  We undertake a comparison of observed Algol-type binaries with a library of
computed Case A binary evolution tracks. The library consists of 5500 binary
tracks with various values of initial primary mass M_{10}, mass ratio q_0, and
period P_0, designed to sample the phase-space of Case A binaries in the range
-0.10 < log M_{10} < 1.7. Each binary is evolved using a standard code with the
assumption that both total mass and orbital angular momentum are conserved.
This code follows the evolution of both stars until the point where contact or
reverse mass transfer occurs. The resulting binary tracks show a rich variety
of behavior which we sort into several subclasses of Case A and Case B. We
present the results of this classification, the final mass ratio and the
fraction of time spent in Roche Lobe overflow for each binary system. The
conservative assumption under which we created this library is expected to hold
for a broad range of binaries, where both components have spectra in the range
G0 to B1 and luminosity class III - V. We gather a list of relatively
well-determined observed hot Algol-type binaries meeting this criterion, as
well as a list of cooler Algol-type binaries where we expect significant
dynamo-driven mass loss and angular momentum loss. We fit each observed binary
to our library of tracks using a chi^2-minimizing procedure. We find that the
hot Algols display overall acceptable chi^2, confirming the conservative
assumption, while the cool Algols show much less acceptable chi^2 suggesting
the need for more free parameters, such as mass and angular momentum loss.
