Students will apply the techniques of double and triple integration to multivariable scalar- and vector-valued functions.
Advanced Engineering Calculus
Multidimensional Integration in Engineering Systems
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Interpret the theorems of Green, Stokes, or Gauss and apply them to the study of real-world phenomena.
Apply properties of integrals to calculate and represent area, volume, or mass.
Use integrals of vectors to define and apply the gradient, divergence, or the curl.
Manipulate integrals by changing the order of integration, introducing variable substitutions, or changing to curvilinear coordinates.
Evaluate and apply line integrals that are independent of path.