1. This small group activity is designed to help students find differential area and volume elements in cylindrical and spherical coordinates.
  2. Students use the cross product definition for differential area and volume to find expressions for various surface and volume elements using rectangular, cylindrical, and spherical coordinates (e.g. area element of the side of a cylinder).
  3. The compare and contrast discussion highlights different groups’ geometric thinking and strategies to determine surface and volume elements in curvilinear coordinates.

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