[Book Cover]

Intermediate Algebra: Functions and Authentic Applications, 1/e

Jay Lehmann, College of San Mateo

Coming December, 1999 by Prentice Hall Engineering/Science/Mathematics

Copyright 2000, 732 pp.
Paper
ISBN 0-13-014498-3


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Summary

For courses in Intermediate Algebra. Written to develop students' critical thinking and problem solving capabilities and make the math they learn in this course relevant to decision-making in real life. Topics are presented in an interesting and inviting format incorporating real world sourced data and modeling. Unique, enthusiastic approach, this text encourages students to take an active role in studying mathematics. Students are given opportunities to discover patterns—helping them develop critical thinking skills as well as mathematical confidence. By placing an emphasis on the usefulness of algebra throughout, students discover mathematical concepts while en route to solving true-to-life problems.

Features


Problems presented involve real data—Collected from scientific experiments and the census and require the use of a graphing calculator.
The use of the graphing utility extends from exploring concepts to verification of conjectures and pattern recognition.
Concepts are introduced graphically, numerically and symbolically.
Hands-on explorations—Get students to gain a solid understanding of functions, composition of functions, inverse functions using functions to model true-to-life situations and domain and range.
Emphasizes and encourages the process of discovery to come to solutions, reinforcing the concept of active learning.
Text exercises
—Ask students to discuss mathematics and summarize their findings in writing to reinforce conceptual understanding.
Includes collaborative projects—That foster teamwork among students.
Math is presented as a powerful tool reinforcing the idea that an understanding of algebra can often put an individual in a position of power to make better conjectures and predictions.


Table of Contents
(NOTE: Each chapter ends with a Lab Activity, Chapter Summary, Chapter Review Exercises,and Chapter Test.)

    1. Linear Functions.

      Using Qualitative Graphs to Describe Situations. Sketching Graphs of Linear Equations. Slope of a Line. Slope and Intercepts. Finding Linear Equations. Functions.

    2. Modeling with Linear Functions.

      Using Lines to Model Data. Finding Equations for Linear Models. Function Notation and Making Predictions. Slope is a Rate of Change.

    3. Systems of Linear Functions.

      Using Graphs to Solve Systems. Using Equations to Solve Systems. Using Systems to Model Data. Linear Inequalities in One Variable.

    4. Exponential Functions.

      Properties of Exponents. Rational Exponents. Sketching Graphs of Exponential Functions. Finding Exponential Equations. Using Exponential Functions to Model Data.

    5. Logarithmic Functions.

      Finding Inverse Functions of Linear Functions. Logarithmic Functions. Properties of Logarithims. More Properties of Logarithims. Using the Power Property to Make Predictions.

    6. Quadratic Functions.

      Sketching Graphs of Functions in Vertex Form. Expanding and Factoring Quadratic Expressions. Factoring Quadratic Expressions. Using Factoring to Solve Quadratic Equations. Sketching Graphs of Quadratic Functions in Standard Form.

    7. Using Quadratic Functions to Model Data.

      Solve Quadratic Equations By Extracting the Roots. Solve Quadratic Equations By Completing the Square. Solve Quadratic Equations By Using the Quadratic Formula. Solving Systems of Three Equations to Find Quadratic Equations. Solving Systems to Find Equations of Quadratic Models. Modeling with Quadratic Functions.

    8. Rational Functions.

      Simplifying and Finding the Domain of Rational Functions. Multiplying and Dividing Rational Functions. Adding and Subtracting Rational Functions. Solving Rational Equations. Using Rational Functions to Model Data.

    9. Radical Functions.

      Simplifying Radical Functions. Operations of Radical Functions. Solving Radical Equations. Sketching Graphs of Radical Functions. Using Radical Functions to Model Data.

    10. Modeling with Sequences and Series.

      Arithmetic Sequences. Geometric Sequences. Arithmetic Series. Geometric Series.

    Appendix A. Reviewing Prerequisite Material.
    Appendix B. Using a TI-82 or TI-83 Graphing Calculator.
    Appendix C. Comparing TI-82/83/85/86 Calculator Commands.


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