We present 5321 mas-resolution total intensity and linear polarization maps of 437 active galactic nuclei (AGNs) obtained with the VLBA at 15GHz as part of the MOJAVE survey, and also from the NRAO data archive. The former is a long-term program to study the structure and evolution of powerful parsec-scale outflows associated with AGNs. The targeted AGNs are drawn from several flux-limited radio and {gamma}-ray samples, and all have correlated VLBA flux densities greater than ~50mJy at 15GHz. Approximately 80% of these AGNs are associated with {gamma}-ray sources detected by the Fermi LAT instrument. The vast majority were observed with the VLBA on 5-15 occasions between 1996 January 19 and 2016 December 26, at intervals ranging from a month to several years, with the most typical sampling interval being six months. A detailed analysis of the linear and circular polarization evolutions of these AGN jets is presented in the other papers in this series.