Multivariable calculus

Categories: Calculus, Mathematics
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Course Content

Thinking about multivariable functions

  • Introduction to multivariable calculus
  • Multivariable functions
  • Visualizing scalar-valued functions
  • Representing points in 3d
  • Introduction to 3d graphs
  • Interpreting graphs with slices
  • Contour plots
  • Visualizing vector-valued functions
  • Parametric curves
  • Parametric surfaces
  • Vector fields, introduction
  • Fluid flow and vector fields
  • 3d vector fields, introduction
  • 3d vector field example
  • Transformations
  • Transformations, part 1
  • Transformations, part 2
  • Transformations, part 3

Derivatives of multivariable functions

Applications of multivariable derivatives

Integrating multivariable functions

Green’s, Stokes’, and the divergence theorems

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