Mathematical Modeling with Case Studies: A Differential Equations Approach Using Maple and MATLAB, 3e

Mathematical Modeling with Case Studies: Using Maple and MATLAB provides students with hands-on modeling skills for a wide variety of scenarios involving differential equations that describe rates of change. While the book focuses on growth and decay processes, interacting populations, and heating/cooling problems, the mathematical techniques presented can be applied to many other areas.

The text carefully details the process of constructing a model, including the conversion of a complex problem into a simpler one. It uses flow diagrams and word equations to aid in the model-building process and to develop the mathematical equations. Employing theoretical, graphical, and computational tools, this book analyzes the behavior of the models under changing conditions. Often, the authors examine a model numerically before solving analytically; they also discuss the validation of models and suggest extensions to the models, with an emphasis on recognizing the strengths and limitations of each model.

The highly recommended second edition was praised for its lucid writing style and numerous real-world examples. With updated Maple and MATLAB code, as well as new case studies and exercises, this third edition continues to provide students a clear, practical understanding of the development and interpretation of mathematical models.