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by Stefan Waner

Edition: 96Copyright: 1996

Publisher: Harpercollins College Division

Published: 1996

International: No

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Designed for a two-semester sequential course in finite mathematics or an elementary/survey of calculus for students in management or the natural or social sciences, this text helps answer the students' question: What is this stuff good for? by focusing on the relevance of the material, which is emphasized through an abundance of applications based on real data from actual companies and products.

This approach fosters students' understanding of mathematical concepts and by stressing the "rule of four," which is used where appropriate. The authors review each mathematical concept from the numeric, geometric, and analytic points of view and often ask students to give written responses. Optional use of graphing calculators and graphing software is provided throughout. *You're the Expert *sections put students in decision-making roles and guide them through the modeling process.

**Waner, Stefan : Hofstra University**

**Costenoble, Steven R. : Hofstra University**

**Chapter 1: Functions and Graphs**

Coordinates and Graphs

Functions and their Graphs

Linear Functions

Linear Models

Quadratic Functions and Models

Solving Equations Using Graphing Calculators or Computers

*You're the Expert--Modeling the Demand for Poultry*

**Chapter 2: Systems of Linear Equations**

Systems of Two Linear Equations in Two Unknowns

Using Matrices to Solve Systems with Two Unknowns

Using Matrices to Solve Systems with Three or More Unknowns

Applications for Systems of Linear Equations

*You're the Expert--The Impact of Regulating Sulfur Emissions*

**Chapter 3: Matrix Algebra and Applications**

Matrix Addition and Scalar Multiplication

Matrix Multiplication

Matrix Inversion

Input-Output Models

*You're the Expert--The Japanese Economy*

**Chapter 4: Linear Programming**

Graphing Linear Inequalities

Solving Linear Programming Problems Graphically

Solving Standard Linear Programming Problems Using the Simplex Method

Solving Nonstandard Linear Programming Problems

*You're the Expert--Airline Scheduling*

**Chapter 5: Sets and Counting**

Sets

The Multiplication Principle; Permutations

The Addition Principle; Combinations

*You're the Expert--Designing a Puzzle*

**Chapter 6: Probability**

Sample Spaces and Events

Introduction to Probability

Principles of Probability

Counting Techniques and Probability

Conditional Probability and Independence

Bayes' Theorem and Applications

Bernoulli Trials

*You're the Expert--The Monty Hall Problem*

**Chapter 7: Statistics**

Random Variables and Distributions

Mean, Median and Mode

Variance and Standard Deviation

Normal Distributions

*You're the Expert--Lies, Damned Lies, and Statistics*

**Chapter 8: Mathematics of Finance**

Simple Interest

Compound Interest

Annuities and Loans

*You're the Expert--Pricing Auto Loans*

**Chapter 9: Exponential and Logarithmic Functions**

Exponential Functions and Application

Continuous Growth and Decay and the Number e

Logarithmic Functions

Applications of Logarithms

*You're the Experts--Epidemics*

**Chapter 10: Introduction to The Derivative**

Rate of Change and the Derivative

Geometric Interpretation of the Derivative

Limits and Continuity

Derivatives of Powers and Polynomials

Marginal Analysis

More on Limits, Continuity and Differentiability

You're the Expert--Reducing Sulfur Emissions

**Chapter 11: Techniques of Differentiation**

The Product and Quotient Rules

The Chain Rule

Derivatives of Logarithmic and Exponential Functions

Implicit Differentiation

Linear Approximation and Error Estimation

*You're the Expert--Estimating Mortgage Rates*

**Chapter 12: Applications of the Derivative**

Maxima and Minima

Applications of Maxima and Minima

The Second Derivative: Acceleration and Concavity

Curve Sketching

Related Rates

Elasticity of Demand

*You're the Expert--Production Lot Size Management*

**Chapter 13: The Integral**

The Indefinite Integral

Substitution

Applications of the Indefinite Integral

Geometric Definition of the Definite Integral

Algebraic Definition of the Definite Integral

The Fundamental Theorem of Calculus

Numerical Integration

*You're the Expert--The Cost of Issuing a Warranty*

**Chapter 14: Further Integration Techniques and Applications of the Integral**

Integration by Parts

Integration Using Tables

Area between Two Curves and Applications

Averages and Moving Averages

Improper Integrals and Applications

Differential Equations and Applications

*You're the Expert--Estimating Tax Revenues*

**Chapter 15: Functions of Several Variables**

Functions of Two or More Variables

Three Dimensional Space and the Graph of a Function of Two Variables

Partial Derivatives

Maxima and Minima

Constrained Maxima and Minima and Applications

Least-Squares Fit

Double Integrals

*You're the Expert--Constructing a Best Fit Demand Curve*

Appendix A: Algebra Review

Operations on the Real Numbers

Integers Exponents

Radicals and Rational Exponents

The Distributive Law: Multiplying Algebraic Equations

Factoring Algebraic Expressions

Rational Expressions

Equations

Solving Polynomial Equations

Solving Miscellaneous Equations

Appendix B: Using a Graphing Calculator

Appendix C: Using a Computer Spreadsheet

Appendix D: Area Under a Normal Curve

Appendix E: A Table of Integrals

Summary

Designed for a two-semester sequential course in finite mathematics or an elementary/survey of calculus for students in management or the natural or social sciences, this text helps answer the students' question: What is this stuff good for? by focusing on the relevance of the material, which is emphasized through an abundance of applications based on real data from actual companies and products.

This approach fosters students' understanding of mathematical concepts and by stressing the "rule of four," which is used where appropriate. The authors review each mathematical concept from the numeric, geometric, and analytic points of view and often ask students to give written responses. Optional use of graphing calculators and graphing software is provided throughout. *You're the Expert *sections put students in decision-making roles and guide them through the modeling process.

Author Bio

**Waner, Stefan : Hofstra University**

**Costenoble, Steven R. : Hofstra University**

Table of Contents

**Chapter 1: Functions and Graphs**

Coordinates and Graphs

Functions and their Graphs

Linear Functions

Linear Models

Quadratic Functions and Models

Solving Equations Using Graphing Calculators or Computers

*You're the Expert--Modeling the Demand for Poultry*

**Chapter 2: Systems of Linear Equations**

Systems of Two Linear Equations in Two Unknowns

Using Matrices to Solve Systems with Two Unknowns

Using Matrices to Solve Systems with Three or More Unknowns

Applications for Systems of Linear Equations

*You're the Expert--The Impact of Regulating Sulfur Emissions*

**Chapter 3: Matrix Algebra and Applications**

Matrix Addition and Scalar Multiplication

Matrix Multiplication

Matrix Inversion

Input-Output Models

*You're the Expert--The Japanese Economy*

**Chapter 4: Linear Programming**

Graphing Linear Inequalities

Solving Linear Programming Problems Graphically

Solving Standard Linear Programming Problems Using the Simplex Method

Solving Nonstandard Linear Programming Problems

*You're the Expert--Airline Scheduling*

**Chapter 5: Sets and Counting**

Sets

The Multiplication Principle; Permutations

The Addition Principle; Combinations

*You're the Expert--Designing a Puzzle*

**Chapter 6: Probability**

Sample Spaces and Events

Introduction to Probability

Principles of Probability

Counting Techniques and Probability

Conditional Probability and Independence

Bayes' Theorem and Applications

Bernoulli Trials

*You're the Expert--The Monty Hall Problem*

**Chapter 7: Statistics**

Random Variables and Distributions

Mean, Median and Mode

Variance and Standard Deviation

Normal Distributions

*You're the Expert--Lies, Damned Lies, and Statistics*

**Chapter 8: Mathematics of Finance**

Simple Interest

Compound Interest

Annuities and Loans

*You're the Expert--Pricing Auto Loans*

**Chapter 9: Exponential and Logarithmic Functions**

Exponential Functions and Application

Continuous Growth and Decay and the Number e

Logarithmic Functions

Applications of Logarithms

*You're the Experts--Epidemics*

**Chapter 10: Introduction to The Derivative**

Rate of Change and the Derivative

Geometric Interpretation of the Derivative

Limits and Continuity

Derivatives of Powers and Polynomials

Marginal Analysis

More on Limits, Continuity and Differentiability

You're the Expert--Reducing Sulfur Emissions

**Chapter 11: Techniques of Differentiation**

The Product and Quotient Rules

The Chain Rule

Derivatives of Logarithmic and Exponential Functions

Implicit Differentiation

Linear Approximation and Error Estimation

*You're the Expert--Estimating Mortgage Rates*

**Chapter 12: Applications of the Derivative**

Maxima and Minima

Applications of Maxima and Minima

The Second Derivative: Acceleration and Concavity

Curve Sketching

Related Rates

Elasticity of Demand

*You're the Expert--Production Lot Size Management*

**Chapter 13: The Integral**

The Indefinite Integral

Substitution

Applications of the Indefinite Integral

Geometric Definition of the Definite Integral

Algebraic Definition of the Definite Integral

The Fundamental Theorem of Calculus

Numerical Integration

*You're the Expert--The Cost of Issuing a Warranty*

**Chapter 14: Further Integration Techniques and Applications of the Integral**

Integration by Parts

Integration Using Tables

Area between Two Curves and Applications

Averages and Moving Averages

Improper Integrals and Applications

Differential Equations and Applications

*You're the Expert--Estimating Tax Revenues*

**Chapter 15: Functions of Several Variables**

Functions of Two or More Variables

Three Dimensional Space and the Graph of a Function of Two Variables

Partial Derivatives

Maxima and Minima

Constrained Maxima and Minima and Applications

Least-Squares Fit

Double Integrals

*You're the Expert--Constructing a Best Fit Demand Curve*

Appendix A: Algebra Review

Operations on the Real Numbers

Integers Exponents

Radicals and Rational Exponents

The Distributive Law: Multiplying Algebraic Equations

Factoring Algebraic Expressions

Rational Expressions

Equations

Solving Polynomial Equations

Solving Miscellaneous Equations

Appendix B: Using a Graphing Calculator

Appendix C: Using a Computer Spreadsheet

Appendix D: Area Under a Normal Curve

Appendix E: A Table of Integrals

Publisher Info

Publisher: Harpercollins College Division

Published: 1996

International: No

Published: 1996

International: No

Designed for a two-semester sequential course in finite mathematics or an elementary/survey of calculus for students in management or the natural or social sciences, this text helps answer the students' question: What is this stuff good for? by focusing on the relevance of the material, which is emphasized through an abundance of applications based on real data from actual companies and products.

This approach fosters students' understanding of mathematical concepts and by stressing the "rule of four," which is used where appropriate. The authors review each mathematical concept from the numeric, geometric, and analytic points of view and often ask students to give written responses. Optional use of graphing calculators and graphing software is provided throughout. *You're the Expert *sections put students in decision-making roles and guide them through the modeling process.

**Waner, Stefan : Hofstra University**

**Costenoble, Steven R. : Hofstra University**

**Chapter 1: Functions and Graphs**

Coordinates and Graphs

Functions and their Graphs

Linear Functions

Linear Models

Quadratic Functions and Models

Solving Equations Using Graphing Calculators or Computers

*You're the Expert--Modeling the Demand for Poultry*

**Chapter 2: Systems of Linear Equations**

Systems of Two Linear Equations in Two Unknowns

Using Matrices to Solve Systems with Two Unknowns

Using Matrices to Solve Systems with Three or More Unknowns

Applications for Systems of Linear Equations

*You're the Expert--The Impact of Regulating Sulfur Emissions*

**Chapter 3: Matrix Algebra and Applications**

Matrix Addition and Scalar Multiplication

Matrix Multiplication

Matrix Inversion

Input-Output Models

*You're the Expert--The Japanese Economy*

**Chapter 4: Linear Programming**

Graphing Linear Inequalities

Solving Linear Programming Problems Graphically

Solving Standard Linear Programming Problems Using the Simplex Method

Solving Nonstandard Linear Programming Problems

*You're the Expert--Airline Scheduling*

**Chapter 5: Sets and Counting**

Sets

The Multiplication Principle; Permutations

The Addition Principle; Combinations

*You're the Expert--Designing a Puzzle*

**Chapter 6: Probability**

Sample Spaces and Events

Introduction to Probability

Principles of Probability

Counting Techniques and Probability

Conditional Probability and Independence

Bayes' Theorem and Applications

Bernoulli Trials

*You're the Expert--The Monty Hall Problem*

**Chapter 7: Statistics**

Random Variables and Distributions

Mean, Median and Mode

Variance and Standard Deviation

Normal Distributions

*You're the Expert--Lies, Damned Lies, and Statistics*

**Chapter 8: Mathematics of Finance**

Simple Interest

Compound Interest

Annuities and Loans

*You're the Expert--Pricing Auto Loans*

**Chapter 9: Exponential and Logarithmic Functions**

Exponential Functions and Application

Continuous Growth and Decay and the Number e

Logarithmic Functions

Applications of Logarithms

*You're the Experts--Epidemics*

**Chapter 10: Introduction to The Derivative**

Rate of Change and the Derivative

Geometric Interpretation of the Derivative

Limits and Continuity

Derivatives of Powers and Polynomials

Marginal Analysis

More on Limits, Continuity and Differentiability

You're the Expert--Reducing Sulfur Emissions

**Chapter 11: Techniques of Differentiation**

The Product and Quotient Rules

The Chain Rule

Derivatives of Logarithmic and Exponential Functions

Implicit Differentiation

Linear Approximation and Error Estimation

*You're the Expert--Estimating Mortgage Rates*

**Chapter 12: Applications of the Derivative**

Maxima and Minima

Applications of Maxima and Minima

The Second Derivative: Acceleration and Concavity

Curve Sketching

Related Rates

Elasticity of Demand

*You're the Expert--Production Lot Size Management*

**Chapter 13: The Integral**

The Indefinite Integral

Substitution

Applications of the Indefinite Integral

Geometric Definition of the Definite Integral

Algebraic Definition of the Definite Integral

The Fundamental Theorem of Calculus

Numerical Integration

*You're the Expert--The Cost of Issuing a Warranty*

**Chapter 14: Further Integration Techniques and Applications of the Integral**

Integration by Parts

Integration Using Tables

Area between Two Curves and Applications

Averages and Moving Averages

Improper Integrals and Applications

Differential Equations and Applications

*You're the Expert--Estimating Tax Revenues*

**Chapter 15: Functions of Several Variables**

Functions of Two or More Variables

Three Dimensional Space and the Graph of a Function of Two Variables

Partial Derivatives

Maxima and Minima

Constrained Maxima and Minima and Applications

Least-Squares Fit

Double Integrals

*You're the Expert--Constructing a Best Fit Demand Curve*

Appendix A: Algebra Review

Operations on the Real Numbers

Integers Exponents

Radicals and Rational Exponents

The Distributive Law: Multiplying Algebraic Equations

Factoring Algebraic Expressions

Rational Expressions

Equations

Solving Polynomial Equations

Solving Miscellaneous Equations

Appendix B: Using a Graphing Calculator

Appendix C: Using a Computer Spreadsheet

Appendix D: Area Under a Normal Curve

Appendix E: A Table of Integrals