Calculus with Applications Brief Version 11th edition by Margaret Lial, Raymond Greenwell, Nathan Ritchey ISBN 0321979419 978-0321979414

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ISBN 10: 0321979419
ISBN 13: 978-0321979414
Author: Margaret Lial, Raymond Greenwell, Nathan Ritchey

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.

Calculus with Applications Brief Version 11th Table of contents:

Chapter 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

Chapter 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

Chapter 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: Power Functions

Chapter 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

Chapter 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: Electric Potential and Electric Field

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Chapter 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

Appendix A: Solutions to Prerequisite Skills Diagnostic Test

Appendix B: Tables

Answers to Selected Exercises

Credits

Index of Applications

Index

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