We review differential calculus on modules of Jordan algebras, focusing on the exceptional Jordan
algebra $J^8_3$ that, as shown by Michel Dubois-Violette in "Exceptional quantum geometry and
particle physics" might provide the opportune mathematical background to overcome the main
problems of noncommutative formulation of Standard Model, namely the quark lepton-symmetry
and the three generations of particle. This a joint work with M. Dubois-Violette and L. Dabrowski.