Professional

# Calculus, 9th Edition

• Ron Larson The Pennsylvania State University, The Behrend College
• Bruce H. Edwards University of Florida
• ISBN-10: 0547167024  |  ISBN-13: 9780547167022
• 1328 Pages
• Previous Editions: 2006, 2002, 1998
• List Price = \$ 353.95
• For quantity discounts, Contact your Representative
• For single copy purchases, visit CengageBrain.com

### Overview

The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

### Features and Benefits

• Graded Homework Exercises— Online homework and tests are evaluated using powerful Maple software to ensure mathematical accuracy. Instructors control point values, weighting grades, and whether of not an item is graded. An electronic gradebook helps instructors manage course information easily and can be exported to other files, such as Excel.
• CAS Investigation: Many examples throughout the book are accompanied by CAS Investigations. These are collaborative investigations using a computer algebra system (e.g., Maple) to further explore the related example. CAS Investigations are located online and in the Multimedia eBook
• Instructor Resource Guide w/Solutions—The instructor’s resource contains an abundance of resources keyed to the textbook by chapter and section, including chapter summaries, teaching strategies, multiple versions of chapter tests, final exams, gateway tests, and suggested solutions to the Chapter Openers, Explorations, Section Projects, and Technology features in the text.

Chapter P: Preparation for Calculus.
P.1 Graphs and Models. P.2 Linear Models and Rates of Change. P.3 Functions and Their Graphs
P.4 Fitting Models to Data.
Chapter 1: Limits and Their Properties.
1.1 A Preview of Calculus. 1.2 Finding Limits Graphically and Numerically. 1.3 Evaluating Limits Analytically. 1.4 Continuity and One-Sided Limits. 1.5 Infinite Limits. Section Project: Graphs and Limits of Trigonometric Functions.
Chapter 2: Differentiation.
2.1 The Derivative and the Tangent Line Problem. 2.2 Basic Differentiation Rules and Rates of Change. 2.3 The Product and Quotient Rules and Higher-Order Derivatives. 2.4 The Chain Rule. 2.5 Implicit Differentiation. Section Project: Optical Illusions. 2.6 Related Rates.
Chapter 3: Applications of Differentiation.
3.1 Extrema on an Interval. 3.2 Rolle''s Theorem and the Mean Value Theorem. 3.3 Increasing and Decreasing Functions and the First Derivative Test. Section Project: Rainbows. 3.4 Concavity and the Second Derivative Test. 3.5 Limits at Infinity. 3.6 A Summary of Curve Sketching. 3.7 Optimization Problems. Section Project: Connecticut River. 3.8 Newton''s Method. 3.9 Differentials.
Chapter 4: Integration.
4.1 Antiderivatives and Indefinite Integration. 4.2 Area. 4.3 Riemann Sums and Definite Integrals. 4.4 The Fundamental Theorem of Calculus. Section Project: Demonstrating the Fundamental Theorem. 4.5 Integration by Substitution. 4.6 Numerical Integration.
Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions.
5.1 The Natural Logarithmic Function: Differentiation. 5.2 The Natural Logarithmic Function: Integration. 5.3 Inverse Functions. 5.4 Exponential Functions: Differentiation and Integration. 5.5 Bases Other than e and Applications. Section Project: Using Graphing Utilities to Estimate Slope. 5.6 Inverse Trigonometric Functions: Differentiation. 5.7 Inverse Trigonometric Functions: Integration. 5.8 Hyperbolic Functions. Section Project: St. Louis Arch.
Chapter 6: Differential Equations.
6.1 Slope Fields and Euler''s Method. 6.2 Differential Equations: Growth and Decay. 6.3 Separation of Variables and the Logistic Equation. 6.4 First-Order Linear Differential Equations. Section Project: Weight Loss.
Chapter 7: Applications of Integration.
7.1 Area of a Region Between Two Curves. 7.2 Volume: The Disk Method. 7.3 Volume: The Shell Method. Section Project: Saturn. 7.4 Arc Length and Surfaces of Revolution. 7.5 Work. Section Project: Tidal Energy. 7.6 Moments, Centers of Mass, and Centroids. 7.7 Fluid Pressure and Fluid Force.
Chapter 8: Integration Techniques, L''Hopital''s Rule, and Improper Integrals.
8.1 Basic Integration Rules. 8.2 Integration by Parts. 8.3 Trigonometric Integrals. Section Project: Power Lines. 8.4 Trigonometric Substitution. 8.5 Partial Fractions. 8.6 Integration by Tables and Other Integration Techniques. 8.7 Indeterminate Forms and L''Hopital''s Rule.
Chapter 9: Infinite Series.
9.1 Sequences. 9.2 Series and Convergence. Section Project: Cantor''s Disappearing Table. 9.3 The Integral Test and p-Series. Section Project: The Harmonic Series. 9.4 Comparisons of Series. Section Project: Solera Method. 9.5 Alternating Series. 9.6 The Ratio and Root Tests. 9.7 Taylor Polynomials and Approximations. 9.8 Power Series. 9.9 Representation of Functions by Power Series. 9.10 Taylor and Maclaurin Series.
Chapter 10: Conics, Parametric Equations, and Polar Coordinates.
10.1 Conics and Calculus. 10.2 Plane Curves and Parametric Equations. Section Project: Cycloids. 10.3 Parametric Equations and Calculus. 10.4 Polar Coordinates and Polar Graphs. Section Project: Anamorphic Art. 10.5 Area and Arc Length in Polar Coordinates. 10.6 Polar Equations of Conics and Kepler''s Laws.
Chapter 11: Vectors and the Geometry of Space.
11.1 Vectors in the Plane. 11.2 Space Coordinates and Vectors in Space. 11.3 The Dot Product of Two Vectors. 11.4 The Cross Product of Two Vectors in Space. 11.5 Lines and Planes in Space. Section Project: Distances in Space. 11.6 Surfaces in Space. 11.7 Cylindrical and Spherical Coordinates.
Chapter 12: Vector-Valued Functions.
12.1 Vector-Valued Functions. Section Project: Witch of Agnesi. 12.2 Differentiation and Integration of Vector-Valued Functions. 12.3 Velocity and Acceleration. 12.4 Tangent Vectors and Normal Vectors. 12.5 Arc Length and Curvature.
Chapter 13: Functions of Several Variables.
13.1 Introduction to Functions of Several Variables. 13.2 Limits and Continuity. 13.3 Partial Derivatives. Section Project: Moiré Fringes. 13.4 Differentials. 13.5 Chain Rules for Functions of Several Variables. 13.6 Directional Derivatives and Gradients. 13.7 Tangent Planes and Normal Lines. Section Project: Wildflowers. 13.8 Extrema of Functions of Two Variables. 13.9 Applications of Extrema of Functions of Two Variables. Section Project: Building a Pipeline. 13.10 Lagrange Multipliers.
Chapter 14: Multiple Integration.
14.1 Iterated Integrals and Area in the Plane. 14.2 Double Integrals and Volume. 14.3 Change of Variables: Polar Coordinates. 14.4 Center of Mass and Moments of Inertia. Section Project: Center of Pressure on a Sail. 14.5 Surface Area. Section Project: Capillary Action. 14.6 Triple Integrals and Applications. 14.7 Triple Integrals in Cylindrical and Spherical Coordinates. Section Project: Wrinkled and Bumpy Spheres. 14.8 Change of Variables: Jacobians.
Chapter 15: Vector Analysis.
15.1 Vector Fields. 15.2 Line Integrals. 15.3 Conservative Vector Fields and Independence of Path. 15.4 Green''s Theorem. Section Project: Hyperbolic and Trigonometric Functions. 15.5 Parametric Surfaces. 15.6 Surface Integrals. Section Project: Hyperboloid of One Sheet. 15.7 Divergence Theorem. 15.8 Stokes''s Theorem. Section Project: The Planimeter.
Bonus Online Material.
Chapter 16: Additional Topics in Differential Equations (please visit URL to come).
16.1 Exact First-Order Equations. 16.2 Second-Order Homogeneous Linear Equations. 16.3 Second-Order Nonhomogeneous Linear Equations. Section Project: Parachute Jump. 16.4 Series Solutions of Differential Equations.
Book Appendices.
A. Proofs of Selected Theorems. B. Integration Tables.
Online Appendices.
C. Precalculus Review (please visit URL to come). C.1 Real Numbers and the Real Number Line. C.2 The Cartesian Plane. C.3 Review of Trigonometric Functions. D. Rotation and the General Second-Degree Equation (please visit URL to come). E. Complex Numbers (please visit URL to come). F Business and Economic Applications (please visit URL to come).

### What's New

• New! Capstone exercise: The Capstone is a new type of exercise that appears in every section. The exercise synthesizes the main concepts of the section and presents them in one exercise. They often contain computational and non-computational parts. These exercises are excellent to work through in class to present a topic for the first time or in class homework review. The Instructor’s Resource Guide offers teaching tips on how one might use the Capstone Exercises in class.
• Exercises—revised based on actual usage! New exercises abound in the ninth edition of CALCULUS. Based on analyses of actual student usage data, the exercise sets have been overhauled to improve student understanding. Many exercises were added, some were revised, and some were removed. The results are exercise sets that effectively address student learning needs.
• New! Second Order Differential Equations: Added as a new chapter to the multivariable standalone portion of the book and available online, this new chapter delves into second order differential equations. This will greatly help engineering and math majors.
• New! Enhanced WebAssign Course: The Larson EWA course has over 3,900 textbook questions which have been drawn from the book, and offer more coverage of problems and topics than most online homework programs for Calculus. The EWA course for Larson CALCULUS will present numerous section-level video lessons by Dana Mosely and animated tutorials. In addition to these assets, the course includes exercise-level features: Read It, Watch It, Master It, and Chat About It links. These tools benefit students with varied learning styles to ensure they get the most out of their online learning experience.
• Larson Join In Clicker can be found on the Instructor Companion Site.

• ### Hybrid Edition

ISBN-10: 1133103855 | ISBN-13: 9781133103851

List Price = \$190.95  | CengageBrain Price = \$190.95

### Bundle: Text + DVD: Lecture

ISBN-10: 1111119341  | ISBN-13: 9781111119348

List Price = \$436.95  | CengageBrain Price = \$436.95

### Bundle: Text + Enhanced WebAssign Homework and eBook Printed Access Card for Multi Term Math and Science

ISBN-10:  0538780819  | ISBN-13:  9780538780810

List Price = \$380.95

### Bundle: Text + Enhanced WebAssign - Start Smart Guide for Students + Enhanced WebAssign Homework and eBook Printed Access Card for Multi Term Math and Science

ISBN-10:  053846268X  | ISBN-13:  9780538462686

List Price = \$373.95

### Bundle: Text + DVD: Lecture + Enhanced WebAssign Homework and eBook Printed Access Card for Multi Term Math and Science

ISBN-10:  0538462485  | ISBN-13:  9780538462488

List Price = \$454.95

### Bundle: Text + Student Solutions Manual, Volume 1 and 2

ISBN-10:  0495786845  | ISBN-13:  9780495786849

List Price = \$573.95  | CengageBrain Price = \$573.95

### Bundle: Text + Enhanced WebAssign Homework Only One-Term Printed Access Card for Multiple-Term Math and Science

ISBN-10:  1111199337  | ISBN-13:  9781111199333

List Price = \$353.95

### Printed Text + Enhanced WebAssign Instant Access for Calculus, Multi-Term Courses

ISBN-10:  130560329X | ISBN-13:  9781305603295

List Price = \$380.95  | CengageBrain Price = \$380.95

## 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.

### Instructor Supplements

#### Calculus, Hybrid  (ISBN-10: 1133103855 | ISBN-13: 9781133103851)

Reflecting Cengage Learning’s commitment to offering flexible teaching solutions and value for students and instructors, these new hybrid versions feature 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! The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

List Price = \$190.95  | CengageBrain Price = \$190.95  | College Bookstore Wholesale Price = \$141.50

#### Single Variable Calculus, Hybrid  (ISBN-10: 113310388X | ISBN-13: 9781133103882)

Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, these new hybrid versions feature 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! The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

List Price = \$163.95  | CengageBrain Price = \$163.95  | College Bookstore Wholesale Price = \$121.50

#### PowerLecture (Reprint)  (ISBN-10: 0840069081 | ISBN-13: 9780840069085)

The Larson 9e PowerLecture contains the following: PowerPoint Lectures PowerPoint Images Image Library Instructor’s Manual Test Bank- Word Test Bank- PDF Diploma Testing Notetaking Guide Link to Solution Builder

#### Instructor's Complete Solutions Manual, Volume 1 (Chapters P-6)  (ISBN-10: 0547212984 | ISBN-13: 9780547212982)

This manual includes worked out solutions to every exercise in Calculus of a Single Variable, 9e (Chapters P-11 of Larson's Calculus, 9e).

#### Instructor's Complete Solutions Manual, Volume 2  (ISBN-10: 0547213018 | ISBN-13: 9780547213019)

This manual includes worked out solutions to every exercise in Calculus of a Single Variable, 9e (Chapters P-11 of Larson's Calculus, 9e).

#### DVD: Lecture  (ISBN-10: 0547213042 | ISBN-13: 9780547213040)

These instructional DVDs are particularly beneficial for students who have missed a lecture, need extra help understanding particular concepts, or want to review material for a test, and for those enrolled in online or hybrid courses with limited access to lectures. The video series has been expanded to offer more coverage across all three semesters of calculus.

List Price = \$82.95  | CengageBrain Price = \$82.95  | College Bookstore Wholesale Price = \$62.00

#### Printed Test Bank  (ISBN-10: 0547213115 | ISBN-13: 9780547213118)

The Test Item File contains a sample question for every algorithm in HM Testing.

List Price = \$14.95  | College Bookstore Wholesale Price = \$11.50

#### Complete Solutions Guide, Volume 3 (Print) (Chapters 11-16)  (ISBN-10: 0547213026 | ISBN-13: 9780547213026)

This manual includes worked out solutions to everyexercise in Multivariable Calculus, 9e (Chapters 11-16 of Larson's Calculus, 9e).

#### Note Taking Guide  (ISBN-10: 0547213085 | ISBN-13: 9780547213088)

This notebook organizer is designed to help students organize their notes, and provides section-by-section summaries of key topics and other helpful study tools.

List Price = \$77.95  | CengageBrain Price = \$77.95  | College Bookstore Wholesale Price = \$58.50

#### Student Solutions Manual, Volume 1 ( Chapters P-11)  (ISBN-10: 0547213093 | ISBN-13: 9780547213095)

This manual includes worked out solutions to every odd-numbered exercise in Calculus of a Single Variable, 9e (Chapters P-11 of Larson's Calculus, 9e).

List Price = \$109.95  | CengageBrain Price = \$109.95  | College Bookstore Wholesale Price = \$82.75

#### Student Solutions Manual, Volume 2 (Chapters 11-16)  (ISBN-10: 0547213107 | ISBN-13: 9780547213101)

This manual includes worked out solutions to every odd-numbered exercise in Multivariable Calculus, 9e (Chapters 11-16 of Larson's Calculus, 9e).

List Price = \$109.95  | CengageBrain Price = \$109.95  | College Bookstore Wholesale Price = \$82.75

#### Enhanced WebAssign Homework Only Printed Access Card for Math and Science  (ISBN-10: 1305408047 | ISBN-13: 9781305408043)

List Price = \$94.00  | CengageBrain Price = \$94.00  | College Bookstore Wholesale Price = \$70.50

#### Enhanced WebAssign Instant Access for Calculus, Multi-Term Courses  (ISBN-10: 1285858255 | ISBN-13: 9781285858258)

List Price = \$125.00  | CengageBrain Price = \$125.00  | College Bookstore Wholesale Price = \$125.00

#### Enhanced WebAssign Printed Access Card for Calculus, Multi-Term Courses, Life of Edition  (ISBN-10: 1285858263 | ISBN-13: 9781285858265)

List Price = \$125.00  | College Bookstore Wholesale Price = \$93.75

#### Mathematics CourseMate with eBook 3-Semester Instant Access Code  (ISBN-10: 1111569479 | ISBN-13: 9781111569471)

Cengage Learning's Mathematics CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Access an integrated eBook, learning tools including flashcards, quizzes, and more, all designed specifically to work with CALCULUS, 9th Edition.

List Price = \$283.00  | CengageBrain Price = \$283.00  | College Bookstore Wholesale Price = \$283.00

#### Downloadable PDF eBook Instant Access Code  (ISBN-10: 0547210183 | ISBN-13: 9780547210186)

List Price = \$76.00  | College Bookstore Wholesale Price = \$76.00

#### Adobe PDF eBook on CD  (ISBN-10: 0547213069 | ISBN-13: 9780547213064)

List Price = \$139.95  | College Bookstore Wholesale Price = \$104.00

#### CalcLabs with Maple for Single Variable Calculus  (ISBN-10: 0495560626 | ISBN-13: 9780495560623)

Maple is a powerful software tool for mathematical computations and visualization. The goal of this manual is to introduce Maple to students who are taking first year calculus. As such, Maple is a tool to solve problems that are too difficult to solve by hand. In addition, students will improve their understanding of the concepts of calculus. The order of the material is organized by computational topic and should be suitable for most texts on Single Variable calculus.

List Price = \$122.95  | CengageBrain Price = \$122.95  | College Bookstore Wholesale Price = \$92.50

#### CalcLabs with Maple for Multivariable Calculus  (ISBN-10: 0495560588 | ISBN-13: 9780495560586)

List Price = \$74.95  | College Bookstore Wholesale Price = \$56.50

#### CalcLabs with Mathematica, SV Calc.  (ISBN-10: 0495560634 | ISBN-13: 9780495560630)

This comprehensive lab manual helps students learn to effectively use the technology tools that are available to them. Each lab contains clearly explained exercises and a variety of lab projects to accompany the text.

List Price = \$126.95  | College Bookstore Wholesale Price = \$95.75

### Student Supplements

#### Calculus, Hybrid  (ISBN-10: 1133103855 | ISBN-13: 9781133103851)

Reflecting Cengage Learning’s commitment to offering flexible teaching solutions and value for students and instructors, these new hybrid versions feature 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! The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

List Price = \$190.95  | CengageBrain Price = \$190.95  | College Bookstore Wholesale Price = \$141.50

#### Single Variable Calculus, Hybrid  (ISBN-10: 113310388X | ISBN-13: 9781133103882)

Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, these new hybrid versions feature 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! The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

List Price = \$163.95  | CengageBrain Price = \$163.95  | College Bookstore Wholesale Price = \$121.50

#### Note Taking Guide  (ISBN-10: 0547213085 | ISBN-13: 9780547213088)

This notebook organizer is designed to help students organize their notes, and provides section-by-section summaries of key topics and other helpful study tools.

List Price = \$77.95  | CengageBrain Price = \$77.95  | College Bookstore Wholesale Price = \$58.50

#### Student Solutions Manual, Volume 1 ( Chapters P-11)  (ISBN-10: 0547213093 | ISBN-13: 9780547213095)

This manual includes worked out solutions to every odd-numbered exercise in Calculus of a Single Variable, 9e (Chapters P-11 of Larson's Calculus, 9e).

List Price = \$109.95  | CengageBrain Price = \$109.95  | College Bookstore Wholesale Price = \$82.75

#### Student Solutions Manual, Volume 2 (Chapters 11-16)  (ISBN-10: 0547213107 | ISBN-13: 9780547213101)

This manual includes worked out solutions to every odd-numbered exercise in Multivariable Calculus, 9e (Chapters 11-16 of Larson's Calculus, 9e).

List Price = \$109.95  | CengageBrain Price = \$109.95  | College Bookstore Wholesale Price = \$82.75

#### Enhanced WebAssign Homework Only Printed Access Card for Math and Science  (ISBN-10: 1305408047 | ISBN-13: 9781305408043)

List Price = \$94.00  | CengageBrain Price = \$94.00  | College Bookstore Wholesale Price = \$70.50

#### Enhanced WebAssign Instant Access for Calculus, Multi-Term Courses  (ISBN-10: 1285858255 | ISBN-13: 9781285858258)

List Price = \$125.00  | CengageBrain Price = \$125.00  | College Bookstore Wholesale Price = \$125.00

#### Enhanced WebAssign Printed Access Card for Calculus, Multi-Term Courses, Life of Edition  (ISBN-10: 1285858263 | ISBN-13: 9781285858265)

List Price = \$125.00  | College Bookstore Wholesale Price = \$93.75

#### Mathematics CourseMate with eBook 3-Semester Instant Access Code  (ISBN-10: 1111569479 | ISBN-13: 9781111569471)

Cengage Learning's Mathematics CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Access an integrated eBook, learning tools including flashcards, quizzes, and more, all designed specifically to work with CALCULUS, 9th Edition.

List Price = \$283.00  | CengageBrain Price = \$283.00  | College Bookstore Wholesale Price = \$283.00

#### Downloadable PDF eBook Instant Access Code  (ISBN-10: 0547210183 | ISBN-13: 9780547210186)

List Price = \$76.00  | College Bookstore Wholesale Price = \$76.00

#### Adobe PDF eBook on CD  (ISBN-10: 0547213069 | ISBN-13: 9780547213064)

List Price = \$139.95  | College Bookstore Wholesale Price = \$104.00

#### CalcLabs with Maple for Single Variable Calculus  (ISBN-10: 0495560626 | ISBN-13: 9780495560623)

Maple is a powerful software tool for mathematical computations and visualization. The goal of this manual is to introduce Maple to students who are taking first year calculus. As such, Maple is a tool to solve problems that are too difficult to solve by hand. In addition, students will improve their understanding of the concepts of calculus. The order of the material is organized by computational topic and should be suitable for most texts on Single Variable calculus.

List Price = \$122.95  | CengageBrain Price = \$122.95  | College Bookstore Wholesale Price = \$92.50

#### CalcLabs with Maple for Multivariable Calculus  (ISBN-10: 0495560588 | ISBN-13: 9780495560586)

List Price = \$74.95  | College Bookstore Wholesale Price = \$56.50

#### CalcLabs with Mathematica, SV Calc.  (ISBN-10: 0495560634 | ISBN-13: 9780495560630)

This comprehensive lab manual helps students learn to effectively use the technology tools that are available to them. Each lab contains clearly explained exercises and a variety of lab projects to accompany the text.

List Price = \$126.95  | College Bookstore Wholesale Price = \$95.75

## Meet the Author

### 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.

### Bruce H. Edwards

Dr. Bruce H. Edwards is Professor of Mathematics at the University of Florida. Professor Edwards received his B.S. in Mathematics from Stanford University and his Ph.D. in Mathematics from Dartmouth College. He taught mathematics at a university near Bogotá, Colombia, as a Peace Corps volunteer. While teaching at the University of Florida, Professor Edwards has won many teaching awards, including Teacher of the Year in the College of Liberal Arts and Sciences, Liberal Arts and Sciences Student Council Teacher of the Year, and the University of Florida Honors Program Teacher of the Year. He was selected by the Office of Alumni Affairs to be the Distinguished Alumni Professor for 1991–1993. Professor Edwards has taught a variety of mathematics courses at the University of Florida, from first-year calculus to graduate-level classes in algebra and numerical analysis. He has been a frequent speaker at research conferences and meetings of the National Council of Teachers of Mathematics. He has also coauthored a wide range of award winning mathematics textbooks with Professor Ron Larson.