College Algebra: A View of the World Around Us, 1/e
David Wells, The Pennsylvania State University
Lynn Schmitt, The Pennsylvania State University
Published March, 1997 by Prentice Hall Engineering/Science/Mathematics
Copyright 1997, 539 pp.
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College Algebra with Graphing Calculators-Mathematics
This text places mathematics into a real-world setting. Concepts are
developed through the Rule of FourNumeric, Analytic,
Graphic, and Verbal. Graphing utilities are integrated as a tool while
the focus is on the mathematics.
Establishes a connection between abstract mathematical concepts
and the physical world through sections titled Mathematical Looking
Glasses. These sections are designed to deepen understanding by
introducing mathematical ideas in a familiar physical context.
Provides analytical, graphical, numerical, and verbal
approaches to all major topics. Students who find one particular approach
to a topic most natural can use that approach to enhance their understanding
of the other three.
Includes regular use of Polya's problem solving strategies.
By frequently identifying Polya strategies used in the exposition,
the book provides students with a large number of examples of how
each strategy can be used effectively.
Incorporates the use of graphing utilities where appropriate
as well as discussions of the advantages and limitations of technology.
Identifies exercises according to purpose, allowing both
instructors and students to see what the objective of an exercise
is. Among these identifiers are:
Foreshadows important calculus concepts like approximations,
average rate of change, parametric equations, and implicit functions.
This helps to smooth the transition from algebra to calculus for students
who will go on to study calculus.
- Creating Models.
- Interpreting Mathematics.
- Making Observations.
Integrates mathematical history into the body of the
Written in a style that is student-friendly and conversational.
Exercises are placed at strategic points within each section,
increasing the likelihood that students will read sections rather
than skipping immediately to the exercise sets at the end.
Contains an extensive review of basic algebra skills in
an appendix. This arrangement allows instructors to assign review
exercises at appropriate times without interrupting the flow of current
1. Modeling and Problem-Solving.
3. Linear Functions.
4. Linear Systems.
5. Quadratic Functions.
6. Quadratic Relations.
7. Polynomial Functions.
8. Rational Functions.
9. Exponential and Logarithmic Functions.
Appendix A: Basic Algebra Reference.
Appendix B: Tips for Graphing Functions with a Calculator.