Introduction to Fourier series and their use in boundary value problems. Review of the conservation laws and associated differential equations. Mathematical description of solids and fluids: forces, displacement, stresses, strains and their relations. Analysis of the response of micromechanical systems to electrical, thermal, magnetic, and mechanical forces. Viscoelastic properties of polymeric and biological systems. Fundamentals of transport phenomena: mass, heat, charge, momentum and energy. Molecular transport mechanisms. [Offered: S] Prereq: MATH 211, 212; 3A Nanotechnology Engineering students only