Mathematical Modeling Applications with GeoGebra 1st Edition Jonas Hall

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Product details:

• ISBN-10: 1580465978
• ISBN-13:  978-1580465977
• Author: Jonas Hall (Author), Thomas Lingefjärd (Author)

A logical problem-based introduction to the use of GeoGebra for mathematical modeling and problem solving within various areas of mathematics

A well-organized guide to mathematical modeling techniques for evaluating and solving problems in the diverse field of mathematics, Mathematical Modeling: Applications with GeoGebra presents a unique approach to software applications in GeoGebra and WolframAlpha. The software is well suited for modeling problems in numerous areas of mathematics including algebra, symbolic algebra, dynamic geometry, three-dimensional geometry, and statistics. Featuring detailed information on how GeoGebra can be used as a guide to mathematical modeling, the book provides comprehensive modeling examples that correspond to different levels of mathematical experience, from simple linear relations to differential equations.

Each chapter builds on the previous chapter with practical examples in order to illustrate the mathematical modeling skills necessary for problem solving. Addressing methods for evaluating models including relative error, correlation, square sum of errors, regression, and confidence interval, Mathematical Modeling: Applications with GeoGebra also includes:

• Over 400 diagrams and 300 GeoGebra examples with practical approaches to mathematical modeling that help the reader develop a full understanding of the content
• Numerous real-world exercises with solutions to help readers learn mathematical modeling techniques
• A companion website with GeoGebra constructions and screencasts

Mathematical Modeling: Applications with GeoGebrais ideal for upper-undergraduate and graduate-level courses in mathematical modeling, applied mathematics, modeling and simulation, operations research, and optimization. The book is also an excellent reference for undergraduate and high school instructors in mathematics.

Table of contents:

1 SOME INTRODUCTORY PROBLEMS

2 LINEAR MODELS

3 NONLINEAR EMPIRICAL MODELS I

4 NONLINEAR EMPIRICAL MODELS II

5 MODELING WITH CALCULUS

6 USING DIFFERENTIAL EQUATIONS

7 GEOMETRICAL MODELS

8 DISCRETE MODELS

9 MODELING IN THE CLASSROOM

10 ASSESSING MODELING

11 ASSESSING MODELS

12 INTERPRETING MODELS

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