derivation, coderivation
graded derivation, differential graded algebra, de Rham complex
exterior derivative? of a differential k-form, interior product (antiderivation of degree $-1$)
Chevalley-Eilenberg algebra of a Lie algebra, Cartan calculus
Goodwillie calculus (differential calculus of homotopy functors)
of sets, pdf
of combinatorial species
of data types, pdf