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. * Contains a new chapter on stability of dynamic models * Covers many realistic applications from a wide variety of fields in an accessible manner * Provides a broad introduction to the full scope of dynamical systems * Incorporates new developments such as new models for chemical reactions and autocatalysis * Integrates MATLAB throughout the text in both examples and illustrations * Includes a new introduction to nonlinear differential equations.