This course supplements the clasical undergraduate thermodynamics course by focusing on physical and thermodynamic properties, and phase equilibria. A variety of equations of state, and their applicability, are introduced as are all of the important liquid activity coefficient equations. Customization of both vapor and liquid equations is introduced by appropriate methods of applied mathematics. Vapot-liquid, liquid-liquid, vapor-liquid-liquid and solid-liquid equilibria are considered with rigor. Industrial applications are employed. A variety of methods for estimating physical and thermodynamic properties are introduced. Students are encouraged to use commercial software in applications. The course concludes with an introduction to statistical thermodynamics.