# Calculus with Applications Books a la Carte Edition, 11th edition

Published by Pearson (December 17th 2015) - Copyright © 2016

11th edition

ISBN-13: 9780321979421

### What's included

## Overview

** Calculus with Applications, Eleventh Edition** by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to help them learn the material, such as Warm-Up Exercises and added “help text” within examples.

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## Table of contents

**R. Algebra Reference **

R-1 Polynomials

R-2 Factoring

R-3 Rational Expressions

R-4 Equations

R-5 Inequalities

R-6 Exponents

R-7 Radicals

**1. Linear Functions **

1-1 Slopes and Equations of Lines

1-2 Linear Functions and Applications

1-3 The Least Squares Line

Chapter Review

Extended Application: Using Extrapolation to Predict Life Expectancy

**2. Nonlinear Functions**

2-1 Properties of Functions

2-2 Quadratic Functions; Translation and Reflection

2-3 Polynomial and Rational Functions

2-4 Exponential Functions

2-5 Logarithmic Functions

2-6 Applications: Growth and Decay; Mathematics of Finance

Chapter Review

Extended Application: Characteristics of the Monkeyface Prickleback

**3. The Derivative**

3-1 Limits

3-2 Continuity

3-3 Rates of Change

3-4 Definition of the Derivative

3-5 Graphical Differentiation

Chapter 3 Review

Extended Application: A Model for Drugs Administered Intravenously

**4. Calculating the Derivative**

4-1 Techniques for Finding Derivatives

4-2 Derivatives of Products and Quotients

4-3 The Chain Rule

4-4 Derivatives of Exponential Functions

4-5 Derivatives of Logarithmic Functions

Chapter Review

Extended Application: Electric Potential and Electric Field

**5. Graphs and the Derivative**

5-1 Increasing and Decreasing Functions

5-2 Relative Extrema

5-3 Higher Derivatives, Concavity, and the Second Derivative Test

5-4 Curve Sketching

Chapter Review

Extended Application: A Drug Concentration Model for Orally Administered

Medications

**6. Applications of the Derivative**

6-1 Absolute Extrema

6-2 Applications of Extrema

6-3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand

6-4 Implicit Differentiation

6-5 Related Rates

6-6 Differentials: Linear Approximation

Chapter Review

Extended Application: A Total Cost Model for a Training Program

**7. Integration**

7-1 Antiderivatives

7-2 Substitution

7-3 Area and the Definite Integral

7-4 The Fundamental Theorem of Calculus

7-5 The Area Between Two Curves

7-6 Numerical Integration

Chapter Review

Extended Application: Estimating Depletion Dates for Minerals

**8. Further Techniques and Applications of Integration**

8-1 Integration by Parts

8-2 Volume and Average Value

8-3 Continuous Money Flow

8-4 Improper Integrals

Chapter Review

Extended Application: Estimating Learning Curves in Manufacturing with Integrals

**9. Multivariable Calculus**

9-1 Functions of Several Variables

9-2 Partial Derivatives

9-3 Maxima and Minima

9-4 Lagrange Multipliers

9-5 Total Differentials and Approximations

9-6 Double Integrals

Chapter Review

Extended Application: Using Multivariable Fitting to Create a Response Surface Design

**10. Differential Equations**

10-1 Solutions of Elementary and Separable Differential Equations

10-2 Linear First-Order Differential Equations

10-3 Euler's Method

10-4 Applications of Differential Equations

Chapter Review

Extended Application: Pollution of the Great Lakes

**11. Probability and Calculus**

11-1 Continuous Probability Models

11-2 Expected Value and Variance of Continuous Random Variables

11-3 Special Probability Density Functions

Chapter Review

Extended Application: Exponential Waiting Times

**12. Sequences and Series **

12-1 Geometric Sequences

12-2 Annuities: An Application of Sequences

12-3 Taylor Polynomials

12-4 Infinite Series

12-5 Taylor Series

12-6 Newton's Method

12-7 L'Hospital's Rule

Chapter Review

**13. The Trigonometric Functions**

13-1 Definitions of the Trigonometric Functions

13-2 Derivatives of Trigonometric Functions

13-3 Integrals of Trigonometric Functions

Chapter Review

Extended Application: The Shortest Time and the Cheapest Path

Tables

Table 1 Formulas of Geometry

Table 2 Area Under a Normal Curve

Table 3 Integrals

Table 4 Integrals Involving Trigonometric Functions

Answers to Selected Exercises

Photo Acknowledgements

Index## For teachers

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