  We present the results of a spectroscopic survey with the Keck I telescope of
more than 280 star-forming galaxies and AGN at redshifts 1.4<z<3.0 in the
GOODS-N field. Candidates are selected by their UGR colors using the ``BM/BX''
criteria to target redshift 1.4<z<2.5 galaxies and the LBG criteria to target
redshift z~3 galaxies; combined these samples account for ~25-30% of the R and
K-band counts to R=25.5 and K(AB)=24.4, respectively. The sample of 212 BM/BX
galaxies and 74 LBGs is presently the largest spectroscopic sample of galaxies
at z>1.4 in GOODS-N. Extensive multi-wavelength data allow us to investigate
the stellar populations, stellar masses, bolometric luminosities (L_bol), and
extinction of z~2 galaxies. Deep Chandra and Spitzer data indicate that the
sample includes galaxies with a wide range in L_bol, from 10^10 L_sun to >10^12
L_sun, and covering 4 orders of magnitude in dust obscuration (L_bol/L_UV). The
sample includes galaxies with a large dynamic range in evolutionary state, from
very young galaxies (ages <50 Myr) with small stellar masses (M* ~ 10^9 M_sun)
to evolved galaxies (ages >2 Gyr) with stellar masses comparable to the most
massive galaxies at these redshifts (M* > 10^11 M_sun). Spitzer data indicate
that the optical sample includes some fraction of the obscured AGN population
at high redshifts: at least 3 of 11 AGN in the z>1.4 sample are undetected in
the deep X-ray data but exhibit power-law SEDs longward of ~2 micron
(rest-frame) indicative of obscured AGN. The results of our survey indicate
that rest-frame UV selection and spectroscopy presently constitute the most
time-wise efficient method of culling large samples of high redshift galaxies
with a wide range in intrinsic properties, and the data presented here will add
significantly to the multi-wavelength legacy of the GOODS survey. [Abridged]
