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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

Next
Plane

Related Topics

  • Differential Calculus
  • Differential Equation
  • Functions
  • Integral Calculus
  • Limits

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