General Definitions, Conservation Laws -- Lagrangian Coordinates -- Constitutive Laws -- The Principle of Material Frame-Indifference -- Replacing Entropy with Temperature -- Isotropy -- Equations in Lagrangian Coordinates -- Linearized Models -- Quasi-static Thermoelasticity -- Fluids -- Linearized Models for Fluids, Acoustics -- Perfect Gases -- Incompressible Fluids -- Turbulent Flow of Incompressible Newtonian Fluids -- Mixtures of Coleman-Noll Fluids -- Chemical Reactions in a Stirred Tank -- Chemical Equilibrium of a Reacting Mixture of Perfect Gases in a Stirred Tank -- Flow of a Mixture of Reacting Perfect Gases -- The Method of Mixture Fractions -- Turbulent Flow of Reacting Mixtures of Perfect Gases, The PDF Method.