Calculus With Applications, Brief Version

Hardcover | December 16, 2015

byMargaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

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Calculus with Applications, Brief Version, 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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0133886867 / 9780133886863                 Calculus with Applications, Brief Version Plus MyMathLab with Pearson eText -- Access Card Package

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0321431308 / 9780321431301                 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069                 MyMathLab Inside Star Sticker

0321979419 / 9780321979414                 Calculus with Applications, Brief Version

 

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From the Publisher

Calculus with Applications, Brief Version, 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, prepar...

Marge Lial (late) was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received bachelor's and master's degrees from California State University at Sacramento, was affiliate...
Format:HardcoverDimensions:656 pages, 10.9 × 8.8 × 1.1 inPublished:December 16, 2015Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0321979419

ISBN - 13:9780321979414

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Extra Content

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 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 (new)

 

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 (new)

 

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

 

Tables

Table 1 Formulas of Geometry

Table 2 Integrals

 

Answers to Selected Exercises

Photo Acknowledgements

Index