# Calculus with Applications, Brief Version, 10th Edition

Published Date: Sep 12, 2011

More Product Info

## Description

Calculus with Applications, Tenth Edition (also available in a Brief Version containing Chapters 1–9) 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 get involved with the material, such as “Your Turn” exercises and “Apply It” vignettes that encourage active participation.

R. Algebra Reference

R.1 Polynomials

R.2 Factoring

R.3 Rational Expressions

R.4 Equations

R.5 Inequalities

R.6 Exponents

1. Linear Functions

1.1 Slopes and Equations of Lines

1.2 Linear Functions and Applications

1.3 The Least Squares Line

Chapter 1 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 2 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 4 Review

Extended Application: Electrical 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 5 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 6 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 7 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 8 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 9 Review

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

Package ISBN-13: 9780133885859

Includes this title packaged with:

• MathXL -- Valuepack Access Card (12-month access), 2nd Edition
. . Pearson Education

Package ISBN-13: 9780321820686

Includes this title packaged with:

• Just-in-Time Algebra for Students of Calculus in the Management and Life Sciences, 2nd Edition
Ronald I. Brent, Guntram Mueller
• MyMathLab -- Valuepack Access Card, 6th Edition
. . Pearson Education

## Purchase Info

ISBN-10: 0-321-74857-3

ISBN-13: 978-0-321-74857-7

Format: Alternate Binding

\$211.20 | Free Ground Shipping.

### Digital Choices ?

MyLab & Mastering with Pearson eText is a complete digital substitute for a print value pack at a lower price.

#### MyLab & Mastering ?

MyLab & Mastering products deliver customizable content and highly personalized study paths, responsive learning tools, and real-time evaluation and diagnostics. MyLab & Mastering products help move students toward the moment that matters most—the moment of true understanding and learning.

\$99.95 | ISBN-13: 978-0-321-75793-7

\$60.50 | ISBN-13: 978-0-321-75795-1

#### eTextbook ?

With VitalSource eTextbooks, you save up to 60% off the price of new print textbooks, and can switch between studying online or offline to suit your needs.

Access your course materials on iPad, Android and Kindle devices with VitalSource Bookshelf, the textbook e-reader that helps you read, study and learn brilliantly. Features include:

• See all of your eTextbooks at a glance and access them instantly anywhere, anytime from your Bookshelf - no backpack required.