Calculus: Early Transcendental Functions, 5th Edition

  • Ron Larson The Pennsylvania State University, The Behrend College
  • Bruce H. Edwards University of Florida
  • ISBN-10: 0538735503
  • ISBN-13: 9780538735506
  • 1360 Pages Hardcover 
  • Previous Editions: 2007, 2003, 1999
  • © 2011 | Published
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About The Solution

Overview

Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/ Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the fifth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


Additional Product Information

What's New

  • New! Capstone Exercises: 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 Manual offers teaching tips on how one might use the Capstone Exercises in class.
  • Exercises – revised on actual usage: New exercises abound in the fifth edition of CALCULUS: EARLY TRANSCENTAL FUNCTIONS. 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.
  • Larson Join In Clicker can be found on the Instructor Companion Site.

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    ISBN-10: 1133103820 | ISBN-13: 9781133103820

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Table of Contents

1. PREPARATION FOR CALCULUS.
Graphs and Models. Linear Models and Rates of Change. Functions and Their Graphs. Fitting Models to Data. Inverse Functions. Exponential and Logarithmic Functions.
2. LIMITS AND THEIR PROPERTIES.
A Preview of Calculus. Finding Limits Graphically and Numerically. Evaluating Limits Analytically. Continuity and One-Sided Limits. Infinite Limits. Section Project: Graphs and Limits of Trigonometric Functions.
3. DIFFERENTIATION.
The Derivative and the Tangent Line Problem. Basic Differentiation Rules and Rates of Change. Product and Quotient Rules and Higher-Order Derivatives. The Chain Rule. Implicit Differentiation. Section Project: Optical Illusions. Derivatives of Inverse Functions. Related Rates. Newton's Method.
4. APPLICATIONS OF DIFFERENTIATION.
Extrema on an Interval. Rolle's Theorem and the Mean Value Theorem. Increasing and Decreasing Functions and the First Derivative Test. Section Project: Rainbows. Concavity and the Second Derivative Test. Limits at Infinity. A Summary of Curve Sketching. Optimization Problems. Section Project: Connecticut River. Differentials.
5. INTEGRATION.
Antiderivatives and Indefinite Integration. Area. Riemann Sums and Definite Integrals. The Fundamental Theorem of Calculus. Section Project: Demonstrating the Fundamental Theorem. Integration by Substitution. Numerical Integration. The Natural Logarithmic Function: Integration. Inverse Trigonometric Functions: Integration. Hyperbolic Functions. Section Project: St. Louis Arch.
6. DIFFERENTIAL EQUATIONS.
Slope Fields and Euler's Method. Differential Equations: Growth and Decay. Differential Equations: Separation of Variables. The Logistic Equation. First-Order Linear Differential Equations. Section Project: Weight Loss. Predator-Prey Differential Equations.
7. APPLICATIONS OF INTEGRATION.
Area of a Region Between Two Curves. Volume: The Disk Method. Volume: The Shell Method. Section Project: Saturn. Arc Length and Surfaces of Revolution. Work. Section Project: Tidal Energy. Moments, Centers of Mass, and Centroids. Fluid Pressure and Fluid Force.
8. Integration Techniques, L'Hôpital's Rule, and Improper Integrals.
Basic Integration Rules. Integration by Parts. Trigonometric Integrals. Section Project: Power Lines. Trigonometric Substitution. Partial Fractions. Integration by Tables and Other Integration Techniques. Indeterminate Forms and L'Hôpital's Rule. Improper Integrals.
9. INFINITE SERIES.
Sequences. Series and Convergence. Section Project: Cantor's Disappearing Table. The Integral Test and p-Series. Section Project: The Harmonic Series. Comparisons of Series. Section Project: Solera Method. Alternating Series. The Ratio and Root Tests. Taylor Polynomials and Approximations. Power Series. Representation of Functions by Power Series. Taylor and Maclaurin Series.
10. CONICS, PARAMETRIC EQUATIONS, AND POLAR COORDINATES.
Conics and Calculus. Plane Curves and Parametric Equations. Section Projects: Cycloids. Parametric Equations and Calculus. Polar Coordinates and Polar Graphs. Section Project: Anamorphic Art. Area and Arc Length in Polar Coordinates. Polar Equations of Conics and Kepler's Laws.
11. VECTORS AND THE GEOMETRY OF SPACE.
Vectors in the Plane. Space Coordinates and Vectors in Space. The Dot Product of Two Vectors. The Cross Product of Two Vectors in Space. Lines and Planes in Space. Section Project: Distances in Space. Surfaces in Space. Cylindrical and Spherical Coordinates.
12. VECTOR-VALUED FUNCTIONS.
Vector-Valued Functions. Section Project: Witch of Agnesi. Differentiation and Integration of Vector-Valued Functions. Velocity and Acceleration. Tangent Vectors and Normal Vectors. Arc Length and Curvature.
13. FUNCTIONS OF SEVERAL VARIABLES.
Introduction to Functions of Several Variables. Limits and Continuity. Partial Derivatives. Section Project: Moire Fringes. Differentials. Chain Rules for Functions of Several Variables. Directional Derivatives and Gradients. Tangent Planes and Normal Lines. Section Project: Wildflowers. Extrema of Functions of Two Variables. Applications of Extrema of Functions of Two Variables. Section Project: Building a Pipeline. Lagrange Multipliers.
14. MULTIPLE INTEGRATION.
Iterated Integrals and Area in the Plane. Double Integrals and Volume. Change of Variables: Polar Coordinates. Center of Mass and Moments of Inertia. Section Project: Center of Pressure on a Sail. Surface Area. Section Project: Capillary Action. Triple Integrals and Applications. Triple Integrals in Cylindrical and Spherical Coordinates. Section Project: Wrinkled and Bumpy Spheres. Change of Variables: Jacobians.
15. VECTOR ANALYSIS.
Vector Fields. Line Integrals. Conservative Vector Fields and Independence of Path. Green's Theorem. Section Project: Hyperbolic and Trigonometric Functions. Parametric Surfaces. Surface Integrals. Section Project: Hyperboloid of One Sheet. Divergence Theorem. Stoke's Theorem.

Supplements

Instructor Supplements

Instructor Supplements

All supplements have been updated in coordination with the main title. Select the main title’s "About the Solution" 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.

Calculus: Early Transcendentals Functions (AP® Edition)  (ISBN-10: 0538497173 | ISBN-13: 9780538497176)

Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/ Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the fifth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


Calculus: Early Transcendental Functions, Hybrid  (ISBN-10: 1133103820 | ISBN-13: 9781133103820)

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! Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS HYBRID, 5/e, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/ Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the fifth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS HYBRID, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


Adobe PDF eBook on CD  (ISBN-10: 0538497165 | ISBN-13: 9780538497169)


Premium eBook Instant Access Code  (ISBN-10: 0538739177 | ISBN-13: 9780538739177)


Instructor's Complete Solutions Manual, Volume 2 (Chapters 7-10)  (ISBN-10: 0538739193 | ISBN-13: 9780538739191)

This manual includes worked out solutions to every exercise in Larson's Single Variable Calculus: Early Transcendental Functions, 5e (Chapters P-11 of Larson's Calculus: Early Transcendental Functions, 5e).


Complete Solutions Manual, Volume 1 (Chapters 1-6)  (ISBN-10: 0538739185 | ISBN-13: 9780538739184)

This manual includes worked out solutions to every exercise in Larson's Single Variable Calculus: Early Transcendental Functions, 5e (Chapters P-11 of Larson's Calculus: Early Transcendental Functions, 5e).


Solutions Builder  (ISBN-10: 0538757132 | ISBN-13: 9780538757133)

This flexible, personalized online tool lets you easily build and save your own personal solution sets either for printing or posting on password-protected class websites.


PowerLecture DVD  (ISBN-10: 0538739215 | ISBN-13: 9780538739214)


Instructor's Resource Manual, Calc: ET  (ISBN-10: 0538736704 | ISBN-13: 9780538736701)


Student Solutions Manual, Volume 1 (Chapters P-11)  (ISBN-10: 0538739207 | ISBN-13: 9780538739207)

This manual includes worked out solutions to every odd-numbered exercise in Larson's Single Variable Calculus: Early Transcendental Functions, 5e (Chapters P-11 of Larson's Calculus: Early Transcendental Functions, 5e).


DVD, Calc: ET  (ISBN-10: 0538736364 | ISBN-13: 9780538736367)


Single Variable Calculus: Early Transcendental Functions, Hybrid  (ISBN-10: 1133103790 | ISBN-13: 9781133103790)

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! Designed for the three-semester engineering calculus course, SINGLE VARIABLE CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS HYBRID, 5/e, offers students innovative learning resources. Every edition from the first to the fifth of SINGLE VARIABLE CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS HYBRID, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


ExamView®  (ISBN-10: 113310875X | ISBN-13: 9781133108757)


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

IMPORTANT: When purchasing this instant access code for Calculus, ensure that you are using it in a Calculus course. 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.


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).


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).


Student Supplements

Student Supplements

All supplements have been updated in coordination with the main title. Select the main title’s "About the Solution" 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.

Calculus: Early Transcendentals Functions (AP® Edition)  (ISBN-10: 0538497173 | ISBN-13: 9780538497176)

Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/ Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the fifth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


Calculus: Early Transcendental Functions, Hybrid  (ISBN-10: 1133103820 | ISBN-13: 9781133103820)

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! Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS HYBRID, 5/e, offers students innovative learning resources. Every edition from the first to the fifth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS HYBRID, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


Premium eBook Instant Access Code  (ISBN-10: 0538739177 | ISBN-13: 9780538739177)


Mathematics CourseMate with eBook Instant Access Code  (ISBN-10: 1111525099 | ISBN-13: 9781111525095)

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: EARLY TRANSCENDENTAL FUNCTIONS, 5th Edition.


Student Solutions Manual, Volume 1 (Chapters P-11)  (ISBN-10: 0538739207 | ISBN-13: 9780538739207)

This manual includes worked out solutions to every odd-numbered exercise in Larson's Single Variable Calculus: Early Transcendental Functions, 5e (Chapters P-11 of Larson's Calculus: Early Transcendental Functions, 5e).


DVD, Calc: ET  (ISBN-10: 0538736364 | ISBN-13: 9780538736367)


Fast Track to a Five  (ISBN-10: 0538757116 | ISBN-13: 9780538757119)


Maple Student Version 14.0  (ISBN-10: 1111425884 | ISBN-13: 9781111425883)


Single Variable Calculus: Early Transcendental Functions, Hybrid  (ISBN-10: 1133103790 | ISBN-13: 9781133103790)

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 online in Enhanced WebAssign®. The result—a briefer printed text that engages students online! Designed for the three-semester engineering calculus course, SINGLE VARIABLE CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS HYBRID, 5/e, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the fourth of SINGLE VARIABLE CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS HYBRID, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


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

IMPORTANT: When purchasing this instant access code for Calculus, ensure that you are using it in a Calculus course. 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.


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).


Bundle: Text + DVD  (ISBN-10: 1111194521 | ISBN-13: 9781111194529)

Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, offers students innovative learning resources. Every edition from the first to the fifth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


Bundle: Text + Note Taking Guide  (ISBN-10: 1111194513 | ISBN-13: 9781111194512)

Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, offers students innovative learning resources. Every edition from the first to the fifth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


Bundle: Text (Calc: ET) + Student Solutions Manual, Vol. 1  (ISBN-10: 1111289514 | ISBN-13: 9781111289515)

Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, offers students innovative learning resources. Every edition from the first to the fifth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


Bundle: Text (Calc:ET) + Enhanced WebAssign Homework and eBook Printed Access Card for Multi Term Math and Science  (ISBN-10: 053846304X | ISBN-13: 9780538463041)

Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, offers students innovative learning resources. Every edition from the first to the fifth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


Bundle: Text (Calc:ET) + Enhanced WebAssign Homework Printed Access Card for Multi Term Math and Science  (ISBN-10: 0538463058 | ISBN-13: 9780538463058)

Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, offers students innovative learning resources. Every edition from the first to the fifth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


Bundle: Text (Calc: ET) + Maple Student Version 13.0  (ISBN-10: 111102815X | ISBN-13: 9781111028152)

Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, offers students innovative learning resources. Every edition from the first to the fifth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


Bundle: Text, Calc: ET + Maple Student Version 14.0  (ISBN-10: 1111498881 | ISBN-13: 9781111498887)

Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, offers students innovative learning resources. Every edition from the first to the fifth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


Bundle: Text (Calc: ET) + CourseMate with eBook Printed Access Card  (ISBN-10: 1111618941 | ISBN-13: 9781111618940)

Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e, offers students innovative learning resources. Every edition from the first to the fifth of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 5/e has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.


Meet the Author

About 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 2013 Text and Academic Authors Association Award for CALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, the 2011 William Holmes McGuffey Longevity Award for PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, 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.