ch. 1. Integration by parts and absolute continuity of probability laws -- ch. 2. Finite dimensional Malliavin calculus -- ch. 3. The basic operators of Malliavin calculus -- ch. 4. Representation of Wiener functionals -- ch. 5. Criteria for absolute continuity and smoothness of probability laws -- ch. 6. Stochastic partial differential equations driven by spatially homogeneous gaussian noise -- ch. 7. Malliavin regularity of solutions of SPDE's -- ch. 8. Analysis of the Malliavin matrix of solutions of SPDE's.