Minimalist models of grammar are presented in a step-by-step fashion, and the ways in which they contrast with GB analyses are clearly explained. Contents: 1. The minimalist project; 2. Some architectural issues in a minimalist setting; 3. Theta domains; 4. Case domains; 5. Movement and minimality effects; 6. Phrase structure; 7. Linearization; 8. Binding theory; 9. Feature interpretability and feature checking; 10. Derivational economy.