Odd versus even functions were considered, which can be expanded in terms of Fourier sine and cosine series, respectively. Odd versus even half-range expansions of functions defined on (0,a) were also considered.
An example was worked out, and the odd and even half-range expanions were then plotted in Maple.
The Convergence Theorem for Fourier Series was given, and the conditions under which it is valid were discussed.