This computer visualization activity is designed to help upper division undergraduate students visualize the expansion of a function via Legendre polynomials.

Students use a Maple Worksheet or a Mathematica Notebook to add orthogonal Legendre functions and plot the resulting sum, allowing them to use the guess and check method to find the Legendre expansion of a function.

The entire class wrap-up discussion focuses on the importance of Legendre series and their relevance to the derivation of the Hydrogen atom.