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# Mathematics with Applications / Edition 10

Mathematics with Applications / Edition 10 available in Hardcover, Paperback

## Overview

A textbook for a one semester course in finite mathematics or college algebra. The ten chapters cover graphing, logarithms, compound interest, linear equations and matrices, probability, and statistical theory. The eighth edition combines the two chapters on functions and graphs, and polynomial and rational functions into one chapter. Annotation c. Book News, Inc., Portland, OR

## Product Details

ISBN-13: | 2900321645530 |
---|---|

Publisher: | Pearson |

Publication date: | 12/15/2009 |

Series: | Lial/Hungerford/Holcomb Series |

Edition description: | NE |

Pages: | 1032 |

Product dimensions: | 6.50(w) x 1.50(h) x 9.50(d) |

## Read an Excerpt

A textbook for a one semester course in finite mathematics or college algebra. The ten chapters cover graphing, logarithms, compound interest, linear equations and matrices, probability, and statistical theory. The eighth edition combines the two chapters on functions and graphs, and polynomial and rational functions into one chapter. Annotation c. Book News, Inc., Portland, OR

## First Chapter

A textbook for a one semester course in finite mathematics or college algebra. The ten chapters cover graphing, logarithms, compound interest, linear equations and matrices, probability, and statistical theory. The eighth edition combines the two chapters on functions and graphs, and polynomial and rational functions into one chapter. Annotation c. Book News, Inc., Portland, OR

## Table of Contents

To the Student.

1. Fundamentals of Algebra.

The Real Numbers/

First-Degree Equations.

Polynomials.

Factoring.

Rational Expressions.

Exponents and Radicals.

Summary.

Review Exercises.

Case 1: Consumers Often Defy Common Sense.

2. Graphs, Equations, and Inequalities.

Graphs.

Slope and the Equations of a Line.

Applications of Linear Equations.

Quadratic Equations.

Linear Inequalities.

Polynomial and Rational Inequalities.

Summary.

Review Exercises.

Case 2: Depreciation.

3. Functions and Graphs.

Functions.

Graphs of Functions.

Applications of Linear Functions.

Summary.

Review Exercises.

Case 3: Marginal Cost--Booz, Allen and Hamilton.

4. Polynomial And Rational Functions.

Quadratic Functions.

Applications of Quadratic Functions.

Polynomial Functions.

Rational Functions.

Summary.

Review Exercises.

Case 4: Error-Correcting Codes.

5. Exponential and Logarithmic Functions.

Exponential Functions.

Applications of Exponential Functions.

Logarithmic Functions.

Applications of Logarithmic Functions.

Summary.

Review Exercises.

Case 5: Characteristics of the Monkeyface Prickleback.

6. Mathematics of Finance.

Simple Interest and Discount.

Compound Interest.

Annuities.

Present Value of an Annuity: Amortization.

Applying Financial Formulas.

Summary.

Review Exercises.

Case 6: Time, Money, and Polynomials.

7. Systems of Linear Equations and Matrices.

Systems of Linear Equations.

The Gauss-Jordan Method.

Basic Matrix Operations.

Matrix Products and Inverses.

Applications ofMatrices.

Summary.

Review Exercises.

Case 7: Leontief's Model of the American Economy.

8. Linear Programming.

Graphing Linear Inequalities in Two Variables.

Linear Programming: The Graphical Method.

Applications of Linear Programming.

The Simplex Method: Maximization.

Maximization Applications.

The Simplex Method: Duality and Minimization.

The Simplex Method: Nonstandard Problems.

Summary.

Review Exercises.

Case 8: A Minimum Cost Balanced Organic Fertilizer Mix.

9. Sets and Probability.

Sets.

Applications of Venn Diagrams.

Probability.

Basic Concepts of Probability.

Conditional Probability; Independent Events.

Bayes' Formula.

Summary.

Review Exercises.

Case 9: Medical Diagnosis.

10. Further Topics in Probability.

Permutations and Combinations.

Applications of Counting.

Binomial Probability.

Markov Chains.

Probability Distributions; Expected Value.

Decision Making.

Summary.

Review Exercises.

Case 10: Optimal Inventory for a Service Truck.

11. Introduction to Statistics.

Frequency Distributions; Measures of Central Tendency.

Measures of Variation.

Normal Distributions.

Binomial Distributions.

Summary.

Review Exercises.

Case 11: Statistical Process Control.

12. Differential Calculus.

Limits.

Rates of Change.

Tangent Lines and Derivatives.

Techniques for Finding Derivatives.

Derivatives of Products and Quotients.

The Chain Rule.

Derivatives of Exponential and Logarithmic Functions.

Continuity and Differentiability.

Summary.

Review Exercises.

Case 12: Price Elasticity of Demand.

13. Applications of the Derivative.

Derivatives and Graphs.

The Second Derivative.

Optimization Applications.

Curve Sketching (Optional).

Summary.

Review Exercises.

Case 13: A Total Cost Model for a Training Program.

14. Integral Calculus.

Antiderivatives.

Integration by Substitution.

Area and the Definite Integral.

The Fundamental Theorem of Calculus.

Applications of Integrals.

Tables of Integrals (Optional).

Differential Equations.

Summary.

Review Exercises.

Case 14: Estimating Depletion Dates for Minerals.

15. Multivariate Calculus.

Functions of Several Variables.

Partial Derivatives.

Extrema of Functions of Several Variables.

Summary.

Review Exercises.

Appendices.

A: Graphing Calculators.

Part 1: Introduction.

Part 2: Program Appendix.

B: Tables.

Answers to Selected Exercises.

Index of Applications.

Index.

## Reading Group Guide

Index of Applications.

To the Student.

1. Fundamentals of Algebra.

The Real Numbers/

First-Degree Equations.

Polynomials.

Factoring.

Rational Expressions.

Exponents and Radicals.

Summary.

Review Exercises.

Case 1: Consumers Often Defy Common Sense.

2. Graphs, Equations, and Inequalities.

Graphs.

Slope and the Equations of a Line.

Applications of Linear Equations.

Quadratic Equations.

Linear Inequalities.

Polynomial and Rational Inequalities.

Summary.

Review Exercises.

Case 2: Depreciation.

3. Functions and Graphs.

Functions.

Graphs of Functions.

Applications of Linear Functions.

Summary.

Review Exercises.

Case 3: Marginal Cost--Booz, Allen and Hamilton.

4. Polynomial And Rational Functions.

Quadratic Functions.

Applications of Quadratic Functions.

Polynomial Functions.

Rational Functions.

Summary.

Review Exercises.

Case 4: Error-Correcting Codes.

5. Exponential and Logarithmic Functions.

Exponential Functions.

Applications of Exponential Functions.

Logarithmic Functions.

Applications of Logarithmic Functions.

Summary.

Review Exercises.

Case 5: Characteristics of the Monkeyface Prickleback.

6. Mathematics of Finance.

Simple Interest and Discount.

Compound Interest.

Annuities.

Present Value of an Annuity: Amortization.

Applying Financial Formulas.

Summary.

Review Exercises.

Case 6: Time, Money, and Polynomials.

7. Systems of Linear Equations and Matrices.

Systems of Linear Equations.

The Gauss-Jordan Method.

Basic Matrix Operations.

Matrix Products and Inverses.

Applications ofMatrices.

Summary.

Review Exercises.

Case 7: Leontief's Model of the American Economy.

8. Linear Programming.

Graphing Linear Inequalities in Two Variables.

Linear Programming: The Graphical Method.

Applications of Linear Programming.

The Simplex Method: Maximization.

Maximization Applications.

The Simplex Method: Duality and Minimization.

The Simplex Method: Nonstandard Problems.

Summary.

Review Exercises.

Case 8: A Minimum Cost Balanced Organic Fertilizer Mix.

9. Sets and Probability.

Sets.

Applications of Venn Diagrams.

Probability.

Basic Concepts of Probability.

Conditional Probability; Independent Events.

Bayes' Formula.

Summary.

Review Exercises.

Case 9: Medical Diagnosis.

10. Further Topics in Probability.

Permutations and Combinations.

Applications of Counting.

Binomial Probability.

Markov Chains.

Probability Distributions; Expected Value.

Decision Making.

Summary.

Review Exercises.

Case 10: Optimal Inventory for a Service Truck.

11. Introduction to Statistics.

Frequency Distributions; Measures of Central Tendency.

Measures of Variation.

Normal Distributions.

Binomial Distributions.

Summary.

Review Exercises.

Case 11: Statistical Process Control.

12. Differential Calculus.

Limits.

Rates of Change.

Tangent Lines and Derivatives.

Techniques for Finding Derivatives.

Derivatives of Products and Quotients.

The Chain Rule.

Derivatives of Exponential and Logarithmic Functions.

Continuity and Differentiability.

Summary.

Review Exercises.

Case 12: Price Elasticity of Demand.

13. Applications of the Derivative.

Derivatives and Graphs.

The Second Derivative.

Optimization Applications.

Curve Sketching (Optional).

Summary.

Review Exercises.

Case 13: A Total Cost Model for a Training Program.

14. Integral Calculus.

Antiderivatives.

Integration by Substitution.

Area and the Definite Integral.

The Fundamental Theorem of Calculus.

Applications of Integrals.

Tables of Integrals (Optional).

Differential Equations.

Summary.

Review Exercises.

Case 14: Estimating Depletion Dates for Minerals.

15. Multivariate Calculus.

Functions of Several Variables.

Partial Derivatives.

Extrema of Functions of Several Variables.

Summary.

Review Exercises.

Appendices.

A: Graphing Calculators.

Part 1: Introduction.

Part 2: Program Appendix.

B: Tables.

Answers to Selected Exercises.

Index of Applications.

Index.

## Interviews

Index of Applications.

To the Student.

1. Fundamentals of Algebra.

The Real Numbers/

First-Degree Equations.

Polynomials.

Factoring.

Rational Expressions.

Exponents and Radicals.

Summary.

Review Exercises.

Case 1: Consumers Often Defy Common Sense.

2. Graphs, Equations, and Inequalities.

Graphs.

Slope and the Equations of a Line.

Applications of Linear Equations.

Quadratic Equations.

Linear Inequalities.

Polynomial and Rational Inequalities.

Summary.

Review Exercises.

Case 2: Depreciation.

3. Functions and Graphs.

Functions.

Graphs of Functions.

Applications of Linear Functions.

Summary.

Review Exercises.

Case 3: Marginal Cost--Booz, Allen and Hamilton.

4. Polynomial And Rational Functions.

Quadratic Functions.

Applications of Quadratic Functions.

Polynomial Functions.

Rational Functions.

Summary.

Review Exercises.

Case 4: Error-Correcting Codes.

5. Exponential and Logarithmic Functions.

Exponential Functions.

Applications of Exponential Functions.

Logarithmic Functions.

Applications of Logarithmic Functions.

Summary.

Review Exercises.

Case 5: Characteristics of the Monkeyface Prickleback.

6. Mathematics of Finance.

Simple Interest and Discount.

Compound Interest.

Annuities.

Present Value of an Annuity: Amortization.

Applying Financial Formulas.

Summary.

Review Exercises.

Case 6: Time, Money, and Polynomials.

7. Systems of Linear Equations and Matrices.

Systems of Linear Equations.

The Gauss-Jordan Method.

Basic Matrix Operations.

Matrix Products and Inverses.

Applications ofMatrices.

Summary.

Review Exercises.

Case 7: Leontief's Model of the American Economy.

8. Linear Programming.

Graphing Linear Inequalities in Two Variables.

Linear Programming: The Graphical Method.

Applications of Linear Programming.

The Simplex Method: Maximization.

Maximization Applications.

The Simplex Method: Duality and Minimization.

The Simplex Method: Nonstandard Problems.

Summary.

Review Exercises.

Case 8: A Minimum Cost Balanced Organic Fertilizer Mix.

9. Sets and Probability.

Sets.

Applications of Venn Diagrams.

Probability.

Basic Concepts of Probability.

Conditional Probability; Independent Events.

Bayes' Formula.

Summary.

Review Exercises.

Case 9: Medical Diagnosis.

10. Further Topics in Probability.

Permutations and Combinations.

Applications of Counting.

Binomial Probability.

Markov Chains.

Probability Distributions; Expected Value.

Decision Making.

Summary.

Review Exercises.

Case 10: Optimal Inventory for a Service Truck.

11. Introduction to Statistics.

Frequency Distributions; Measures of Central Tendency.

Measures of Variation.

Normal Distributions.

Binomial Distributions.

Summary.

Review Exercises.

Case 11: Statistical Process Control.

12. Differential Calculus.

Limits.

Rates of Change.

Tangent Lines and Derivatives.

Techniques for Finding Derivatives.

Derivatives of Products and Quotients.

The Chain Rule.

Derivatives of Exponential and Logarithmic Functions.

Continuity and Differentiability.

Summary.

Review Exercises.

Case 12: Price Elasticity of Demand.

13. Applications of the Derivative.

Derivatives and Graphs.

The Second Derivative.

Optimization Applications.

Curve Sketching (Optional).

Summary.

Review Exercises.

Case 13: A Total Cost Model for a Training Program.

14. Integral Calculus.

Antiderivatives.

Integration by Substitution.

Area and the Definite Integral.

The Fundamental Theorem of Calculus.

Applications of Integrals.

Tables of Integrals (Optional).

Differential Equations.

Summary.

Review Exercises.

Case 14: Estimating Depletion Dates for Minerals.

15. Multivariate Calculus.

Functions of Several Variables.

Partial Derivatives.

Extrema of Functions of Several Variables.

Summary.

Review Exercises.

Appendices.

A: Graphing Calculators.

Part 1: Introduction.

Part 2: Program Appendix.

B: Tables.

Answers to Selected Exercises.

Index of Applications.

Index.

## Recipe

To the Student.

1. Fundamentals of Algebra.

The Real Numbers/

First-Degree Equations.

Polynomials.

Factoring.

Rational Expressions.

Exponents and Radicals.

Summary.

Review Exercises.

Case 1: Consumers Often Defy Common Sense.

2. Graphs, Equations, and Inequalities.

Graphs.

Slope and the Equations of a Line.

Applications of Linear Equations.

Quadratic Equations.

Linear Inequalities.

Polynomial and Rational Inequalities.

Summary.

Review Exercises.

Case 2: Depreciation.

3. Functions and Graphs.

Functions.

Graphs of Functions.

Applications of Linear Functions.

Summary.

Review Exercises.

Case 3: Marginal Cost--Booz, Allen and Hamilton.

4. Polynomial And Rational Functions.

Quadratic Functions.

Applications of Quadratic Functions.

Polynomial Functions.

Rational Functions.

Summary.

Review Exercises.

Case 4: Error-Correcting Codes.

5. Exponential and Logarithmic Functions.

Exponential Functions.

Applications of Exponential Functions.

Logarithmic Functions.

Applications of Logarithmic Functions.

Summary.

Review Exercises.

Case 5: Characteristics of the Monkeyface Prickleback.

6. Mathematics of Finance.

Simple Interest and Discount.

Compound Interest.

Annuities.

Present Value of an Annuity: Amortization.

Applying Financial Formulas.

Summary.

Review Exercises.

Case 6: Time, Money, and Polynomials.

7. Systems of Linear Equations and Matrices.

Systems of Linear Equations.

The Gauss-Jordan Method.

Basic Matrix Operations.

Matrix Products and Inverses.

Applications ofMatrices.

Summary.

Review Exercises.

Case 7: Leontief's Model of the American Economy.

8. Linear Programming.

Graphing Linear Inequalities in Two Variables.

Linear Programming: The Graphical Method.

Applications of Linear Programming.

The Simplex Method: Maximization.

Maximization Applications.

The Simplex Method: Duality and Minimization.

The Simplex Method: Nonstandard Problems.

Summary.

Review Exercises.

Case 8: A Minimum Cost Balanced Organic Fertilizer Mix.

9. Sets and Probability.

Sets.

Applications of Venn Diagrams.

Probability.

Basic Concepts of Probability.

Conditional Probability; Independent Events.

Bayes' Formula.

Summary.

Review Exercises.

Case 9: Medical Diagnosis.

10. Further Topics in Probability.

Permutations and Combinations.

Applications of Counting.

Binomial Probability.

Markov Chains.

Probability Distributions; Expected Value.

Decision Making.

Summary.

Review Exercises.

Case 10: Optimal Inventory for a Service Truck.

11. Introduction to Statistics.

Frequency Distributions; Measures of Central Tendency.

Measures of Variation.

Normal Distributions.

Binomial Distributions.

Summary.

Review Exercises.

Case 11: Statistical Process Control.

12. Differential Calculus.

Limits.

Rates of Change.

Tangent Lines and Derivatives.

Techniques for Finding Derivatives.

Derivatives of Products and Quotients.

The Chain Rule.

Derivatives of Exponential and Logarithmic Functions.

Continuity and Differentiability.

Summary.

Review Exercises.

Case 12: Price Elasticity of Demand.

13. Applications of the Derivative.

Derivatives and Graphs.

The Second Derivative.

Optimization Applications.

Curve Sketching (Optional).

Summary.

Review Exercises.

Case 13: A Total Cost Model for a Training Program.

14. Integral Calculus.

Antiderivatives.

Integration by Substitution.

Area and the Definite Integral.

The Fundamental Theorem of Calculus.

Applications of Integrals.

Tables of Integrals (Optional).

Differential Equations.

Summary.

Review Exercises.

Case 14: Estimating Depletion Dates for Minerals.

15. Multivariate Calculus.

Functions of Several Variables.

Partial Derivatives.

Extrema of Functions of Several Variables.

Summary.

Review Exercises.

Appendices.

A: Graphing Calculators.

Part 1: Introduction.

Part 2: Program Appendix.

B: Tables.

Answers to Selected Exercises.

Index of Applications.

Index.