College Algebra, 1/e
Arthur Goodman, City University of New York, Queens College
Lewis Hirsch, Rutgers University
Published January, 1995 by Prentice Hall Engineering/Science/Mathematics
Copyright 1995, 618 pp.
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These renowned authors have crafted an acutely accurate, pedagogically
rich text that is traditional in content, but embraces a unique approach
that teaches students to (1) view questions from various perspectives,
(2) analyze problems carefully until they are fully understood, (3)
reformulate problems in more familiar terms, and (4) recognize that
most mathematical problems require significantly more thinking than
spends more time than other texts in introducing and developing
the concept of function and graph in Chapters 3 and 4.
offers Different Perspectives boxes wherever there
is an opportunity to highlight the connection between the algebraic
and geometric interpretation of the same idea (see page 150).
- particular attention has been paid to pointing out the
connection between the algebraic and geometric interpretations of
- an entire section (3.6) is devoted to graph interpretation,
extracting geometric information and recognizing algebraic relationships
integrates mathematical modelling in word problems and applications
wherever possible throughout the text, for example:
includes optional problems in GRAFFIX boxes that
make use of the graphics calculator (or computer graphics software)
as a learning tool, allowing students to explore or gain insight into
upcoming material, or clarify points of a previous discussion.
- Section 4.3 offers a broad introduction to the idea of
mathematical modelling, giving students opportunities to put the function
concept to use in a variety of situations
- Section 4.4, on quadratic functions, includes optimization
problems that demonstrate how the connections between algebraic, graphical,
and numerical perspectives can offer particular insight into a problem
- Chapter 6 includes a variety of exercises that illustrate
the remarkable range of disciplines in which quantities are related
by exponential or logarithmic functions
reinforces concepts of problem analysis by offering question-and-
answer solutions to particular problems.
- Example 7 on page 120 and Example 3 on page 204, show
students the thought processes involved in approaching and solving
new or unfamiliar problems, and develop effective problem-solving
1. Algebra: The Fundamentals.
2. Equations and Inequalities.
3. Functions and Graphs: Part I.
4. Functions and Graphs: Part II.
5. Polynomial, Rational, and Radical Functions.
6. Exponential and Logarithmic Functions.
7. Systems of Linear Equations and Inequalities.
8. Conic Sections and Nonlinear Systems.
9. Sequences, Series and Related Topics.
Answers to Selected Exercises.