  Using hard (E>10 keV) X-ray observations with NuSTAR, we are able to
differentiate between accretion states, and thus compact object types, of
neutron stars and black holes in X-ray binaries (XRBs) in M31, our nearest
Milky Way-type neighbor. Using ten moderate-depth (20-50 ks) observations of
the disk of M31 covering a total of ~0.45 deg$^{2}$, we detect 20 sources at
2$\sigma$ in the 4-25 keV band pass, 14 of which we consider to be XRB
candidates. This complements an existing deeper (100-400 ks) survey covering
~0.2 deg$^{2}$ of the bulge and the northeastern disk. We make tentative
classifications of 9 of these sources with the use of diagnostic
color-intensity and color-color diagrams, which separate sources into various
neutron star and black hole regimes, identifying 3 black holes and 6 neutron
stars. In addition, we create X-ray luminosity functions for both the full
(4-25 keV) and hard (12-25 keV) band, as well as sub-populations of the full
band based on compact object type and association with globular clusters. Our
best fit globular cluster XLF is shallower than the field XLF, and preliminary
BH and NS XLFs suggest a difference in shape based on compact object type. We
find that the cumulative disk XLFs in the full and hard band are best fit by
power laws with indices of 1.32 and 1.28 respectively. This is consistent with
models of the Milky Way XLF from Grimm et al. (2002), Voss & Ajello (2010), and
Doroshenko et al. (2014).
