This document contains lecture slides for a course on microbial phylogenomics taught by Jonathan Eisen at UC Davis in winter 2014. The slides discuss the use of rRNA PCR and sequencing to study major microbial groups based on 16S rRNA gene sequences. They provide phylogenetic trees comparing sequences from cultivated vs uncultivated microbes in various bacterial divisions. The slides also address issues with phylogenetic analysis like unseen changes over evolutionary time and limitations in representing diversity due to a lack of cultivated microbes. Overall, the slides aim to provide students with an understanding of how rRNA gene sequencing has expanded knowledge of microbial diversity beyond what was known from culture and the challenges that remain in fully resolving deep phylogenetic relationships.