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| - | - Maple is used to compute Legendre Coefficients | + | - This computer visualization activity is designed to help upper division undergraduate students visualize the approximation of functions with Legendre polynomials. |
| - | - Students practice approximating a function by adding orthogonal functions | + | - Students use a Maple Worksheet or a Mathematica Notebook to compute Legendre coefficients, practice approximating a function by adding orthogonal functions, and inspect the region over which the Legendre functions are orthogonal. |
| - | - Students can add many Legendre functions together and inspect the goodness of fit | + | - The entire class wrap-up discussion relates the Legendre polynomial approach in approximating functions to other approaches covered in previous courses (i.e. using Fourier series or power series). |
| - | - Students can inspect the region over which the Legendre functions are orthogonal | + | |
