This new edition of "Mathematics for Dynamic Modeling" updates a widely used and highly-respected textbook. The text is appropriate for upper-level undergraduate and graduate level courses in modeling, dynamical systems, differential equations, and linear multivariable systems offered in a variety of departments including mathematics, engineering, computer science, and economics. The text features many different realistic applications from a wide variety of disciplines. The book covers important tools such as linearization, feedback concepts, the use of Liapunov functions, and optimal control. This new edition is a valuable tool for understanding and teaching a rapidly growing field. Practitioners and researchers may also find this book of interest. It contains a new chapter on stability of dynamic models. It covers many realistic applications from a wide variety of fields in an accessible manner. It provides a broad introduction to the full scope of dynamical systems. It incorporates new developments such as new models for chemical reactions and autocatalysis. It integrates MATLAB throughout the text in both examples and illustrations. It also includes a new introduction to nonlinear differential equations.