Differential models : an introduction with Mathcad Differential equations are often used in mathematical models for technological processes or devices. However the design of a differential mathematical model iscrucial anddifficult in engineering. As a hands on approach to learn how to pose a differential mathematical modelthe authors have selected 9 examples with important practical application and treat them as following: Problem setting and physical model formulation Designing the differential mathematical model Integration of the differential equations Visualization of results Each step of the development ofa differential model isenriched by respective Mathcad 11commands todays necessary linkage of engineering significance and high computing complexity. TOC:Differential Mathematical Models. Integrable Differential Equations. Dynamic Model of the System with Heat Engineering. Stiff Differential Equations. Heat Transfer near the Critical Point. The Faulkner Skan Equation of Boundary Layer. The Rayleigh Equation: Hydronamic Instability. Kinematic Waves of Concentration in Ion Exchange Filters. Kinematic Shock Waves. Numerical Modelling of the CPU board Temperature Field. Temperature Waves