Recently we presented a simple method for determining the correlated uncert
ainties of the light element abundances expected from big bang nucleosynthe
sis, which avoids the need for lengthy Monte Carlo simulations. We now exte
nd this approach to consider departures from the standard model, in particu
lar to constrain any new light degrees of freedom present in the thermal pl
asma during nucleosynthesis. Since the observational situation regarding th
e inferred primordial abundances has not yet stabilized, we present illustr
ative bounds on the equivalent number of neutrino species N-nu for various
combinations of individual abundance determinations. Our 95% C.L. bounds on
N-nu range between 2 and 4, and can easily be reevaluated using the techni
que provided when the abundances are known more accurately. [S0556-2821(99)
04412-4].