The purpose of the School is to introduce and discuss recent trends in the theoretical and computational approaches for the modelling of condensed matter. There will be a special emphasis on describing the various ways events at finer scales in both space and time affect the macroscopic behaviour of matter at the macroscopic scales. Topics in continuum mechanics, theory of partial differential equations, stochastic calculus, and scientific computing will be addressed. The School will be a unique interdisciplinary opportunity to foster interactions among scholars coming from different scientific environments.