Higher Education

Brief Calculus: An Applied Approach, Hybrid, 9th Edition

  • includes Enhanced WebAssign with eBook LOE Printed Access Card for One-Term Math and Science
  • Ron Larson The Pennsylvania State University, The Behrend College
  • ISBN-10: 1133365140  |  ISBN-13: 9781133365143
  • 544 Pages
  • © 2013 | Published
  • College Bookstore Wholesale Price = $104.50



Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, this new hybrid edition features the instructional presentation found in the printed text while delivering end-of-section exercises online in Enhanced WebAssign. The result—a briefer printed text that engages students online! Designed specifically for business, economics, or life/social sciences majors, BRIEF CALCULUS: AN APPLIED APPROACH, Ninth Edition, motivates students while fostering understanding and mastery. This brief book emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to students' diverse interests. The Ninth Edition builds upon its applications emphasis through updated exercises and relevant examples. Pedagogical features--from algebra review to study tips--continue to provide extra guidance and practice. In addition, the BRIEF CALCULUS program offers a strong support package--including Enhanced WebAssign® and the book's website, CourseMate--that allows students to review the material independently and retain key concepts.

Features and Benefits

  • Every section begins with a list of objectives that highlights the learning outcomes of that section and provides instructors with a tool for lesson planning.
  • Appearing in the middle of each chapter, Mid-Chapter Quizzes are single-page tests that let students practice skills and concepts learned in the chapter. This opportunity for self-assessment helps uncover potential weaknesses that might require further review of the material.
  • Revised! Section-ending Business Capsules and accompanying exercises address business situations related to the mathematical concepts covered in the chapter.
  • Revised! At the beginning of each exercise set, Skills Warm Up exercises give students practice of skills covered in previous sections that are used in the exercise set; answers are provided at the back of the text to reinforce understanding.
  • Revised! The Exercise Sets have been revised based on actual student usage data to improve student comprehension. More than 3,500 exercises progress from skill-development problems to more challenging, real-world applications --all of which can be customized to the difficulty level of the instructor's choice.
  • A wide variety of relevant examples--each of which is titled for easy reference--includes solutions presented graphically, analytically, and/or numerically to provide further insight into mathematical concepts. Examples that illustrate real-life situations are identified with an icon.
  • For instructors who wish to incorporate technology, optional Tech Tutor boxes provide guidance on using technology to ease lengthy calculations, present a graphical solution, or discuss where using technology can lead to misleading or wrong solutions. In addition, exercises requiring technology are identified with a graphing calculator icon.

Table of Contents

The Cartesian Plane and the Distance Formula. Graphs of Equations. Lines in the Plane and Slope. Functions. Limits. Continuity.
The Derivative and the Slope of a Graph. Some Rules for Differentiation. Rates of Change: Velocity and Marginals. The Product and Quotient Rules. The Chain Rule.
Higher-Order Derivatives. Implicit Differentiation. Related Rates.
Increasing and Decreasing Functions. Extrema and the First-Derivative Test. Concavity and the Second-Derivative Test. Optimization Problems. Business and Economics Applications. Asymptotes. Curve Sketching: A Summary. Differentials and Marginal Analysis.
Exponential Functions. Natural Exponential Functions. Derivatives of Exponential Functions. Logarithmic Functions. Derivatives of Logarithmic Functions. Exponential Growth and Decay.
Antiderivatives and Indefinite Integrals. Integration by Substitution and the General Power Rule. Exponential and Logarithmic Integrals. Area and the Fundamental Theorem of Calculus. The Area of a Region Bounded by Two Graphs. The Definite Integral as the Limit of a Sum.
Integration by Parts and Present Value. Integration Tables. Numerical Integration. Improper Integrals.
The Three-Dimensional Coordinate System. Surfaces in Space. Functions of Several Variables. Partial Derivatives. Extrema of Functions of Two Variables. Lagrange Multipliers. Least Squares Regression Analysis. Double Integrals and Area in the Plane.
Applications of Double Integrals.
Appendix A. Precalculus Review.
The Real Number Line and Order. Absolute Value and Distance on the Real Number Line. Exponents and Radicals. Factoring Polynomials. Fractions and Rationalization.
Appendix B. Alternative Introduction to the Fundamental Theorem of Calculus.
Appendix C. Formulas.

What's New

  • NEW! The hybrid edition of the text provides a less-expensive, shorter option for students. End-of-section exercises are omitted from the text and appear online only. The hybrid edition is packaged with Enhanced WebAssign and the Cengage YouBook.
  • New! A Summarize feature guides students in creating section-level concept summaries-- helping them process and organize key concepts while providing a valuable study tool.
  • New! How Do You See It? exercises ask students to draw conclusions about information presented visually. Requiring little or no calculation, these exercises check students' conceptual understanding of key concepts.
  • New and Updated! Projects, which appear in selected sections, connect real-life data and applications and give your students the opportunity to generate and analyze mathematical models from large data sets.
  • New! CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Watch student comprehension soar as your class works with the printed textbook and the textbook-specific website.


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

Complete Solutions Manual  (ISBN-10: 1133364322 | ISBN-13: 9781133364320)

Contains fully worked-out solutions to all exercises in the text.

PowerLecture  (ISBN-10: 113336473X | ISBN-13: 9781133364733)

Student Solutions Manual  (ISBN-10: 113311279X | ISBN-13: 9781133112792)

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 - Start Smart Guide for Students  (ISBN-10: 0495384798 | ISBN-13: 9780495384793)

This guide helps students navigate Enhanced WebAssign. It includes instructions on how to use the Assignment page and its Summary, tips on using MathPad for providing easy input of math notation and symbols, an overview of the Graphing Utility's drawing tools for completing graphing assignments, and information on how to access grades and scores summary.

List Price = $50.95  | CengageBrain Price = $50.95  | College Bookstore Wholesale Price = $38.25

Student Supplements

Student Solutions Manual  (ISBN-10: 113311279X | ISBN-13: 9781133112792)

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 - Start Smart Guide for Students  (ISBN-10: 0495384798 | ISBN-13: 9780495384793)

If your instructor has chosen to package Enhanced WebAssign with your text, this manual will help you get up and running quickly with the Enhanced WebAssign system so you can study smarter and improve your performance in class.

List Price = $50.95  | CengageBrain Price = $50.95  | College Bookstore Wholesale Price = $38.25

Meet the Author

Author Bio

Ron Larson

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.