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.
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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
includes special material devoted to directly supporting
topics in calculus without covering the actual topics themselves.
- 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
interweaves a graphical emphasis throughout the text, teaching
students the structure of numerous fundamental and important curves.
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.
- 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
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
reflects the growing popularity of writing in mathematics
by including Written Assignments near the end of most section
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
setone requiring worked-out solutions, the other multiple choice.
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.