A First Course in Mathematical Modeling
Brooks/Cole Publishing Company, Dec 31, 1996 - Mathematical models - 525 pages
Now with discrete mathematics, this edition makes it possible to organize an entire course without the use of calculus. However, if you wish to cover the chapters requiring calculus, the book's unique organization permits use to concurrently teach the introductory calculus course -- as early as the first semester of the freshman year. Plus, the book's rich choice of topics provide an introduction to the operations research and quantitative management science courses. This text gives students an opportunity to cover all phases of the mathematical modeling process, including creative and empirical model construction, model analysis, and model research using clearly defined techniques, such as modeling using graphs, modeling using proportionality, and modeling fitting.
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Chapter One GRAPHS OF FUNCTIONS AS MODELS
Chapter Two THE MODELING PROCESS
Chapter Three MODELING WITH DISCRETE DYNAMICAL
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absolute deviation algorithm amount approximate arms race ASSO ASST assume assumptions average baleen whales baseball behavior braking Calculate Chapter coefficients consider constant constraint construct convex set cost Country cubic spline curve data points demand density dependent variable depicted in Figure derivative determine difference equations differential equation dimension dimensional analysis dimensionless products discussed divided difference drag force dynamical system elevator equilibrium value estimate example extreme point factors fish Formulate geometrically similar given Golden Section Search graph graphical model growth increase independent initial intersection point interval krill length linear program mathematical model maximize maximum minimize module objective function obtain optimal solution phase plane plot polynomial population level predict proportionality quality players random number represents rest point Search Method Section Ship slope solve species speed starting values Step stopping distance submodel Suppose Table trajectory UMAP unloading velocity versus weight whale yields zero