  A new method of solving the Einstein-Friedmann dynamical equations of a
spatially homogeneous and isotropic universe is presented. The method is
applicable when the equation of state of the material content assumes the form
P=(g -1) rho, g = constant. The solution for the expansion factor is commonly
given only for g = 0, 1 and 4/3 when the curvature index K is 1 or -1. The
proposed procedure is valid for general g and K and it allows for ease of
derivation of the solutions. This alternative method is useful pedagogically to
introduce basic cosmology.
