Includes bibliographical references and index.

Introduction to Maple -- Introduction, overview, and the process of mathematical modeling -- Discrete dynamical models -- Model fitting -- Modeling with proportionality and geometric similarity -- Empirical model construction -- Modeling with linear programming -- Modeling with single-variable unconstrained optimization -- Models using unconstrained optimization: maximization and minimization with several variables -- Modeling optimization with constraints -- Modeling with linear systems of equations using linear algebra techniques -- Modeling first-order ordinary differential equations (ODEs) -- Modeling with systems of differential equations -- Classical probability and discrete probability modeling -- Continuous probability models -- Simulation modeling -- Modeling with game theory -- Answers to selected problems.