Focusing on compartmental models, population models, and heat transfer problems, this textbook carefully details the process of constructing a model. It uses flow diagrams and word equations to aid in the model building process and to develop the mathematical equations. The text also includes many case studies of relevant applications to provide a practical understanding of how the models are used in current research, such as environmental science, biology, and archaeology. Maple ™ and MATLAB ® codes are supplied in the text and online so results can be reproduced exactly. A solutions manual is available for qualifying instructors.