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-3d vector field example _ Multivariable calculus _ Khan Academy
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      选集(175)
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      [1] -Multivariable fu...
      4.3万播放
      06:02
      -Multivariable functions _ Multivariable calculus _ Khan Academy
      [5] -Contour plots _ ...
      2510播放
      05:35
      -Contour plots _ Multivariable calculus _ Khan Academy
      [6] -Parametric curve...
      3226播放
      05:50
      -Parametric curves _ Multivariable calculus _ Khan Academy
      [7] -Parametric surfa...
      2924播放
      06:20
      -Parametric surfaces _ Multivariable calculus _ Khan Academy
      [11] -3d vector field ...
      2110播放
      待播放
      -3d vector field example _ Multivariable calculus _ Khan Academy
      [12] -Transformations,...
      1670播放
      05:16
      -Transformations, part 1 _ Multivariable calculus _ Khan Academy
      [13] -Transformations,...
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      04:38
      -Transformations, part 2 _ Multivariable calculus _ Khan Academy
      [14] -Transformations,...
      1908播放
      03:29
      -Transformations, part 3 _ Multivariable calculus _ Khan Academy
      [15] -Partial derivati...
      2443播放
      10:56
      -Partial derivatives, introduction
      [16] -Partial derivati...
      2189播放
      06:54
      -Partial derivatives and graphs
      [17] -Formal definitio...
      2166播放
      07:57
      -Formal definition of partial derivatives
      [18] -Symmetry of seco...
      2228播放
      07:02
      -Symmetry of second partial derivatives
      [19] -Gradient
      2222播放
      05:30
      -Gradient
      [20] -Gradient and gra...
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      06:10
      -Gradient and graphs
      [21] -Directional deri...
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      07:14
      -Directional derivative
      [22] -Directional deri...
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      06:38
      -Directional derivative, formal definition
      [23] -Directional deri...
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      08:49
      -Directional derivatives and slope
      [24] -Why the gradient...
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      10:32
      -Why the gradient is the direction of steepest ascent
      [25] -Gradient and con...
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      06:17
      -Gradient and contour maps
      [30] -Multivariable ch...
      1973播放
      09:32
      -Multivariable chain rule
      [31] -Multivariable ch...
      1179播放
      07:46
      -Multivariable chain rule intuition
      [32] -Vector form of t...
      1977播放
      05:25
      -Vector form of the multivariable chain rule
      [33] -Multivariable ch...
      1386播放
      06:41
      -Multivariable chain rule and directional derivatives
      [34] -More formal trea...
      1260播放
      11:55
      -More formal treatment of multivariable chain rule
      [35] -Curvature intuit...
      1667播放
      04:11
      -Curvature intuition
      [36] -Curvature formul...
      865播放
      06:05
      -Curvature formula, part 1
      [37] -Curvature formul...
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      07:06
      -Curvature formula, part 2
      [38] -Curvature formul...
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      08:37
      -Curvature formula, part 3
      [39] -Curvature formul...
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      08:34
      -Curvature formula, part 4
      [40] -Curvature formul...
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      07:46
      -Curvature formula, part 5
      [41] -Curvature of a h...
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      06:27
      -Curvature of a helix, part 1
      [42] -Curvature of a h...
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      07:19
      -Curvature of a helix, part 2
      [43] -Curvature of a c...
      1998播放
      04:42
      -Curvature of a cycloid
      [44] -Computing the pa...
      1985播放
      02:17
      -Computing the partial derivative of a vector-valued function
      [45] -Partial derivati...
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      09:29
      -Partial derivative of a parametric surface, part 1
      [46] -Partial derivati...
      1393播放
      07:02
      -Partial derivative of a parametric surface, part 2
      [47] -Partial derivati...
      1756播放
      08:34
      -Partial derivatives of vector fields
      [48] -Partial derivati...
      1372播放
      07:31
      -Partial derivatives of vector fields, component by component
      [49] -Divergence intui...
      1915播放
      06:20
      -Divergence intuition, part 1
      [50] -Divergence intui...
      1663播放
      05:28
      -Divergence intuition, part 2
      [51] -Divergence formu...
      1303播放
      03:38
      -Divergence formula, part 1
      [52] -Divergence formu...
      1575播放
      06:04
      -Divergence formula, part 2
      [53] -Divergence examp...
      1169播放
      04:11
      -Divergence example
      [54] -Divergence notat...
      1534播放
      04:48
      -Divergence notation
      [55] -2d curl intuitio...
      1273播放
      03:53
      -2d curl intuition
      [56] -2d curl formula
      1337播放
      05:43
      -2d curl formula
      [57] -2d curl example
      1739播放
      05:39
      -2d curl example
      [58] -2d curl nuance
      1561播放
      05:00
      -2d curl nuance
      [59] -Describing rotat...
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      06:06
      -Describing rotation in 3d with a vector
      [60] -3d curl intuitio...
      1662播放
      05:49
      -3d curl intuition, part 1
      [61] -3d curl intuitio...
      1647播放
      08:17
      -3d curl intuition, part 2
      [62] -3d curl formula,...
      1337播放
      07:40
      -3d curl formula, part 1
      [63] -3d curl formula,...
      1104播放
      06:12
      -3d curl formula, part 2
      [64] -3d curl computat...
      2118播放
      05:35
      -3d curl computation example
      [65] -Laplacian intuit...
      1573播放
      05:31
      -Laplacian intuition
      [66] -Laplacian comput...
      2115播放
      05:21
      -Laplacian computation example
      [67] -Explicit Laplaci...
      2188播放
      04:03
      -Explicit Laplacian formula
      [68] -Harmonic Functio...
      2583播放
      10:55
      -Harmonic Functions
      [69] -Jacobian prerequ...
      1559播放
      09:21
      -Jacobian prerequisite knowledge
      [70] -Local linearity ...
      1746播放
      05:23
      -Local linearity for a multivariable function
      [71] -The Jacobian mat...
      2056播放
      06:22
      -The Jacobian matrix
      [72] -Computing a Jaco...
      2216播放
      03:53
      -Computing a Jacobian matrix
      [73] -The Jacobian Det...
      2605播放
      08:53
      -The Jacobian Determinant
      [74] -What is a tangen...
      2018播放
      03:20
      -What is a tangent plane
      [75] -Controlling a pl...
      1749播放
      10:40
      -Controlling a plane in space
      [76] -Computing a tang...
      1823播放
      09:40
      -Computing a tangent plane
      [77] -Local linearizat...
      1625播放
      09:12
      -Local linearization
      [78] -What do quadrati...
      1423播放
      04:41
      -What do quadratic approximations look like
      [79] -Quadratic approx...
      1552播放
      07:09
      -Quadratic approximation formula, part 1
      [80] -Quadratic approx...
      2141播放
      09:50
      -Quadratic approximation formula, part 2
      [81] -Quadratic approx...
      1568播放
      12:09
      -Quadratic approximation example
      [82] -The Hessian matr...
      2139播放
      06:10
      -The Hessian matrix
      [83] -Expressing a qua...
      1756播放
      08:20
      -Expressing a quadratic form with a matrix
      [84] -Vector form of m...
      1397播放
      08:35
      -Vector form of multivariable quadratic approximation
      [85] -Multivariable ma...
      2076播放
      08:04
      -Multivariable maxima and minima
      [86] -Saddle points
      1132播放
      05:50
      -Saddle points
      [87] -Warm up to the s...
      1356播放
      11:36
      -Warm up to the second partial derivative test
      [88] -Second partial d...
      1939播放
      11:52
      -Second partial derivative test
      [89] -Second partial d...
      1484播放
      10:43
      -Second partial derivative test intuition
      [90] -Second partial d...
      1490播放
      06:10
      -Second partial derivative test example, part 1
      [91] -Second partial d...
      2127播放
      07:42
      -Second partial derivative test example, part 2
      [92] -Constrained opti...
      1979播放
      06:29
      -Constrained optimization introduction
      [94] -Finishing the in...
      1566播放
      06:38
      -Finishing the intro lagrange multiplier example
      [95] -Lagrange multipl...
      1666播放
      07:50
      -Lagrange multiplier example, part 1
      [96] -Lagrange multipl...
      1797播放
      06:50
      -Lagrange multiplier example, part 2
      [97] -The Lagrangian
      2049播放
      12:28
      -The Lagrangian
      [98] -Meaning of Lagra...
      2367播放
      10:07
      -Meaning of Lagrange multiplier
      [106] -Parametrization ...
      4135播放
      07:26
      -Parametrization of a reverse path _ Khan Academy
      [143] -Green's theorem ...
      1398播放
      10:31
      -Green's theorem example 1 _ Multivariable Calculus _ Khan Academy
      [144] -Green's theorem ...
      1880播放
      07:07
      -Green's theorem example 2 _ Multivariable Calculus _ Khan Academy
      [148] -Stokes' theorem ...
      1297播放
      12:12
      -Stokes' theorem intuition _ Multivariable Calculus _ Khan Academy
      [151] -Orientation and ...
      1866播放
      04:26
      -Orientation and stokes _ Multivariable Calculus _ Khan Academy
      [153] -Stokes example p...
      1360播放
      03:09
      -Stokes example part 1 _ Multivariable Calculus _ Khan Academy
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