Will develop a fundamental understanding on the underlying atomic and microstructural mechanisms controlling the time-evolution of materials. Principles and controlling aspects of diffusion, Irreversible Thermodynamics, motion of dislocations and interfaces, morphological evolution due to capillary and applied mechanical forces (including evapo- ration/condensation, coarsening, sintering, grain growth, diffusional creep), phase transformation kinetics, including general features of order-disorder transformations, spinodal decomposition, fundamentals of nucleation, growth, precipitation, and martensitic transformations will be presented. The mathematical fundamentals spanning applications across the entire range of currently studied materials will be discussed.