[Book Cover]

Mathematical Models-Preliminary Edition, 1/e

Robert Lee Kimball, Wake Technical Community College

Published August, 1996 by Prentice Hall Engineering/Science/Mathematics

Copyright 1997, 209 pp.
Paper
ISBN 0-13-271297-0


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Summary

This inexpensive introduction to mathematical models explores mathematics in the context of real applications that provide meaning and motivation. Technology is used throughout as a tool to solve problems and investigate solutions.

Features


Focuses on content that is consistent with the recommendations of AMATYC and NCTM.
Uses technology routinely throughout.
Uses real-world data.
Covers statistical concepts.
Includes directions for the use of student portfolios.
Provides problems that require students to do math not redo it.
Consistently explores problems using symbols, graphs, and tables.
Reviews arithmetic and basic algebra in the context of real problems.


Table of Contents

    1. Numerical Investigations with Algebraic Models.

      Functions-A First Look. Formulas. Investigating the Models.

    2. Mathematical Modeling.
    3. Statistics-Dealing With Data.

      Sampling. Describing Data. Experiments. Groups Discussions and Work. Line Graphs. Using Technology.

    4. Linear Functions.

      Relations and Functions. Linear Functions-The Slope. Linear Functions-Intercepts and Applications. Linear Functions-Finding the Mean. More on Linear Functions-Applications and Models. Other Functions. Electronic Spreadsheets-Taking the Pain Out of Functions.

    5. More on Statistics-Linear Regression.

      Measures of Central Tendency. Standard Deviation. Box and Whisker Plots. Linear Models of Best Fit. Help! Using Spreadsheets for Lines of Best Fit.

    6. Applications of Linear Equations.

      Systems of Linear Equations. Solving Systems of Linear Equations. Multiple Approaches to Systems of Linear Equations. Matrices-An Introduction. Matrices and Their Inverse. Linear Programming-Inequalities. Linear Programming-Introduction. Linear Programming. Linear Programming-More.

    7. Applications of Probability.

      Introduction to Probability. Area and Probability-Introducing the Normal Curve. The Normal Curve-An Application of Probability. The Exponential Function.

    Appendix:
    1. A Simulation.
    2. Calculator Activities.
    3. Ratios and Proportions.
    4. A Numerical Study of Functions.


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