Precalculus: Graphing and Data Analysis, 1/e
Michael Sullivan, Chicago State University
Michael Sullivan, South Suburban College
Published December, 1997 by Prentice Hall Engineering/Science/Mathematics
Copyright 1998, 1100 pp.
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Precalculus with Graphing Calculators-Mathematics
Designed for the Precalculus course covering algebra and
trigonometry. This text covers unit circle trigonometry first and
then explores the right angle approach. This text requires student
use of graphing calculators or a computer based software program.
For schools who wish to cover right angle first, please see Algebra
and Trigonometry: Graphing and Data Analysis. The goal of this
text is to provide a solid mathematical foundation via visualization
of real world data. Technology is used as a tool to solve problems,
motivate concepts, explore and preview mathematical concepts and to
find curves of best fit to the data. Most mathematical concepts are
developed and illustrated both algebraically and graphically - with
the more intuitive and appropriate method presented first. Also included
in this text is a foreshadowing of calculus through the chapter on
Limits and Derivatives.
@BREAKNOLINALT = Mathematics
The authors use their extensive teaching and writing experiences
to guide and support students through the typical difficult areas.
Each section opens with the mathematical objectives of the
section. Each objective is referenced as it is encountered in the
Examples are worked out step-by-step, both numerically and
Many examples include the Now Work feature which
suggests a similar odd-numbered problem from the section exercise
set. This allows for immediate reinforcement of concepts through
Historical Notes are provided in context, enhancing
student interest, provide anecdotal information on how and where mathematical
concepts have come from.
Exercises are carefully crafted beginning with confidence
builders and visualization exercises, then practice and drill, followed
by the more challenging and application driven problems. Discussion,
Writing and Research questions are clearly called out by the red icon
in the margin.
Each chapter opens by listing the concepts (and page references)
that the student will need to review Before Getting Started.
The chapters conclude with a detailed chapter review, including
Important Formulas, Theorems and Definitions, a list of
Things to Know and Do, True/False Questions, Fill-in-the-Blank
items, and Review Exercises.
@BREAKNOLINALT = Technology
The authors approach the use of technology as an enhancement
to the learning of mathematics not as a replacement for learning.
Graphing utilities are used to help students analyze data
and find curves of best fit. Types of curve fitting discussed include:
linear, quadratic, cubic, power, exponential, logarithmic, logistic,
Using the power of the grapher, students are able to approach
problems and concepts that may have been beyond them without the grapher.
Real TI-83 screen shots are used as the illustrations for
the purpose of clear visualization of the materials.
@BREAKNOLINALT = Data
Sourced data connects the mathematical concepts to other
disciplines and other interests of the students - adding relevancy
Applications involving data analysis utilize real world
sources such as the US Census Bureau, Government Agencies and the
Each chapter has an Internet Exploration. These
optional explorations introduce students to live data via
the Internet. Multiple questions follow each exploration encouraging
the use of Polya's problem solving strategies. The links to the sites
are all maintained via the Prentice Hall Companion Website for Sullivan
1. Graphs and Equations.
2. Functions and Their Graphs.
3. Polynomial and Rational Functions.
4. Exponential and Logarithmic Functions.
5. Trigonometric Functions.
6. Analytic Trigonometry.
7. Applications of Trigonometric Functions.
8. Polar Coordinates; Vectors.
9. Analytic Geometry.
10. Systems of Equations and Inequalities.
11. Sequence; Induction; Counting; Probability.
12. A Preview of Calculus: The Limit and the Derivative
of a Function.