Mathematical Modelling with Case Studies: Using Maple and MATLAB, Third Edition

Mathematical Modelling with Case Studies: Using Maple™ and MATLAB®, Third Edition provides students with hands-on modelling skills for a wide variety of problems 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 seemingly complex problem into a much 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, the authors analyze the behavior of the models under changing conditions. The authors often examine a model numerically before solving it analytically. They also discuss the validation of the models and suggest extensions to the models with an emphasis on recognizing the strengths and limitations of each model.

• Focuses on compartmental models, population models, and heat transfer problems
• Uses compartment diagrams and word equations to help readers conceptualize the formulation of differential equations
• Includes many case studies to provide a practical understanding of how the models are used in current research, such as environmental science, biology, and archaeology
• Supplies Maple codes in the text and online so results can be reproduced exactly
• Offers end-of-chapter problems for practicing with the formulation, analysis, and interpretation of differential equation models.  Solutions manual available for qualifying instructors.