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Calculus

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Calculus III

Calculus III

Jul 22, 20231 min read

  • calc3
  • moc

Notes I took from Paul’s Online Math Notes in preparation for MTE 203.

3D Space

  • 3D Cartesian Coordinates
  • Vector Equations of Lines
  • Vector Equations of Planes
  • Quadric Surfaces
  • Multivariable Functions
  • Vector Functions
  • Calculus with Vector Functions
  • Tangent, Normal, and Binormal Vectors
  • Arc Length with Vector Functions
  • Curvature
  • Velocity And Acceleration
  • Cylindrical Coordinates
  • Spherical Coordinates

Partial Derivatives

  • Limits (Multivariable)
  • Partial Derivatives
  • Interpretations of Partial Derivatives
  • Higher Order Partial Derivatives
  • Multivariable Differentials
  • Multivariable Chain Rule
  • Directional Derivatives
  • Gradient Vector

Applications of Partial Derivatives

  • Tangent Planes and Linear Approximations
  • Lagrange Multipliers

Graph View

  • 3D Space
  • Partial Derivatives
  • Applications of Partial Derivatives

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