This document provides an outline of key concepts in discourse grammar. It begins with an introduction to discourse grammar as analyzing grammar in longer texts rather than isolated sentences. It then discusses several discourse grammar concepts including the texture of a text in providing unity of structure and texture, different types of reference including anaphoric and cataphoric, lexical cohesion through repetition and synonymy, collocation and expectancy relations, and the role of conjunctions in discourse. The document is intended to introduce discourse grammar concepts for analysis of naturally occurring language in both written and spoken texts.