[Book Cover]

Precalculus Mathematics, 5/e

Max A. Sobel, Montclair State College
Norbert Lerner, State University of New York, Cortland

Published April, 1995 by Prentice Hall Engineering/Science/Mathematics

Copyright 1995, 778 pp.
ISBN 0-13-112095-6

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Sobel and Lerner provide teachers with a teachable text and students with a readable text that will properly prepare them for future courses, particularly calculus. The text is designed specifically to ease the transition to calculus and directly involve the graphing calculator.


speaks to students in a relaxed, motivational, yet precise manner.

  • avoids “theorem-proof” formula, often leading up to important new concepts using plausible arguments or observations, then stating results
  • gently leads students into mathematical processes, resulting in better understanding and a clearer appreciation of mathematics
includes special material devoted to directly supporting topics in calculus without covering the actual topics themselves.
interweaves a graphical emphasis throughout the text, teaching students the structure of numerous fundamental and important curves.
  • uses translations, reflections, expansions and contractions to make available a wide variety of curves
  • solves various types of equations in conjunction with the graphs of the related functions, leading to a more mature understanding of both the algebra and graphing
offers optional graphing calculator sections with exercises, sometimes to verify what has been done by hand, other times to produce graphs of more complicated equations, observations and analysis.
contains over 500 display examples that demonstrate and support mathematical developments, offering detailed, fully- developed solutions as models for section exercises.
integrates interesting application examples with full solutions to spark students' interest for the exercise sets that follow.
includes Challenge and Critical Thinking problems at the end of most sections to develop and/or enhance students' critical thinking skills.
reflects the growing popularity of writing in mathematics by including Written Assignments near the end of most section exercise sets.
constructs a strong pedagogical framework composed of:
  • marginal notes
  • teaching notes
  • caution items
  • Test Your Understanding sections
  • chapter review exercises
  • two chapter tests after each chapter review exercise set—one requiring worked-out solutions, the other multiple choice.

Table of Contents
    1. Fundamentals of Algebra.
    2. Linear and Quadratic Functions with Applications.
    3. Polynomial and Rational Functions.
    4. Circles, Additional Curves, and the Algebra of Functions.
    5. Exponential and Logarithmic Functions.
    6. The Trigonometric Functions.
    7. Right Angle Trigonometry, Identities, and Equations.
    8. Additional Applications of Trigonometry.
    9. Linear Systems, Matrices and Determinants.
    10. The Conic Sections.
    11. Sequences and Series.
    12. Permutations, Combinations, Probability.
    Selected Tables and Answers.


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