The discussion revolves around using Maple software to solve homework problems involving Legendre polynomials and series expansion. The original poster expresses confusion about how to utilize Maple, particularly for expanding the function sin(x) in terms of Legendre polynomials Pn(x) over the interval [-1, 1]. They inquire whether the approach of using a Taylor series expansion is correct, suggesting that P0(x) is x, P1(x) is x^3/3!, and so forth. Additionally, they seek assistance with plotting the results in Maple. The responses emphasize utilizing Maple's online help files for guidance on series and plotting functions.