  We present results of a new deep 1.1 mm survey using Bolocam, a
millimeter-wavelength bolometer array camera designed for mapping large fields
at fast scan rates, without chopping. A map, galaxy candidate list, and derived
number counts are presented. This survey encompasses 324 arcmin^2 to an rms
noise level (filtered for point sources) of 1.4 mJy/beam and includes the
entire regions surveyed by the published 8 mJy 850 micron JCMT SCUBA and 1.2 mm
IRAM MAMBO surveys. We reduced the data using a custom software pipeline to
remove correlated sky and instrument noise via a principal component analysis.
Extensive simulations and jackknife tests were performed to confirm the
robustness of our source candidates and estimate the effects of false
detections, bias, and completeness. In total, 17 source candidates were
detected at a significance > 3.0 sigma, with six expected false detections.
Nine candidates are new detections, while eight candidates have coincident
SCUBA 850 micron and/or MAMBO 1.2 mm detections. From our observed number
counts, we estimate the underlying differential number count distribution of
submillimeter galaxies and find it to be in general agreement with previous
surveys. Modeling the spectral energy distributions of these submillimeter
galaxies after observations of dusty nearby galaxies suggests extreme
luminosities of L = 1.0-1.6 x 10^13 L_solar and, if powered by star formation,
star formation rates of 500-800 M_solar/yr.
