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by Margaret L. Lial, Raymond N. Greenwell and Nathan P. Ritchey

Edition: 8TH 05Copyright: 2005

Publisher: Addison-Wesley Longman, Inc.

Published: 2005

International: No

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Widely known for incorporating interesting, relevant, and realistic applications, this text offers many real applications citing current data sources. There are a wide variety of opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts. MyMathLab, a complete online course, will be available with this text. For the first time, a comprehensive series of lectures on video will be available.

**R. Algebra Reference. **

Polynomials.

Factoring.

Rational Expressions.

Equations.

Inequalities.

Exponents.

Radicals.

**1. Linear Functions. **

Slope and Equations of Lines.

Linear Functions and Applications.

The Least Squares Line.

**2. Nonlinear Functions. **

Properties of Functions.

Quadratic Functions; Translation and Reflection.

Polynomial and Rational Functions.

Exponential Functions.

Logarithmic Functions.

Applications: Growth and Decay; Mathematics of Finance.

**3. The Derivative. **

Limits.

Continuity.

Rates of Change.

Definition of the Derivative.

Graphical Differentiation.

**4. Calculating the Derivative. **

Techniques for Finding Derivatives.

Derivatives of Products and Quotients.

The Chain Rule.

Derivatives of Exponential Functions.

Derivatives of Logarithmic Functions.

**5. Graphs and the Derivative. **

Increasing and Decreasing Functions.

Relative Extrema.

Higher Derivatives, Concavity, and the Second Derivative Test.

Curve Sketching.

**6. Applications of the Derivative. **

Absolute Extrema.

Applications of Extrema.

Further Business Applications: Economic Lot Size, Economic Order Quantity; Elasticity of Demand.

Implicit Differentiation.

Related Rates.

Differentials: Linear Approximation.

**7. Integration. **

Antiderivatives.

Substitution.

Area and the Definite Integral.

The Fundamental Theorem of Calculus.

The Area Between Two Curves.

Numerical Integration.

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

Integration by Parts.

Volume and Average Value.

Continuous Money Flow.

Improper Integrals.

**9. Multivariable Calculus. **

Functions of Several Variables.

Partial Derivatives.

Maxima and Minima.

Lagrange Multipliers.

Total Differentials and Approximations.

Double Integrals.

Tables.

Table 1. Formulas from Geometry.

Table 2. Integrals.

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Summary

Widely known for incorporating interesting, relevant, and realistic applications, this text offers many real applications citing current data sources. There are a wide variety of opportunities for use of technology, allowing for increased visualization and a better understanding of difficult concepts. MyMathLab, a complete online course, will be available with this text. For the first time, a comprehensive series of lectures on video will be available.

Table of Contents

**R. Algebra Reference. **

Polynomials.

Factoring.

Rational Expressions.

Equations.

Inequalities.

Exponents.

Radicals.

**1. Linear Functions. **

Slope and Equations of Lines.

Linear Functions and Applications.

The Least Squares Line.

**2. Nonlinear Functions. **

Properties of Functions.

Quadratic Functions; Translation and Reflection.

Polynomial and Rational Functions.

Exponential Functions.

Logarithmic Functions.

Applications: Growth and Decay; Mathematics of Finance.

**3. The Derivative. **

Limits.

Continuity.

Rates of Change.

Definition of the Derivative.

Graphical Differentiation.

**4. Calculating the Derivative. **

Techniques for Finding Derivatives.

Derivatives of Products and Quotients.

The Chain Rule.

Derivatives of Exponential Functions.

Derivatives of Logarithmic Functions.

**5. Graphs and the Derivative. **

Increasing and Decreasing Functions.

Relative Extrema.

Higher Derivatives, Concavity, and the Second Derivative Test.

Curve Sketching.

**6. Applications of the Derivative. **

Absolute Extrema.

Applications of Extrema.

Further Business Applications: Economic Lot Size, Economic Order Quantity; Elasticity of Demand.

Implicit Differentiation.

Related Rates.

Differentials: Linear Approximation.

**7. Integration. **

Antiderivatives.

Substitution.

Area and the Definite Integral.

The Fundamental Theorem of Calculus.

The Area Between Two Curves.

Numerical Integration.

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

Integration by Parts.

Volume and Average Value.

Continuous Money Flow.

Improper Integrals.

**9. Multivariable Calculus. **

Functions of Several Variables.

Partial Derivatives.

Maxima and Minima.

Lagrange Multipliers.

Total Differentials and Approximations.

Double Integrals.

Tables.

Table 1. Formulas from Geometry.

Table 2. Integrals.

Publisher Info

Publisher: Addison-Wesley Longman, Inc.

Published: 2005

International: No

Published: 2005

International: No

**R. Algebra Reference. **

Polynomials.

Factoring.

Rational Expressions.

Equations.

Inequalities.

Exponents.

Radicals.

**1. Linear Functions. **

Slope and Equations of Lines.

Linear Functions and Applications.

The Least Squares Line.

**2. Nonlinear Functions. **

Properties of Functions.

Quadratic Functions; Translation and Reflection.

Polynomial and Rational Functions.

Exponential Functions.

Logarithmic Functions.

Applications: Growth and Decay; Mathematics of Finance.

**3. The Derivative. **

Limits.

Continuity.

Rates of Change.

Definition of the Derivative.

Graphical Differentiation.

**4. Calculating the Derivative. **

Techniques for Finding Derivatives.

Derivatives of Products and Quotients.

The Chain Rule.

Derivatives of Exponential Functions.

Derivatives of Logarithmic Functions.

**5. Graphs and the Derivative. **

Increasing and Decreasing Functions.

Relative Extrema.

Higher Derivatives, Concavity, and the Second Derivative Test.

Curve Sketching.

**6. Applications of the Derivative. **

Absolute Extrema.

Applications of Extrema.

Further Business Applications: Economic Lot Size, Economic Order Quantity; Elasticity of Demand.

Implicit Differentiation.

Related Rates.

Differentials: Linear Approximation.

**7. Integration. **

Antiderivatives.

Substitution.

Area and the Definite Integral.

The Fundamental Theorem of Calculus.

The Area Between Two Curves.

Numerical Integration.

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

Integration by Parts.

Volume and Average Value.

Continuous Money Flow.

Improper Integrals.

**9. Multivariable Calculus. **

Functions of Several Variables.

Partial Derivatives.

Maxima and Minima.

Lagrange Multipliers.

Total Differentials and Approximations.

Double Integrals.

Tables.

Table 1. Formulas from Geometry.

Table 2. Integrals.