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We give an overview of the Galaxy Evolution Explorer (GALEX), a NASA Explorer Mission launched on 2003 April 28. GALEX is performing the first space UV sky survey, including imaging and grism surveys in two bands (1350-1750 and 1750-2750 Å). The surveys include an all-sky imaging survey (m AB≃ 20.5), a medium imaging survey of 1000 deg 2 (m AB≃ 23), a deep imaging survey of 100 deg 2 (m AB≃ 25), and a nearby galaxy survey. Spectroscopic (slitless) grism surveys (R= 100-200) are underway with various depths and sky coverage. Many targets overlap existing or planned surveys in other bands. We will use the measured UV properties of local galaxies, along with corollary observations, to calibrate the relationship of the UV and global star formation rate in local galaxies. We will apply this calibration to distant galaxies discovered in the deep imaging and spectroscopic surveys to map the history of …