A primer of algebraic D-modules

1. The Weyl algebra 2. Ideal structure of the Weyl algebra 3. Rings of differential operators 4. Jacobian conjectures 5. Modules over the Weyl algebra 6. Differential equations 7. Graded and filtered modules 8. Noetherian rings and modules 9. Dimension and multiplicity 10. Holonomic modules 11. Characteristic varieties 12. Tensor products 13. External products 14. Inverse image 15. Embeddings 16. Direct images 17. Kashiwara's theorem 18. Preservation of holonomy 19. Stability of differential equations 20. Automatic proof of identities.