We present an analysis of an 8 arcminute diameter map of the area around the galaxy cluster Abell 1835 from jiggle map observations at a wavelength of 1.1 mm using the Bolometric Camera ( Bolocam ) mounted on the Caltech Submillimeter Observatory ( CSO ) . The data is well described by a model including an extended Sunyaev-Zel ’ dovich ( SZ ) signal from the cluster gas plus emission from two bright background submm galaxies magnified by the gravitational lensing of the cluster . The best-fit values for the central Compton value for the cluster and the fluxes of the two main point sources in the field : SMM J140104+0252 , and SMM J14009+0252 are found to be y _ { 0 } = ( 4.34 \pm 0.52 \pm 0.69 ) \times 10 ^ { -4 } , 6.5 \pm { 2.0 } \pm 0.7 mJy and 11.3 \pm { 1.9 } \pm 1.1 mJy , where the first error represents the statistical measurement error and the second error represents the estimated systematic error in the result . This measurement assumes the presence of dust emission from the cluster ’ s central cD galaxy of 1.8 \pm 0.5 mJy , based on higher frequency observations of Abell 1835 . The cluster image represents one of the highest-significance SZ detections of a cluster in the positive region of the thermal SZ spectrum to date . The inferred central intensity is compared to other SZ measurements of Abell 1835 and this collection of results is used to obtain values for y _ { 0 } = ( 3.60 \pm 0.24 ) \times 10 ^ { -4 } and the cluster peculiar velocity v _ { z } = -226 \pm 275 km/s .