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.
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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 patternshelping 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.
Problems presented involve real dataCollected
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
Hands-on explorationsGet 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 exercisesAsk students to discuss mathematics
and summarize their findings in writing to reinforce conceptual understanding.
Includes collaborative projectsThat foster teamwork
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.
(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
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.
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.