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  • Calculus 3
      Plane
      A line in E^3 is not uniquely determined by a normal vector
      Plane and normal vectors
      Cross-section and level curves
      Cross-sections
      Intersection of surfaces
      Intersection of two paraboloids
      Cylindrical surface
      Limit which does not exist
      Partial derivatives
      Directional derivative
      Linear approximation and tangent plane
      The second derivative test
      Absolute min and max
      Riemann sum in three dimensional space
      A double integral over a rectangle
      Integration on a y-simple region
      Domain of integration in three dimensional space
      Spherical coordinates
      Parametrized plane curve
      Parametrized surface
      The tangent vector to a space curve
      Another parametrization of the helix
      Tangent vectors to a parametrized surface
      Tangent plane to a surface of revolution
      A 2-dimensional parallelepiped in the 3-dimensional space
      A parallelepiped in the three dimensional space
      example_1_5
      example_3_1
      example_3_2
      example_3_3
      example_4_1
      example_4_2
      example_4_3
      Gradient and level curves
      Gradient and level surfaces
      2d vector field and two line integrals
      3d vector field and a line integral
      Max/Min with a constraint
      Line integrals over scalar fields
      Cross-product
      Mobius band
      Orientable closed surface
      Stokes

Calculus 3

Author:
Daniel Vallieres
Topic:
Calculus

  • Plane

  • A line in E^3 is not uniquely determined by a normal vector

  • Plane and normal vectors

  • Cross-section and level curves

  • Cross-sections

  • Intersection of surfaces

  • Intersection of two paraboloids

  • Cylindrical surface

  • Limit which does not exist

  • Partial derivatives

  • Directional derivative

  • Linear approximation and tangent plane

  • The second derivative test

  • Absolute min and max

  • Riemann sum in three dimensional space

  • A double integral over a rectangle

  • Integration on a y-simple region

  • Domain of integration in three dimensional space

  • Spherical coordinates

  • Parametrized plane curve

  • Parametrized surface

  • The tangent vector to a space curve

  • Another parametrization of the helix

  • Tangent vectors to a parametrized surface

  • Tangent plane to a surface of revolution

  • A 2-dimensional parallelepiped in the 3-dimensional space

  • A parallelepiped in the three dimensional space

  • example_1_5

  • example_3_1

  • example_3_2

  • example_3_3

  • example_4_1

  • example_4_2

  • example_4_3

  • Gradient and level curves

  • Gradient and level surfaces

  • 2d vector field and two line integrals

  • 3d vector field and a line integral

  • Max/Min with a constraint

  • Line integrals over scalar fields

  • Cross-product

  • Mobius band

  • Orientable closed surface

  • Stokes

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Plane

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