## Calculus with CalcChat and CalcView 11th edition.

With a long history of innovation in the market, Larson/Edwards’ CALCULUS has been widely praised by a generation of students and professors for solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title in the series is one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. This new edition is now supported by WebAssign, the powerful online homework and course management system that engages students in learning math.

This item is in digital format, not a physical book. It’s compatible with all devices. Instant delivery upon purchase.

## Table of contacts:

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 Review of Trigonometric Functions

Review Exercises

P.S. Problem Solving

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

Review Exercises

P.S. Problem Solving

2 Differentiation

2.1 The Derivative and the Tangent Line Problem

2.2 Basic Differentiation Rules and Rates of Change

2.3 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

Review Exercises

P.S. Problem Solving

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: Even Fourth-Degree Polynomials

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: Minimum Time

3.8 Newton’s Method

3.9 Differentials

Review Exercises

P.S. Problem Solving

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

Review Exercises

P.S. Problem Solving

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 Indeterminate Forms and L’Hôpital’s Rule

5.7 Inverse Trigonometric Functions: Differentiation

5.8 Inverse Trigonometric Functions: Integration

5.9 Hyperbolic Functions

Section Project: Mercator Map

Review Exercises

P.S. Problem Solving

6 Differential Equations

6.1 Slope Fields and Euler’s Method

6.2 Growth and Decay

6.3 Separation of Variables and the Logistic Equation

6.4 First-Order Linear Differential Equations

Section Project: Weight Loss

Review Exercises

P.S. Problem Solving

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: Pyramid of Khufu

7.6 Moments, Centers of Mass, and Centroids

7.7 Fluid Pressure and Fluid Force

Review Exercises

P.S. Problem Solving

8 Integration Techniques and Improper Integrals

8.1 Basic Integration Rules

8.2 Integration by Parts

8.3 Trigonometric Integrals

Section Project: The Wallis Product

8.4 Trigonometric Substitution

8.5 Partial Fractions

8.6 Numerical Integration

8.7 Integration by Tables and Other Integration Techniques

8.8 Improper Integrals

Review Exercises

P.S. Problem Solving

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

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

Review Exercises

P.S. Problem Solving

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: Cassini Oval

10.5 Area and Arc Length in Polar Coordinates

10.6 Polar Equations of Conics and Kepler’s Laws

Review Exercises

P.S. Problem Solving

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

Review Exercises

P.S. Problem Solving

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

Review Exercises

P.S. Problem Solving

13 Functions of Several Variables

13.1 Introduction to Functions of Several Variables

13.2 Limits and Continuity

13.3 Partial Derivatives

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

Section Project: Building a Pipeline

13.10 Lagrange Multipliers

Review Exercises

P.S. Problem Solving

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: Surface Area in Polar Coordinates

14.6 Triple Integrals and Applications

14.7 Triple Integrals in Other Coordinates

Section Project: Wrinkled and Bumpy Spheres

14.8 Change of Variables: Jacobians

Review Exercises

P.S. Problem Solving

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

Review Exercises

P.S. Problem Solving

Appendices

Appendix A: Proofs of Selected Theorems

Appendix B: Integration Tables

Appendix C: Precalculus Review (Online)*

Appendix D: Rotation and the General Second-Degree

Equation (Online)*

Appendix E: Complex Numbers (Online)*

Appendix F: Business and Economic Applications (Online)*

Appendix G: Fitting Models to Data (Online)*

Answers to All Odd-Numbered Exercises

Index

## About the Author

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 a Professor of Mathematics at the University of Florida. Professor Edwards received his B.S. in Mathematics from Stanford University and his Ph.D. from Dartmouth College. He taught mathematics at a university near Bogot, 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 co-authored a wide range of award-winning mathematics textbooks with Professor Ron Larson.

## Reviews about the ebook:

- Samantha Ramirez:

Great! exactly what I was asking for. It is a reliable rental and is affordable. Definitely consider using amazon rentals. The textbook is new and if you were wondering, it does have all chapters for the entire calculus curriculum (cal 1,2, and 3). It will not include an access code if you were looking for that. - Neal Aggarwal:

I have nearly ALL of the Larson books and just upgraded this one to the 10th edition ($160+shipping+YIKES!). This is THE BEST math book I have on my shelf. Once in a while, a book enters my life that changes me forever. This book (in its much earlier edition of course) did just that. I cannot recommend it enough. - Amanda:

I bought the paperback and I’m quite surprised they can format it in paperback because it is a heavy book, over 5 pounds! But the book came in on time and everything was great. It covers college calculus 1-3 so a good investment. - Banon:

I bought this book as an e-book. Dr.Larson explains every single thing in detail. It’s very helpful. - Patrick:

This text is excellent as an introduction to the topics – I definitely prefer it over Thomas, and while I like Stewart’s, Larson’s has much better visuals. I’m not sure why other reviewers find this to be a difficult text – it seems to be the more accessible of the ‘Big 3’. True, it’s not the most rigorous out there (see Spivak’s Calculus on Manifolds), but for students seeking a balanced, comprehensive, and approachable beginning text, I vote for Larson. - Bob Week:

A beautiful book with a wide variety of problems that will truly enhance your understanding of calculus and its applications. - Brahim Abakar:

I bought this book for College Calculus 1, It’s a good product and it came on time. I don’t regret spending like couple hundred bucks on this item. The only thing that I found Which should be improving is that book itself has a few practice exercises at the end of each topic, But there’s no answer for them. I’ll like to check out my answer but there’s no way to find out. Besides that, I’m so happy to get this book. B.A - Lou Rocamora:

Not the easiest book to use at first. The theory in earlier chapters is difficult to follow, and in many cases needs going through several times before the “aha!” moment. In some cases, I didn’t get said moment until Calc III, during bits of review. Theory in the latter part of the book is easier, as are the examples, though I’m not sure how much of that is from increased familiarity with both the subject and writing style. Homework is reasonably straightforward for the drill-type problems, but the word problems and proofs can be difficult to set up. Nor are the solutions manuals much assistance in this regard, either because the problem is even and not included, or because the worked-out solution skips steps that are not yet obvious to someone only recently introduced to them. They are not useless as study aids because you can still check basic setups for drills and check final answers, but as far as delineating how to work out those problems that are most useful in understanding the material they fall flat. - Nematode:

Clear examples and problems with personal explanations for exercise problems available on your smartphone QR scanner. Extremely helpful system for learning or reviewing Calculus. - Luca Campobasso:

Probably the best book covering calculus currently available, totally recommended and worth behold lifelong.

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