Precalculus: A Graphing Approach, 1/e
Dale Varberg, Hamline University
Thomas D. Varberg, Macalester College
Published October, 1994 by Prentice Hall Engineering/Science/Mathematics
Copyright 1995, 640 pp.
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Precalculus with Graphing Calculators-Mathematics
Varberg and Varberg use the graphics calculator throughout this text
to (1) help motivate and explain standard material, (2) explore concepts
that transcend the traditional precalculus course, and (3) make mathematics
covers traditional topics, emphasizing those that are needed
in other mathematics, science or business courses or applications
and can be explored or illustrated on a graphics calculator.
organizes coverage around a particular function and its
graph, studying functions to a depth that includes:
each section begins with a Teaser problem and ends
with an extensive problem set composed of two parts:
- finding their zeros
- discovering where they increase and decrease
- identifying their maxima and minima
- analyzing their asymptotic behavior
- calculating their rates of change
contains sixty sections designed to be covered in one lesson,
leaving plenty of material for a one- or two-semester course.
- Part ASkills and Techniquesoffers simpler
problem pairs which follow the text and its examples closely
- Part BApplications and Extensionsincludes
a variety of more demanding problems that make use of the skills learned
in Part A in the broad context of mathematical, scientific and business
delays the discussion of graphics calculator programming
until the last chapter of the book where it fits naturally with the
discussion of sequences and series.
1. Numbers, Equations, and Inequalities.
2. Functions and Their Graphs.
3. Exponential and Logarithmic Functions.
4. The Trigonometric Functions.
5. Trigonometric Identities, Equations, and Laws.
6. Systems of Equations and Inequalities.
7. Analytic Geometry.
8. Sequences, Counting, and Probability.