @Game_Sometimes Місяць тому +1

      How’d we get to calculus 24 😮

    • @sapwho
      @sapwho Місяць тому +1

      @@Carrymejane Real Analysis 💀

  • @Iamfafafel
    @Iamfafafel 28 днів тому

    Not bad but you didn’t talk about greens/stokes

  • @r.a.1043
    @r.a.1043 24 дні тому

    that’s calc2

  • @DCandM
    @DCandM 6 місяців тому +1

    Newton would be proud

  • @jowillll
    @jowillll Місяць тому

    Are u indonesian?

  • @RvmvVnvvctv.9k
    @RvmvVnvvctv.9k 8 місяців тому +2

    🐸🐸 frogged :D

  • @atl0520
    @atl0520 13 днів тому

    what about like greens theorem and stokes theorem and all that bs…

  • @MathStuff1234
    @MathStuff1234 29 днів тому

    I'll be that guy... f(x,y) is a 2D function, not 3D. When we assign it a variable z then sure its nice to view graphically in a 3rd dimension but if we're being technical, f(x) is 1D, f(x,y) is 2D, f(x,y,z) is 3D and so on. This is because for f(x,y) you're mapping from R2 (x,y) to R1 (z).
    This is a hard point to make clear given that you usually start calc 3 with unit vectors in 2 and 3 space so by the time you get to 2D functions that make nice surfaces your brain is thinking of them as vectors which require 3 orthogonal unit vectors.
    Otherwise, nice video. Concise, to the point, hits the big topics, well done.

  • @jesscan4563
    @jesscan4563 Місяць тому

    are you filipino ?

    • @zhess4096
      @zhess4096 28 днів тому

      he sounds Filipino yes

    • @jesscan4563
      @jesscan4563 27 днів тому +2

      @@zhess4096 thanks. i disliked the video and reported for hate speech 🥰

  • @brickyy3106
    @brickyy3106 27 днів тому

    you’re filipino i just know it

  • @potatoesalad5103
    @potatoesalad5103 2 дні тому

    ngl shit seems easy

  • @jonathangreene1585
    @jonathangreene1585 3 місяці тому +2

    isn't this calculus 4? Calculus 3 is vectors and series I thought.

    • @thephantomminish2436
      @thephantomminish2436 Місяць тому

      Series is in calculus 2. And I haven’t done calculus 3 yet, so I don’t know, but there are vectors in calculus 3 and Multivariable calculus is also calculus 3.

    • @jonathangreene1585
      @jonathangreene1585 Місяць тому +1

      @@thephantomminish2436 Just finished calculus 4. Either there are different curriculums, or it's high school university differences in the course or something. Cause calc 2 is all integration.

    • @thephantomminish2436
      @thephantomminish2436 Місяць тому

      @@jonathangreene1585 Where I’m from, calculus 1 is the limits, derivatives, and a little integration, calculus 2 is harder integration, series, parametric equations, and other things like that, and calculus 3 is multivariable calculus
      Are you from the USA though?

    • @valen0276
      @valen0276 Місяць тому

      I would guess calculus topics vary depending on location. Here we see all this in calc 3 but stuff like series is in calc 4 for some reason