Lectures on stochastic control -- Stochastic non linear filtering equations and semimartingales -- Stochastic partial differential equations connected with non-linear filtering -- Lectures on nonlinear filtering and stochastic control -- Equations of non-linear filtering; and application to stochastic control with partial observation -- On approximation methods for nonlinear filtering -- On weak convergence to random processes with boundary conditions -- How to discretize stochastic differential equations