Introduction to graded manifolds

Graded manifolds are "manifolds where some coordinates anticommute". Among other things, they provide a way to encode well-known matematical structures in a geometric and concise fashion. I plan to cover - graded linear algebra, graded manifolds, - how they encode $L_{\infty}$ algebras and Lie algebroids - how they encode Poisson manifolds and Courant algebroids - possibly some integration theory. The minicourse will be self-contained. The first lecture will not assume any knowledge other than linear algebra.