Extended Green's Theorem | MIT 18.02SC Multivariable Calculus, Fall 2010

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  • Опубликовано: 12 сен 2024
  • Extended Green's Theorem
    Instructor: Christine Breiner
    View the complete course: ocw.mit.edu/18-...
    License: Creative Commons BY-NC-SA
    More information at ocw.mit.edu/terms
    More courses at ocw.mit.edu

Комментарии • 13

  • @VincentDavis1
    @VincentDavis1 4 года назад +2

    Very interesting, informative, cohesive, and skilled lecture. You've proven to me that I never should have studied at UMKC!! I should have exercised extreme patience and search for an institution that is truthful about the atmosphere, environment, and teaching capacity of the institution in question as well as the manner in which students are treated.

  • @grantbell8143
    @grantbell8143 4 года назад +2

    For those confused, try substituting sqrt(x^2+y^2) in for r

  • @user-mrking3375
    @user-mrking3375 2 года назад

    Im an universeity student form Taiwan, this this teacher is a legend. Even I can't speak English well, I still completely understand what she's saying.

  • @xsli2876
    @xsli2876 Год назад

    r^n, what is r? I don't get My and Nx (=nr^(n-2)xy) on 2:07

  • @sschw006
    @sschw006 12 лет назад

    I'm sure I'll have to read the book, but the question is when finding the potential functions, how is the point determine that we will end on. Does it make a difference how big x is,(delta x ), or how big delta y is?

  • @replicaacliper
    @replicaacliper 4 года назад

    What if, when we're finding our potential function, our curve passes through the origin?

  • @Lightfalls91
    @Lightfalls91 12 лет назад

    How did she get the xy when showing it was conservative when M(y)=nr^(n-2)xy=N(x)?

    • @loulaatsch5932
      @loulaatsch5932 6 лет назад +1

      you need to let r=sqrt(x^2+y^2) = (x^2+y^2)^(1/2) so r^n= (x^2+y^2)^(n/2) and differentiate that w.r.t. x or y

  • @bigbawsdogg
    @bigbawsdogg 12 лет назад +2

    shouldn't c2 go clockwise

    • @vortex5h0ck28
      @vortex5h0ck28 Год назад

      11 years late but iirc the consequence of not going clockwise is that you get the same answer * -1. since 0*-1 =0 no issues.

  • @writedan
    @writedan 13 лет назад

    first