Higher Education

Precalculus, 7th Edition

  • David Cohen late of University of California, Los Angeles
  • Theodore B. Lee City College of San Francisco
  • David Sklar San Francisco State University
  • ISBN-10: 0840069421  |  ISBN-13: 9780840069429
  • 1184 Pages
  • Previous Editions: 2005, 1997, 1987
  • © 2012 | Published
  • College Bookstore Wholesale Price = $258.00
  • Newer Edition Available
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About

Overview

Written by David Cohen and co-authors Theodore B. Lee and David Sklar, PRECALCULUS, Seventh Edition, focuses on the use of a graphical perspective to provide a visual understanding of college algebra and trigonometry. Cohen's texts are known for their clear writing style and outstanding, graded exercises and applications, including many examples and exercises involving applications and real-life data. Graphs, visualization of data, and functions are introduced and emphasized early on to aid student understanding. Although the text provides thorough treatment of the graphing calculator, the material is arranged to allow instructors to teach the course with as much or as little graphing utility work as they wish.

Additional Product Information

Features and Benefits

  • Thorough treatment of the role of the graphing utility is carefully integrated throughout the text. Graphing utility exercises are identified in the exercise sets with an icon. Reviewers have praised this book's thoughtful approach to the optional use of technology, lauding the way it covers the realistic use of modern technologies while providing a solid foundation in algebraic concepts.
  • "Writing Mathematics" sections and "Projects" (the latter now referenced in the book and available online) give students opportunities to discuss, explore, learn, and write about mathematics.
  • Functions, introduced in Chapter 3, are presented at length using algebraic, verbal, tabular, and graphical forms. Functions as models are introduced and used in examples and exercises.
  • This text has been lauded for its remarkable writing style, which is student friendly and yet mathematically honest.
  • The "Graphical Perspective" feature uses graphs to supplement the text discussion and encourage students to produce their own pictures of a graph.
  • The book features a strong emphasis on graphs and visualization, with numerical, graphical, and algebraic viewpoints tightly linked throughout to help students understand the material.
  • Iteration is covered from numerical, graphical, and algebraic viewpoints.
  • Exercises, praised for their excellence, range in difficulty from simple to more complex and are designated with an "A," "B," or "C" rating.

Table of Contents

1. FUNDAMENTALS.
Sets of Real Numbers. Absolute Value. Solving Equations (Review and Preview). Rectangular Coordinates. Visualizing Data. Graphs and Graphing Utilities. Equations of Lines. Symmetry and Graphs. Circles.
2. EQUATIONS AND INEQUALITIES.
Quadratic Equations: Theory and Examples. Other Types of Equations. Inequalities. More on Inequalities.
3. FUNCTIONS.
The Definition of a Function. The Graph of a Function. Shapes of Graphs. Average Rate of Change. Techniques in Graphing. Methods of Combining Functions. Iteration. Inverse Functions.
4. POLYNOMIAL AND RATIONAL FUNCTIONS: APPLICATIONS TO OPTIMIZATION.
Linear Functions. Quadratic Functions. Using Iteration to Model Populations Growth (Optional Section). Setting Up Equations That Devine Functions. Maximum and Minimum Problems. Polynomial Functions. Rational Functions.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. The Exponential Function y = ex. Logarithmic Functions. Properties of Logarithms. Equations and Inequalities with Logs and Exponents. Compound Interest. Exponential Growth and Decay.
6. AN INTRODUCTION TO TRIGONOMETRY VIA RIGHT TRIANGLES.
Trigonometric Functions of Acute Angles. Right-Triangle Applications. Trigonometric Functions of Angles. Trigonometric Identities.
7. THE TRIGONOMETRIC FUNCTIONS.
Radian Measure. Trigonometric Functions of Angles. Evaluating the Trigonometric Functions. Algebra and the Trigonometric Functions. Right-Triangle Trigonometry.
8. GRAPHS OF TRIGONOMETRIC FUNCTIONS.
Trigonometric Functions of Real Numbers. Graphs of the Sine and Cosine Functions. Graphs of y = A sin(Bx-C) and y = A cos(Bx-C). Simple Harmonic Motion. Graphs of the Tangent and the Reciprocal Functions.
9. ANALYTICAL TRIGONOMETRY.
The Addition Formulas. The Double-Angle Formulas. The Product-to-Sum and Sum-to-Product Formulas. Trigonometric Equations. The Inverse Trigonometric Functions.
10. ADDITIONAL TOPICS IN TRIGONOMETRY.
Right-Triangle Applications. The Law of Sines and the Law of Cosines. Vectors in the Plane: A Geometric Approach. Vectors in the Plane: An Algebraic Approach. Parametric Equations. Introduction to Polar Coordinates. Curves in Polar Coordinates.
DeMoivre's Theorem.
11. SYSTEMS OF EQUATIONS.
Systems of Two Linear Equations in Two Unknowns. Gaussian Elimination. Matrices. The Inverse of a Square Matrix. Determinants and Cramer's Rule. Nonlinear Systems of Equations. Systems of Inequalities.
12. THE CONIC SECTIONS.
The Basic Equations. The Parabola. Tangents to Parabolas (Optional Section). The Ellipse. The Hyperbola. The Focus-Directrix Property of Conics. The Conics in Polar Coordinates. Rotation of Axes.
13. ROOTS OF POLYNOMIAL EQUATIONS.
Division of Polynomials. The Remainder Theorem and the Factor Theorem. The Fundamental Theorem of Algebra. Rational and Irrational Roots. Conjugate Roots and Descartes's Rule of Signs. Introduction to Partial Fractions. More About Partial Fractions.
14. ADDITIONAL TOPICS IN ALGEBRA.
Mathematical Induction. The Binomial Theorem. Introduction to Sequences and Series. Arithmetic Sequences and Series. Geometric Sequences and Series. Introduction to Limits.
Appendix A.1: Significant Digits.
Appendix A.2: √2 is Irrational.
Appendix A.3: The Complex Number System.
Answers.
Index.

What's New

  • In addition to being honed in numerous sections to improve clarity, this edition combines material from PRECALCULUS: A PROBLEMS-ORIENTED APPROACH with that of PRECALCULUS: WITH UNIT-CIRCLE TRIGONOMETRY, 4th Edition--creating a single book that accommodates the introduction of trigonometry with either a right triangle approach or a unit-circle approach.
  • This edition's broader content allows instructors wishing to introduce trigonometry via right triangles to do so by covering Chapters 6 through 10. Instructors wishing to introduce trigonometry via the unit circle may do so by skipping Chapter 6 and then covering Chapters 7 through 10.
  • Section 1.7 presents rewritten coverage of symmetry that features an increased emphasis on geometry.
  • In Section 2.4, the "table" presentation of non-linear inequalities is complemented with a sign chart on a number line.
  • In Section 3.4, "Techniques in Graphing," material on graphing techniques has been rewritten to include coverage of vertical and horizontal scaling of graphs.
  • Section 3.5, 'Methods of Combining Functions," includes new material of an abstract nature in discussing combinations of two even functions, two odd functions, or an even function and an odd function to determine whether properties are "preserved."
  • In Section 3.6, the presentation of inverse functions has been rewritten to emphasize the connection between a one-to-one function and its inverse function.
  • Section 4.6 includes a more detailed discussion and analysis of limiting behavior without using limits or limit notation. Enhanced discussion of limiting behavior (developed in Sections 4.6 and 4.7) continues in Sections 5.1 through 5.3 with the analysis of asymptote and other end behavior of graphs of exponential and logarithmic functions.
  • A new Section 14.6 on limits at infinity helps students in the transition to a calculus course.
  • To keep the text at a manageable length, many "Projects" are now referenced but not included in the book. Instead, they are accessible online at http://www.cengage.com/math/cohen/precalculus7e.
  • New homework problems appear in sections that have been significantly changed and instructions for some old problems have been modified to reflect the new presentation.

Learning Resource Bundles

Choose the textbook packaged with the resources that best meet your course and student needs. Contact your Learning Consultant for more information.

Bundle: Text + Enhanced WebAssign Homework with eBook Access Card for One Term Math and Science

ISBN-10: 1111495831  | ISBN-13: 9781111495831

List Price = $349.95  | College Bookstore Wholesale Price = $263.00

This Bundle Includes:

  • Precalculus
    List Price = $343.95  | CengageBrain Price = $343.95  | College Bookstore Wholesale Price = $258.00
  • Enhanced WebAssign Printed Access Card for Pre-Calculus & College Algebra, Single-Term Courses
    List Price = $94.00  | College Bookstore Wholesale Price = $70.50


Bundle: Text + Enhanced WebAssign - Start Smart Guide for Students + Enhanced WebAssign Printed Access Card for Pre-Calculus & College Algebra, Single-Term Courses

ISBN-10:  1133150993  | ISBN-13:  9781133150992

List Price = $349.95  | CengageBrain Price = $349.95  | College Bookstore Wholesale Price = $263.00

This Bundle Includes:

  • Precalculus
    List Price = $343.95  | CengageBrain Price = $343.95  | College Bookstore Wholesale Price = $258.00
  • Enhanced WebAssign - Start Smart Guide for Students
    List Price = $49.95  | CengageBrain Price = $49.95  | College Bookstore Wholesale Price = $37.50
  • Enhanced WebAssign Printed Access Card for Pre-Calculus & College Algebra, Single-Term Courses
    List Price = $94.00  | College Bookstore Wholesale Price = $70.50


Bundle: Text + Student Solutions Manual

ISBN-10:  111170127X  | ISBN-13:  9781111701277

List Price = $442.95  | CengageBrain Price = $442.95  | College Bookstore Wholesale Price = $333.00

This Bundle Includes:

  • Precalculus
    List Price = $343.95  | CengageBrain Price = $343.95  | College Bookstore Wholesale Price = $258.00
  • Student Solutions Manual
    List Price = $99.95  | CengageBrain Price = $99.95  | College Bookstore Wholesale Price = $75.00


ePack: Printed Text + Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses

ISBN-10:  1305594037 | ISBN-13:  9781305594036

List Price = $349.95  | CengageBrain Price = $349.95  | College Bookstore Wholesale Price = $263.00

This Bundle Includes:

  • Precalculus
    List Price = $343.95  | CengageBrain Price = $343.95  | College Bookstore Wholesale Price = $258.00
  • Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses
    List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00


Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

Precalculus, 7th: PowerLecture CD-ROM with ExamView Test Generator  (ISBN-10: 1111428794 | ISBN-13: 9781111428792)

This CD-ROM (or DVD) provides the instructor with dynamic media tools for teaching. Create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing Featuring Algorithmic Equations. Easily build solution sets for homework or exams using Solution Builder's online solutions manual. Microsoft® PowerPoint® lecture slides and figures from the book are also included on this CD-ROM(or DVD).

Test Bank  (ISBN-10: 1111428832 | ISBN-13: 9781111428839)

The Test Bank contains multiple test forms for each chapter in the book, as well as final exams.

Precalculus, 7th: Complete Solutions Manual  (ISBN-10: 1111428840 | ISBN-13: 9781111428846)

This manual contains fully worked-out solutions to all exercises in the text.

Precalculus, 7th: DVD Program  (ISBN-10: 1111428859 | ISBN-13: 9781111428853)

These DVDs cover all sections in the text. Ideal for promoting individual study and review, these comprehensive video segments also support students in online courses or those who may have missed a lecture.

Student Solutions Manual  (ISBN-10: 1111428247 | ISBN-13: 9781111428242)

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

List Price = $99.95  | CengageBrain Price = $99.95  | College Bookstore Wholesale Price = $75.00

Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Student Supplements

Student Solutions Manual  (ISBN-10: 1111428247 | ISBN-13: 9781111428242)

Go beyond the answers--see what it takes to get there and improve your grade! This manual provides worked-out, step-by-step solutions to the odd-numbered problems in the text. This gives you the information you need to truly understand how these problems are solved.

List Price = $99.95  | CengageBrain Price = $99.95  | College Bookstore Wholesale Price = $75.00

Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Meet the Author

Author Bio

David Cohen

David Cohen, a senior lecturer at UCLA, was the original author of the successful, well-respected precalculus series--COLLEGE ALGEBRA, ALGEBRA AND TRIGONOMETRY, PRECALCULUS: A PROBLEMS-ORIENTED APPROACH, and PRECALCULUS: WITH UNIT CIRCLE TRIGONOMETRY.