These two papers represent the transcript of a seminar giving a survey of the subject. After the definitions, including the series of simple algebras \(A\), \(B\), \(C\), \(D\) defined as super-algebras, Grassmann-hulls are introduced, as block matrices over the tensor product of a Lie super algebra and Grassmann algebra. The corresponding Lie supergroups are then introduced, where the determinant is replaced by the superdeterminant or Berezinian: \(\text{sdet}{{A\;B} \choose {C\;D}}={\text{det}(A-BD^{- 1}C)\text{det }D^{-1}}\). Hopf superalgebras are then defined, the Hopf dual is described and some of the basic structure theorems are stated. All these results are illustrated but no proofs are given.