1. This computer visualization activity is designed to help students visualize the expansion of a function via Legendre polynomials.
  2. Students use a Maple Worksheet or a Mathematica Notebook to add orthogonal Legendre polynomials and plot the resulting sum, allowing them to understand what it means to add two functions pointwise and to use the guess and check method to find the Legendre expansion of a function.
  3. The entire class wrap-up discussion focuses on the geometric meaning of Legendre polynomial series.

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