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Calculus of a Single Variable: Early Transcendental Functions,
7th Edition

Ron Larson, Bruce H. Edwards

ISBN-13: 9781337552523 | ISBN-10: 1337552526

Copyright 2019

| Published 2018

| 1312 pages

List Price USD $249.95

Overview

For the 7th Edition of CALCULUS OF A SINGLE VARIABLE: EARLY TRANSCENDENTAL FUNCTIONS, the companion website LarsonCalculus.com offers free access to multiple tools and resources to supplement your learning. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text. The website CalcChat.com presents free solutions to odd-numbered exercises in the text. The site currently has over 1 million hits per month, so the authors analyzed these hits to see which exercise solutions you were accessing most often. They revised and refined the exercise sets based on this analysis. The result is the only calculus book on the market that uses real data about its exercises to address your needs.

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Meet the Authors

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Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series published by Cengage. He is the recipient of the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS, the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS and the 2017 William Holmes McGuffey Longevity Award for CALCULUS. He also received 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. 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.

  • More conceptual exercises have been added to help students better understand the concepts being taught in each section.
  • The Section Projects have been carefully and extensively examined to ensure they are rigorous and relevant. The authors have added and revised a number of these projects.
  • Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text. The selected textbook exercises will have a QR code next to the exercise number for easy access via a smart phone.
  • Exercise Sets - The exercise sets have been carefully and extensively reviewed to ensure they are rigorous and relevant with thorough topic coverage. Multi-step, real-life exercises reinforce problem-solving skills and mastery of concepts by letting you apply the concepts in real-life situations. Putnam Exam questions appear in selected sections to push the limits of students’ understanding of calculus. Graphing technology exercises for students to make us of a graphing utility to help find solutions.
  • HOW DO YOU SEE IT? Exercises - The How Do You See It? exercise in each section presents a problem that students will solve by visual inspection using the concepts learned in the lesson.
  • Remarks - These hints and tips can be used to reinforce or expand upon concepts, help students learn how to study mathematics, caution them about common errors, address special cases, or show alternative or additional steps to a solution of an example.
  • LarsonCalculus.com – The authors created a free website hosting valuable resources. At this website, students can access the following: Proof Videos – Watch co-author Bruce Edwards present theorems and explain their proofs. Calculus Videos – Watch Dana Mosely explain concepts of calculus. Interactive Examples – Explore examples using Wolfram’s free CDF player (plug-in required). Rotatable Graphs – View and rotate three-dimensional graphs using Wolfram’s free CDF player (plug-in required).
  • 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 or not an item is graded. An electronic gradebook helps instructors manage course information easily and can be exported to other files, such as Excel.
  • WebAssign Course: The Larson WebAssign course has over 3,900 textbook questions drawn from the book, that offer more coverage of problems and topics than most online homework programs for Calculus. The WebAssign 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 Talk to a Tutor links. These tools benefit students with varied learning styles to ensure they get the most out of their online learning experience.

Table of Contents

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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. Review Exercises. P.S. Problem Solving.
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. Review Exercises. P.S. Problem Solving.
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. Review Exercises. P.S. Problem Solving.
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. Review Exercises. P.S. Problem Solving.
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. Review Exercises. P.S. Problem Solving.
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. Review Exercises. P.S. Problem Solving.
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. Review Exercises. P.S. Problem Solving.
8. INTEGRATION TECHNIQUES, L'HOPITAL'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'Hopital's Rule. Improper Integrals. Review Exercises. P.S. Problem Solving.
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. Review Exercises. P.S. Problem Solving.
10. CONICS, PARAMETRIC EQUATIONS, AND POLAR COORDINATES.
Conics and Calculus. Plane Curves and Parametric Equations. Section Project: 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. Review Exercises. P.S. Problem Solving.
Appendix A: Proofs of Selected Theorems (Online).
Appendix B: Integration Tables.
Appendix C: Pre-calculus Review (Online).
Appendix C1: Real Numbers and the Real Number Line.
Appendix C2: The Cartesian Plane.
Appendix C3: Review of Trigonometric Functions.
Appendix D: Rotation and the General Second-Degree Equation (Online).
Appendix E: Complex Numbers (Online).

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

Cengage Testing, powered by Cognero® for Larson's Calculus: Early Transcendental Functions, Instant Access

ISBN13:9781337552899
ISBN10:1337552895
Cengage Testing Powered by Cognero® is a flexible, online system that allows you to: import, edit, and manipulate content from the text's test bank or elsewhere, including your own favorite test questions; create multiple test versions in an instant; and deliver tests from your LMS, your classroom, or wherever you want.

Student Solutions Manual for Larson/Edwards' Calculus of a Single Variable: Early Transcendental Functions, 2nd

ISBN13:9781337552561
ISBN10:1337552569
Student Solutions Manual for Calculus of a Single Variable: Early Transcendental Functions

Complete Solutions Manual, Volume 1 for Larson/Edwards' Calculus of a Single Variable: Early Transcendental Functions, 2nd

ISBN13:9781337552646
ISBN10:133755264X
Complete Solutions Manual, Volume 1

Complete Solutions Manual, Volume 2 for Larson/Edwards' Calculus of a Single Variable: Early Transcendental Functions, 2nd

ISBN13:9781337552653
ISBN10:1337552658
Complete Solutions Manual, Volume 2

Instructor's Edition for Larson's Calculus of a Single Variable: Early Transcendental Functions, 2nd

ISBN13:9781337552660
ISBN10:1337552666
Instructor Sample/Review copy of Larson's CALCULUS OF A SINGLE VARIABLE: EARLY TRANSCENDENTAL FUNCTIONS, 7th Edition

Online Test Bank for Larson/Edwards' Calculus: Early Transcendental Functions, 7th

ISBN13:9781337552677
ISBN10:1337552674
Organize your course and capture your students' attention with the resources found in the Test Bank.

Cengage Testing, powered by Cognero® for Larson's Calculus: Early Transcendental Functions

ISBN13:9781337552868
ISBN10:1337552860
Cengage Testing Powered by Cognero® is a flexible, online system that allows you to: import, edit, and manipulate content from the text's test bank or elsewhere, including your own favorite test questions; create multiple test versions in an instant; and deliver tests from your LMS, your classroom, or wherever you want.

Instructor Companion Website for Larson/Edwards' Calculus: Early Transcendental Functions, 7th

ISBN13:9781337552981
ISBN10:1337552984
Instructor's Website

Instructor's Resource Guide for Larson/Edwards' Calculus: Early Transcendental Functions, 7th

ISBN13:9781337553018
ISBN10:1337553018
Contains a variety of resources to help you prepare and present text material in a manner that meets your personal preferences and course needs. It provides suggested homework assignments, teaching tips, worked out examples, and chapter projects.

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Calculus of a Single Variable

  • ISBN-10: 1337552526
  • ISBN-13: 9781337552523

Price USD$ 249.95

Calculus of a Single Variable: Early Transcendental Functions, International Metric Edition

  • ISBN-10: 1337782440
  • ISBN-13: 9781337782449

Price USD$ 249.95

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