Lec 30: Line integrals in space, curl, exactness... | MIT 18.02 Multivariable Calculus, Fall 2007

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  • Опубликовано: 29 окт 2024

Комментарии • 30

  • @YeaTyrone
    @YeaTyrone 15 лет назад +30

    this guy is an amazing lecturer. his videos have helped me out so much. i wish the camera man was a fraction as good as he is, though.

  • @atehortuajf
    @atehortuajf 4 года назад +51

    6 more lectures, 2 more psets, 1 more exam. We're almost there!

    • @9888565407
      @9888565407 4 года назад

      where can i get the exams? i only got the psets on ocw site

    • @atehortuajf
      @atehortuajf 4 года назад

      @@9888565407 ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/exams/ has practice exams.
      ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/3.-double-integrals-and-line-integrals-in-the-plane has more resources being designed for ocw and based on this one

  • @alexhudson502
    @alexhudson502 2 года назад +4

    Lecture 1: Dot Product
    Lecture 2: Determinants
    Lecture 3: Matrices
    Lecture 4: Square Systems
    Lecture 5: Parametric Equations
    Lecture 6: Kepler's Second Law
    Lecture 7: Exam Review (goes over practice exam 1a at 24 min 40 seconds)
    Lecture 8: Partial Derivatives
    Lecture 9: Max-Min and Least Squares
    Lecture 10: Second Derivative Test
    Lecture 11: Chain Rule
    Lecture 12: Gradient
    Lecture 13: Lagrange Multipliers
    Lecture 14: Non-Independent Variables
    Lecture 15: Partial Differential Equations
    Lecture 16: Double Integrals
    Lecture 17: Polar Coordinates
    Lecture 18: Change of Variables
    Lecture 19: Vector Fields
    Lecture 20: Path Independence
    Lecture 21: Gradient Fields
    Lecture 22: Green's Theorem
    Lecture 23: Flux
    Lecture 24: Simply Connected Regions
    Lecture 25: Triple Integrals
    Lecture 26: Spherical Coordinates
    Lecture 27: Vector Fields in 3D
    Lecture 28: Divergence Theorem
    Lecture 29: Divergence Theorem (cont.)
    Lecture 30: Line Integrals
    Lecture 31: Stokes' Theorem
    Lecture 32: Stokes' Theorem (cont.)
    Lecture 33: Maxwell's Equations
    Lecture 34: Final Review
    Lecture 35: Final Review (cont.)

  • @cctang4922
    @cctang4922 4 года назад +4

    To check the vector field is conservative, compute the cul of the vector field and see if it is zero .I think it is easier.

  • @watt_the_border_collie
    @watt_the_border_collie 2 месяца назад

    I will miss these lectures so so much

  • @afjkaf312
    @afjkaf312 13 лет назад

    @MrAnuarsh the infinitesimal length of r (so small it has no length) is the vector coordinates of the infinitesimal length of x, infinitesimal length of y, and infinitesimal length of z

  • @kaushaltimilsina7727
    @kaushaltimilsina7727 6 лет назад

    For the condition to be a vector field, that seems like the formulation that the curl of the gradient of f=0 , meaning that its direction does not change and hence is a scalar.

  • @extremewingsa
    @extremewingsa 8 лет назад

    I am currently taking Heat transfer, His explanation broaden my knowledge. 'Multivariable Prof. wasn't of much of assistance'

  • @not_amanullah
    @not_amanullah 4 месяца назад

    Thanks ❤🤍

  • @skylerpretto1221
    @skylerpretto1221 4 года назад

    The "c1+c2+c3" method is def better!

  • @Vykke
    @Vykke Год назад

    Imagine him speaking fluent english instead. He just trolled them all, all these lectures. Then goes home and laughs everytime

  • @AnuarPhysics
    @AnuarPhysics 13 лет назад

    @afjkaf312 Ok, but mathematically, how can you define that? In Differential geometry, an expression like dx maybe means a 1-form. But the "vector" (dx,dy,dz) has no sense.

  • @봄여율-u9f
    @봄여율-u9f Год назад +1

    23:57

  • @andreas_gswerve
    @andreas_gswerve 6 месяцев назад

    jesus these kids spitted out their lungs

  • @golfguy777
    @golfguy777 14 лет назад

    @hesham3540 yes

  • @yonatanable
    @yonatanable 13 лет назад

    This is guy is so good in computation than concept explanation

  • @raydredX
    @raydredX 12 лет назад

    I am very happy to why the fuck is this full of bots in space and curl. Thank you, it really helps

  • @BareClause
    @BareClause 11 лет назад +2

    my ffff do butiful

  • @ameerhamza4816
    @ameerhamza4816 5 лет назад +2

    Why is everyone coughing

    • @godzillanismo4892
      @godzillanismo4892 3 года назад +6

      Corona virus

    • @pabloarroyo1023
      @pabloarroyo1023 3 года назад

      It’s late fall or early winter in Boston, so people are starting to get colds

  • @not_amanullah
    @not_amanullah 4 месяца назад

    This is helpful ❤️🤍

  • @joshie92
    @joshie92 12 лет назад +1

    "unapropriate" LOL

  • @manoum1
    @manoum1 11 лет назад +1

    the coughing noise is freaking annoying!! but this video is awesome.