Higher Education

Precalculus, 1st Edition

  • Karla Neal Louisiana State University
  • R. David Gustafson Rock Valley College (Emeritus)
  • Jeff Hughes Hinds Community College
  • ISBN-10: 0495826626  |  ISBN-13: 9780495826620
  • 1024 Pages
  • © 2013 | Published
  • College Bookstore Wholesale Price = $171.75
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About

Overview

PRECALCULUS prepares students for calculus and the rigors of that course, having been written by teachers who have taught the courses and seen where students need help--and where other texts have come up short. The text features precise definitions and exposition, carefully crafted pedagogy, and a strong emphasis on algebraic, transcendental, and trigonometric functions. To show students how important and relevant precalculus topics are to their future coursework, an optional Looking Ahead to Calculus feature appears in each chapter. The varied examples and exercises include many that encourage students to use and understand graphs, as opposed to simply draw them, providing additional sound preparation for calculus.

Features and Benefits

  • LOOKING AHEAD TO CALCULUS: Offering an interesting glimpse into calculus, this feature demonstrates the relevance of precalculus topics to students' future success. Each feature (placed at the end of the chapter to allow instructional flexibility) includes objectives referencing the related chapter material, discussion of the topics, and "Connect to Calculus" exercises. References to this optional material (highlighted so that instructors may teach or skip it at their discretion) appear throughout each chapter, reinforcing the connection between the topics at hand and future courses.
  • ACCENTS ON TECHNOLOGY AND CALCULATORS: Accents on Technology appear throughout the textbook to encourage students to become intelligent users of technology and grasp concepts graphically. They illustrate and guide the use of a TI-84 graphing calculator for specific problems. Although graphing calculators are incorporated into the book, their use is not required. All graphing topics are fully discussed in traditional ways.
  • CAREERS IN MATHEMATICS CHAPTER OPENERS: To encourage students to explore careers that use mathematics and make a connection between math and real life, each chapter opens with Careers in Mathematics. New, exciting careers are showcased in this edition. Featuring information taken primarily from the Occupational Outlook Handbook, these snapshots include information on how professionals use math in their work and who employs them. A web address is provided, allowing students to learn more about the career.
  • SECTION OPENERS: Each section begins with a contemporary photo and a real-life application that will appeal to students of varied interests, piquing interest and motivating students to read the material.
  • NUMBERED OBJECTIVES: Numbered learning objectives, which are listed at the beginning of each section and appear as subheadings in the section, keep students focused.
  • STUDENT-FRIENDLY WRITING STYLE: Clear, concise, and friendly exposition helps to alleviate student anxiety about reading a mathematics textbook. The writing is informal yet accurate. Students and instructors alike should find the reading both interesting and inviting.
  • STRATEGY BOXES: To enable students to build on their mathematical reasoning and approach problems with confidence, Strategy boxes offer problem-solving techniques and steps at appropriate points in the material.
  • CAUTION BOXES: Caution boxes appear throughout the text to alert students to common errors and misunderstandings, and reinforce correct mathematics.
  • COMMENTS: Comment boxes appear throughout the textbook, providing additional insights; for instance, clarification on a specific step or concept in an example, or a tip for studying the material.
  • TITLED EXAMPLES: Descriptive titles have been added to clearly identify the topic and purpose of each example.
  • EXAMPLE STRUCTURE: To help students gain a deeper understanding of how to solve each problem, solutions begin with a stated approach. The examples are engaging and step-by-step solutions with annotations are provided.
  • SELF CHECKS: Each example is followed immediately by a Self Check exercise that actively reinforces student understanding of concepts and example solutions. The answers for students are offered at the end of each section. To assist instructors, the answers appear next to the problem in the Annotated Instructor's Edition, printed in blue.
  • NOW TRY EXERCISES: A reference to a Now Try exercise follows all Examples and Self Check problems, providing students an additional opportunity to assess their understanding of the concept related to each worked example. These references also show students a correspondence between the examples in the book and the exercise sets.
  • APPLICATION EXAMPLES: Applications from a wide range of disciplines demonstrate how mathematics is used to solve real problems, answering the student question, "When will I ever use this math?" These applications, many accompanied by an eye-catching photo, motivate the material and help students become better problem solvers.
  • GETTING READY EXERCISES: Each problem set begins with Getting Ready exercises, which test students' understanding of concepts and proper use of mathematical vocabulary. Students should be able to answer these fill-in-the blank questions before moving on to the Practice exercises.
  • COMPREHENSIVE EXERCISE SETS: To improve mathematical skills and cement understanding, the exercise sets progress from routine to more challenging. The mathematics in each exercise set is sound, but not so rigorous that it will confuse students. All exercise sets include Getting Ready, Practice, Application, and Discovery and Writing problems.
  • INTERESTING AND CONTEMPORARY APPLICATION EXERCISES: Application exercises, all with titles, reflect the book's emphasis on solving problems through realistic applications,
  • CHAPTER REVIEWS AND CHAPTER TESTS: Each chapter closes with a Chapter Review and Chapter Test, giving students the best opportunity for study and exam preparation. Chapter Reviews are comprehensive and consist of three parts: definitions and concepts, examples, and review exercises. Chapter Tests cover all the important topics and yet are brief enough to emulate a "real-time" test, so students can practice not only the math but also their test-taking aptitude. As an additional quick reference, endpapers offer the important formulas and graphs developed in the book.

Table of Contents

R. BASIC CONCEPTS.
Linear Equations and Applications. Complex Numbers. Quadratic Equations and Applications. Other Types of Equations. Inequalities. The Rectangular Coordinate System. Equations of Lines. Chapter Summary. Chapter Test. Looking Ahead to Calculus.
1. GRAPHS AND FUNCTIONS.
Graphs of Equations. Functions and Function Notation. Graphs of Functions. Basic Graphs. Transformations of Graphs. Operations on Functions. Inverse Functions. Chapter Summary. Chapter Test. Looking Ahead to Calculus.
2. POLYNOMIAL AND RATIONAL FUNCTIONS.
Quadratic Functions. Polynomial Functions. Rational Zeros of Polynomial Functions. Roots of Polynomial Equations. Rational Functions. Polynomial and Rational Inequalities. Chapter Summary. Chapter Test. Looking Ahead to Calculus.
3. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions, Graphs, and Applications. Applications of Exponential Functions. Logarithmic Functions and Their Graphs. Applications of Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter Summary. Chapter Test. Looking Ahead to Calculus.
4. TRIGONOMETRIC FUNCTIONS.
Angles and Their Measurement. The Unit Circle and Trigonometric Functions. Trigonometric Functions of Any Angle; Fundamental Identities. Graphs of the Sine and Cosine Functions. Graphs of the Tangent, Cotangent, Secant and Cosecant Functions. Regression and Other Graphs Involving Trigonometric Functions. Chapter Summary. Chapter Test. Looking Ahead to Calculus.
5. ANALYTIC TRIGONOMETRY.
Inverse Trigonometric Functions. Inverse Cotangent, Secant, and Cosecant Functions (Optional). Verifying Trigonometric Identities. Sum and Difference Formulas. Double-Angle, Power-Reduction, Half-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. Trigonometric Equations I. Trigonometric Equations II. Chapter Summary. Chapter Test. Looking Ahead to Calculus.
6. APPLICATIONS; OBLIQUE TRIANGLES.
Solving Right Triangles. More Right Triangle Applications. Law of Sines. Law of Cosines. Area of Triangles. Angular and Linear Velocity--Circular Motion. Chapter Summary. Chapter Test. Looking Ahead to Calculus.
7. POLAR COORDINATES; VECTORS.
Polar Coordinates. Polar Equations and Graphs. Complex Plane; Polar Form of Complex Numbers; DeMoivre's Theorem. Vectors. Dot Product. Chapter Summary. Chapter Test.
Looking Ahead to Calculus.
8. LINEAR SYSTEMS AND MATRICES.
Systems of Linear Equations. Gaussian Elimination and Matrix Methods. Matrix Algebra. Matrix Inversion. Determinants. Partial Fractions. Graphs of Linear Inequalities. Linear Programming (available on website). Chapter Summary. Chapter Test. Looking Ahead to Calculus.
9. CONIC SECTIONS AND QUADRATIC SYSTEMS.
The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Non-linear Systems of Equations. Plane Curves and Parametric Equations. Conic Sections in Polar Coordinates. Chapter Summary. Chapter Test. Looking Ahead to Calculus.
10. NATURAL NUMBER FUNCTIONS AND PROBABILITY.
The Binomial Theorem. Sequences, Series, and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. Permutations and Combinations (available on website). Probability (available on website). Chapter Summary. Chapter Test. Looking Ahead to Calculus.
11. INTRODUCTION TO CALCULUS (available on website).
Limits. Properties of Limits. Limits and Continuity. Average Rate of Change. Tangents and Derivatives. Area and Integrals. Chapter Summary. Chapter Test.
APPENDIX.
Sets of Real Numbers. Integer Exponents and Scientific Notation. Radicals and Rational Exponents. Polynomials. Factoring Polynomials. Rational Expressions.

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 Printed Access Card for Pre-Calculus & College Algebra, Single-Term Courses

ISBN-10: 1133615619  | ISBN-13: 9781133615613

List Price = $234.95  | CengageBrain Price = $234.95  | College Bookstore Wholesale Price = $176.75

This Bundle Includes:

  • Precalculus
    List Price = $228.95  | CengageBrain Price = $228.95  | College Bookstore Wholesale Price = $171.75
  • 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:  1133615627  | ISBN-13:  9781133615620

List Price = $297.95  | CengageBrain Price = $297.95  | College Bookstore Wholesale Price = $224.25

This Bundle Includes:

  • Precalculus
    List Price = $228.95  | CengageBrain Price = $228.95  | College Bookstore Wholesale Price = $171.75
  • Student Solutions Manual
    List Price = $69.95  | CengageBrain Price = $69.95  | College Bookstore Wholesale Price = $52.50


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

ISBN-10:  1337068578 | ISBN-13:  9781337068574

List Price = $234.95  | College Bookstore Wholesale Price = $176.75

This Bundle Includes:

  • 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
  • Precalculus
    List Price = $228.95  | CengageBrain Price = $228.95  | College Bookstore Wholesale Price = $171.75


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

PowerLecture with ExamView®  (ISBN-10: 1111989869 | ISBN-13: 9781111989866)

This CD-ROM (or DVD) provides the instructor with dynamic media tools for teaching, including Microsoft® PowerPoint® lecture slides and figures from the book. 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 by using the link to Solution Builder's online solutions manual.

Text-Specific Videos on DVD  (ISBN-10: 0495826642 | ISBN-13: 9780495826644)

These text-specific instructional videos provide students with visual reinforcement of concepts and explanations, given in easy-to-understand terms with detailed examples and sample problems. A flexible format offers versatility for quickly accessing topics or catering lectures to self-paced, online, or hybrid courses. Closed captioning is provided for the hearing impaired.

Complete Solutions Manual  (ISBN-10: 0495826650 | ISBN-13: 9780495826651)

The complete Solutions manual includes solutions for every problem in the text.

Test Bank  (ISBN-10: 1111989893 | ISBN-13: 9781111989897)

Save time with this accurate Test Bank that offers multiple tests per chapter as well as final exams. The tests combine multiple-choice, free-response, and fill-in-the-blank questions for your convenience.

Student Solutions Manual  (ISBN-10: 0495826669 | ISBN-13: 9780495826668)

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 = $69.95  | CengageBrain Price = $69.95  | College Bookstore Wholesale Price = $52.50

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: 0495826669 | ISBN-13: 9780495826668)

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, giving you the information you need to truly understand how these problems are solved.

List Price = $69.95  | CengageBrain Price = $69.95  | College Bookstore Wholesale Price = $52.50

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

Karla Neal

Karla Neal received two degrees in mathematics from Louisiana State University and has been an instructor in the department of Mathematics for 31 years. During that time, she has served as the coordinator for College Trigonometry for more than 15 years. She has received three campus-wide teaching awards, and has served as a faculty advisor for several Christian campus organizations. Karla is an avid fan of the LSU Tigers. When she is not on campus, she is very active in her church, Healing Place Church in Baton Rouge, and can often be found on the golf course. At home, there are two dogs, Winston and Josie, waiting patiently.

R. David Gustafson

R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.

Jeff Hughes

Jeff Hughes has taught the college algebra course continually for the past 20 years, and his firsthand experience with students lends itself to the innovative ideas he has brought to the text. He has led the way for the addition of the new features and the revised content in COLLEGE ALGEBRA, 10E. He teaches at Hinds Community College in Mississippi.