Summary: This text provides an introduction to the entire modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem solving process to enhance a student's problem solving capabilities. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or se ...show morelect models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible, beginning with short projects, the book facilitates their progressive development and confidence in mathematics and modeling.Edition/Copyright: 3RD 03
- NEW! Includes a CD-ROM, packaged free with the text, that contains software, additional modeling scenarios, projects, and past problems from the Mathematical Contest in Modeling.
- Motivates students to study advanced courses such as linear algebra, differential equations, optimization and linear programming, numerical analysis, probability, and statistics by familiarizing them with the power and utility of these subjects.
- NEW! Provides new scenarios, examples, and exercises throughout the text.
- NEW! Contains numerical, graphical, and analytic solutions in the opening chapter, , MODELING WITH DISCRETE DYNAMICAL SYSTEMS.
- NEW! Demonstrates how modern applied mathematics is facilitated by technology, including discrete dynamical systems, discrete optimization, and simulation.
- NEW! The authors' lab sheets are available online under Instructor Resources at the Brooks/Cole Mathematics Resource Center Web site (www.brookscole.com/mathematics).
- Enhances a student's problem solving capabilities with a six-step problem-solving process: problem identification, model construction or selection, identification and collection of data, model validation, calculation of solutions to the model, and model implementation and maintenance.
- Emphasizes model construction to promote student creativity and to demonstrate the artistic nature of model building, including the ideas of experimentation and simulation.
- Blends mathematical modeling techniques with the more creative aspects of modeling for variety and confidence building, and gradually transitions to the more difficult creative aspects.
- Includes individual and group projects in creative and empirical model construction, model analysis, and model research.
Publisher: Brooks/Cole Publishing Co.
Other Editions of First Course in Mathematical Modeling / With CD: