Introduction to Mathematical Modeling. Introduction to Compartmental Models. Compartmental Models. Models of Single Populations. Numerical Solution of Differential Equations. Models of Interacting Populations. Formulating Models. Phase-plane Analysis.

Linearization Analysis. Some Improved Models. Models of Heating and Cooling. Formulating Basic Models. Solving Time-Dependent Problems. Solving Heat Conduction Problems. Models with Partial Differential Equations. Introduction to Partial Differential Equations.

Appendices. Differential Equations. Further Mathematics. Notes on Maple. A Brief Introduction to Maple E SI Units. Certain basic modeling skills can be applied to a wide variety of problems. This book focuses on those mathematical techniques that are applicable to models involving differential equations. Models in three different areas are considered: growth and decay processes, interacting populations, and heating/cooling problems.

It contains three general sections: Compartmental Models, Population Models, and Heat Transfer Models. Each section describes in full detail the process of constructing a model. Applications and case studies are integral to this text and included throughout. This is a useful course text, that requires only basic calculus and fundamental computing skills.