Algebra and Trigonometry

Algebra and Trigonometry, 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

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Algebra and Trigonometry-Mathematics

Summary

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 graphing calculators.

Features

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 precalculus 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

NEW—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 analyses.
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