The course presents and applies a productive approach to design and manufacturing using algorithmic techniques. Schema grammars are one of the first, and remain one of the few, computational systems that are fully visual, rather than symbolic or numerical. They provide a standard distinct from other computational approaches and tools of relational design that exist today, offering a powerful tool for analysis and synthesis, for exploring the design process and for generating syntheses. After presenting and explaining the fundamental formalistic and practical principles of generic grammars through lectures, simple examples of classroom exercises, applications are explored. The applications concern both the stylistic analysis of individual architectural works and ensembles, and the creative design and production of prototype architectural compositions. Emphasis is placed on the systematic presentation and application of general schematic rules, the ways in which they combine to produce spatial compositions, and their classification into larger sets as compositional languages.