Topological dynamics.- Hypercyclic and chaotic operators.- The Hypercyclicity Criterion.- Classes of hypercyclic and chaotic operators.- Necessary conditions for hypercyclicity and chaos.- Connectedness arguments in linear dynamics.- Dynamics of semigroups, with applications to differential equations.- Existence of hypercyclic operators.- Frequently hypercyclic operators.- Hypercyclic subspaces.- Common hypercyclic vectors.- Linear dynamics in topological vector spaces