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Section 1 Goals

  • Be familiar with the terminology and geometry of three- and higher-dimensional spaces.
  • Apply the distance formula to calculate distance between two points.
  • Recognize and work with an equation for a sphere.
  • Sketch graphs of equations and inequalities in \({\mathbb R}^2\) and \({\mathbb R}^3\text{.}\)
  • Be familiar with the polar, cylindrical, and spherical coordinate systems.
  • Sketch graphs of equations and inequalities given in polar, cylindrical, or spherical coordinates.