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Finite Mathematics
Third Edition
by
Stefan Waner and Steven R. Costenoble
Introduction
1.1 Functions from the Numerical and
Algebraic Viewpoints
1.2 Functions from the Graphical
Viewpoint
1.3 Linear Functions
1.4 Linear Models
1.5 Linear Regression
Case
Study: Modeling Spending on Internet Advertising
Optional Internet Topic:
New
Functions from Old: Scaled and Shifted Functions
On-Line Resources
for Chapter 1:
Chapter Summary,
Section-by-section tutorials, Chapter True/False Quiz, Chapter Review
Exercises, Chapter Excel Tutorials, Java Graphing Utility, Function Evaluator
& Grapher , Excel Grapher, Simple Regression Utility
Introduction
2.1 Systems of Two Equations
in Two Unknowns
2.2 Using Matrices to Solve
Systems of Equations
2.3 Applications of Systems of
Linear Equations
Case
Study: The Impact of Regulating Sulfur Emissions
On-Line Resources
for Chapter 2:
Chapter Summary, Section-by-section tutorials, Chapter True/False
Quiz, Chapter Review Exercises, Chapter Excel Tutorials, Row Operation and Pivoting Utility, Excel Row
Operation and Pivoting Utility, Graphing Calculator Pivot Program
(TI-82/83/85/86), Free Mac Gauss-Jordan Program
Introduction
3.1 Matrix Addition and Scalar
Multiplication
3.2 Matrix Multiplication
3.3 Matrix Inversion
3.4 Input-Output Models
Case
Study: The Japanese Economy
On-Line Resources
for Chapter 3:
Chapter Summary, Section-by-section tutorials, Chapter True/False
Quiz, Chapter Review Exercises, Chapter Excel Tutorials, Row Operation and Pivoting Utility, Excel Row
Operation and Pivoting Utility, Matrix Algebra Tool, Free Mac Matrix Algebra
Program
Introduction
4.1 Graphing Linear
Inequalities
4.2 Solving Linear Programming
Problems Graphically
4.3 The Simplex Method:
Solving Standard Maximization Problems
4.4 The Simplex Method:
Solving General Linear Programming Problems
4.5 The Simplex Method and
Duality (Optional)
Case
Study: Airline Scheduling
On-Line Resources
for Chapter 4:
Chapter Summary, Section-by-section tutorials, Chapter True/False
Quiz, Chapter Review Exercises, Chapter Excel Tutorials, Linear Programming Grapher, Simplex Method Tool, Row
Operation and Pivoting Utility, Row Operation and Pivoting Utility, Excel Row
Operation and Pivoting Utility
Introduction
5.1 Simple Interest
5.2 Compound Interest
5.3 Annuities, Loans, and Bonds
Case
Study: Saving for College
On-Line Resources
for Chapter 5:
Chapter
Summary, Chapter True/False Quiz, Chapter Review Exercises, Chapter Excel
Tutorials, Time Value of Money Utility
Introduction
6.1 Set Operations
6.2 Cardinality
6.3 The Addition and
Multiplication Principles
6.4 Permutations and
Combinations
Case
Study: Designing a Puzzle
On-Line Resources
for Chapter 6:
Chapter Summary,
Chapter True/False Quiz, Chapter Review Exercises
Introduction
7.1 Sample Spaces and Events
7.2 Estimated Probability
7.3 Theoretical Probability
7.4 Probability and Counting
Techniques (Optional)
7.5 Probability Distributions
7.6 Conditional Probability
and Independence
7.7 Bayes' Theorem and
Applications
Case
Study: The Monty Hall Problem
On-Line Resources
for Chapter 7:
Chapter Summary,
Section-by-section tutorials, Chapter True/False Quiz, Chapter Review
Exercises, On-line Monty Hall Simulation
Introduction
8.1 Random Variables and
Distributions
8.2 Bernoulli Trials and
Binomial Random Variables
8.3 Measures of Central Tendency
8.4 Measures of Dispersion
8.5 Normal Distributions
Case
Study: Spotting Tax Fraud with Benford's Law
Optional Internet
Topics:
Sampling
Distributions and the Central Limit Theorem
Confidence
Intervals
Hypothesis
Testing
On-Line Resources
for Chapter 8:
Chapter Summary, Chapter True/False Quiz, Chapter Review
Exercises, Histogram and Probability Distribution Generator, Probability Distribution
Generator and Grapher for Bernoulli Trials, Normal Distribution Utility, Normal
Distribution Table
Introduction
9.1 Markov Systems
9.2 Distribution Vectors and Powers
of the Transition Matrix
9.3 Long-Range Behavior of
Regular Markov Systems
9.4 Absorbing Markov Systems
Case
Study: Predicting the Price of Gold
On-Line Resources
for Chapter 9:
Chapter Summary, Chapter True/False Quiz, Chapter Review
Exercises, On-Line Markov System
Simulation (Visual Simulation), Matrix Algebra Tool, Free Mac Matrix Algebra
Program
Chapter G Game Theory (Available
Electronically)
Introduction
G.1 Two-Person
Zero Sum Games; Reduction by Dominance
G.2 Strictly
Determined Games
G.3 Solving
Games using the Simplex Method
Case Study: Harvesting Forests
Chapter L Introduction to Logic
(Available Electronically and as an Interactive Web Page)
Introduction
L.1 Statements
and Logical Operators
L.2 Logical
Equivalence, Tautologies and Contradictions
L.3 The
Conditional and the Biconditional
L.4 Tautological
Implications and Tautological Equivalences
L.5 Rules
of Inference
L.6 Arguments
and Proofs
Appendix A Real
Numbers
Appendix B Table:
Area Under a Normal Curve
Answers to Selected Exercises
Index
Applied Calculus
Third Edition
by
Stefan Waner and Steven R. Costenoble
Introduction
1.1 Functions from the Numerical and
Algebraic Viewpoints
1.2 Functions from the Graphical
Viewpoint
1.3 Linear Functions
1.4 Linear Models
1.5 Linear Regression
Case
Study: Modeling Spending on Internet Advertising
Optional Internet Topic:
New Functions
from Old: Scaled and Shifted Functions
On-Line Resources
for Chapter 1:
Chapter Summary, Section-by-section tutorials, Chapter
True/False Quiz, Chapter Review Exercises, Chapter Excel Tutorials, Java
Graphing Utility, Function Evaluator & Grapher, Excel Grapher, Simple
Regression Utility
Introduction
2.1 Quadratic
Functions and Models
2.2 Exponential
Functions and Models
2.3 Logarithmic
Functions and Models
2.4 Logistic
Functions and Models
Case
Study: Checking Up on Malthus
Optional
Internet Topics:
Inverse
Fuctions
Fitting
Functions to Data: Linear and Exponential Regression
Using
and Deriving Algebraic Properties of Logarithms
On-Line Resources
for Chapter 2:
Chapter Summary,
Section-by-section tutorials, Chapter True/False Quiz, Chapter Review
Exercises, Chapter Excel Tutorials, Java Graphing Utility, Function Evaluator
& Grapher, Excel Grapher
Introduction
3.1 Average Rate of Change
3.2 The Derivative: Numerical and
Graphical Viewpoints
3.3 The Derivative: Algebraic
Viewpoint
3.4 Derivatives of Powers, Sums, and
Constant Multiples
3.5 A First Application: Marginal
Analysis
3.6 Limits: Numerical and Graphical
Approaches (Optional)
3.7 Limits and Continuity:
(Optional)
3.8 Limits and Continuity: Algebraic
Approach (Optional)
Case
Study: Reducing Sulfur Emissions
Optional
Internet Topics:
Sketching
the Graph of the Derivative
Proof
of the Power Rule
Continuity
and Differentiability
On-Line Resources
for Chapter 3:
Chapter Summary,
Section-by-section tutorials, Chapter True/False Quiz, Chapter Review
Exercises, Chapter Excel Tutorials, Excel
Derivative Grapher,, Java Graphing Utility, Function
Evaluator & Grapher, Excel Grapher
Introduction
4.1 The Product and Quotient Rules
4.2 The Chain Rule
4.3 Derivatives of Logarithmic and
Exponential Functions s
4.4 Implicit Differentiation
Case Study: Projecting Market Growth
Optional
Internet Topics:
Proof of the Quotient Rule
Proof of the Chain Rule
Linear Approximation and Error Estimation
On-Line Resources
for Chapter 4:
Chapter
Summary, Section-by-section tutorials, Chapter
True/False Quiz, Chapter Review Exercises, Chapter Excel Tutorials,
Introduction
5.1 Maxima and Minima
5.2 Applications of Maxima and
Minima
5.3 The Second Derivative and
Analyzing Graphs
5.4 Related Rates
5.5 Elasticity of Demand
Case
Study: Production Lot Size Management
On-Line Resources
for Chapter 5:
Chapter Summary,
Section-by-section tutorials, Chapter True/False Quiz, Chapter Review
Exercises, Chapter Excel Tutorials, Excel
Derivative Grapher,, Java Graphing Utility, Function
Evaluator & Grapher, Excel Grapher
Introduction
6.1 The Indefinite Integral
6.2 Substitution
6.3 The Definite Integral as a
Sum: A Numerical Approach
6.4 The Definite Integral as Area: A
Geometric Approach
6.5 The
Definite Integral: An Algebraic Approach and the Fundamental Theorem of
Calculus
Case
Study: Wage Inflation
Optional
Internet Topics:
Numerical Integration
On-Line Resources
for Chapter 6:
Chapter
Summary, Section-by-section
tutorials, Chapter True/False Quiz, Chapter Review Exercises, Chapter Excel
Tutorials, Numerical Integration Utility, Graphing
Calculator Programs for Numerical Integration, Excel Riemann Sum Grapher
Introduction
7.1 Integration
by Parts
7.2 Area
Between Two Curves and Applications
7.3 Averages
and Moving Averages
7.4 Continuous
Income Streams
7.5 Improper
Integrals and Applications
7.6 Differential
Equations and Applications
Case
Study: Estimating Tax Revenues
On-Line Resources
for Chapter 7:
Chapter
Summary, Section-by-section
tutorials, Chapter True/False Quiz, Chapter Excel Tutorials,
Introduction
8.1 Functions
of Several Variables from the Numerical and Algebraic Viewpoints
8.2 Three
Dimensional Space and the Graph of a Function of Two Variables
8.3 Partial
Derivatives
8.4 Maxima and
Minima
8.5 Constrained
Maxima and Minima Applications
8.6 Double
Integrals
Case
Study: Constructing a Best Fit Demand Curve
Optional
Internet Topics:
Derivations of limits and derivatives of trig functions
On-Line Resources
for Chapter 8:
Chapter Summary, Chapter
True/False Quiz, Chapter Excel Tutorials, Surface Graphing Utility, Excel
Surface Graphing Utility, Linear Multiple Regression Utility
Introduction
9.1 Trigonometric Functions, Models,
and Regression
9.2 Derivatives of Trigonometric
Functions and Applications
9.3 Integrals of Trigonometric
Functions and Applications
Case
Study: Predicting Cocoa Inventories
On-Line Resources
for Chapter 9:
On-line version of this chapter, Chapter Summary,
Chapter True/False Quiz, Chapter Excel Tutorials,
Java Graphing Utility, Function Evaluator & Grapher, Excel Grapher
Introduction
CP.1 Continuous Random Variables and Histograms
CP.2 Probability Density Functions: Uniform,
Exponential, Normal, and Beta
CP.3 Mean,
Median, Variance and Standard Deviation
Case
Study: Creating a Family Trust
Appendix A: Algebra Review
(Also Avaliable as an Interactive Series of On-Line Tutorials)
A.1 Real Numbers
A.2 Exponents and Radicals
A.3 Multiplying and Factoring Algebraic
Equations
A.4 Rational Expressions
A.5 Solving Polynomial Equations
A.6 Solving Miscellaneous Equations
Finite Mathematics and Applied
Calculus
Third Edition
by
Introduction
1.1 Functions from the Numerical and
Algebraic Viewpoints
1.2 Functions from the Graphical
Viewpoint
1.3 Linear Functions
1.4 Linear Models
1.5 Linear Regression
Case
Study: Modeling Spending on Internet Advertising
Optional Internet Topic:
New
Functions from Old: Scaled and Shifted Functions
On-Line Resources
for Chapter 1:
Chapter Summary, Section-by-section tutorials, Chapter True/False Quiz,
Chapter Review Exercises, Chapter Excel Tutorials, Java Graphing Utility,
Function Evaluator & Grapher , Excel Grapher, Simple Regression Utility
Introduction
2.1 Systems of Two Equations
in Two Unknowns
2.2 Using Matrices to Solve
Systems of Equations
2.3 Applications of Systems of
Linear Equations
Case
Study: The Impact of Regulating Sulfur Emissions
On-Line Resources
for Chapter 2:
Chapter Summary, Section-by-section tutorials, Chapter True/False
Quiz, Chapter Review Exercises, Chapter Excel Tutorials, Row Operation and Pivoting Utility, Excel Row
Operation and Pivoting Utility, Graphing Calculator Pivot Program
(TI-82/83/85/86), Free Mac Gauss-Jordan Program
Introduction
3.1 Matrix Addition and Scalar
Multiplication
3.2 Matrix Multiplication
3.3 Matrix Inversion
3.4 Input-Output Models
Case
Study: The Japanese Economy
On-Line Resources
for Chapter 3:
Chapter Summary, Section-by-section tutorials, Chapter True/False
Quiz, Chapter Review Exercises, Chapter Excel Tutorials, Row Operation and Pivoting Utility, Excel Row
Operation and Pivoting Utility, Matrix Algebra Tool, Free Mac Matrix Algebra
Program
Introduction
4.1 Graphing Linear
Inequalities
4.2 Solving Linear Programming
Problems Graphically
4.3 The Simplex Method:
Solving Standard Maximization Problems
4.4 The Simplex Method:
Solving General Linear Programming Problems
4.5 The Simplex Method and
Duality (Optional)
Case
Study: Airline Scheduling
On-Line Resources
for Chapter 4:
Chapter Summary, Section-by-section tutorials, Chapter True/False
Quiz, Chapter Review Exercises, Chapter Excel Tutorials, Linear Programming Grapher, Simplex Method Tool, Row
Operation and Pivoting Utility, Row Operation and Pivoting Utility, Excel Row
Operation and Pivoting Utility
Introduction
5.1 Simple Interest
5.2 Compound Interest
5.3 Annuities, Loans, and Bonds
Case
Study: Saving for College
On-Line Resources
for Chapter 5:
Chapter
Summary, Chapter True/False Quiz, Chapter Review Exercises, Chapter Excel
Tutorials, Time Value of Money Utility
Introduction
6.1 Set Operations
6.2 Cardinality
6.3 The Addition and
Multiplication Principles
6.4 Permutations and
Combinations
Case
Study: Designing a Puzzle
On-Line Resources
for Chapter 6:
Chapter Summary,
Chapter True/False Quiz, Chapter Review Exercises
Introduction
7.1 Sample Spaces and Events
7.2 Estimated Probability
7.3 Theoretical Probability
7.4 Probability and Counting
Techniques (Optional)
7.5 Probability Distributions
7.6 Conditional Probability
and Independence
7.7 Bayes' Theorem and
Applications
Case
Study: The Monty Hall Problem
On-Line Resources
for Chapter 7:
Chapter Summary,
Section-by-section tutorials, Chapter True/False Quiz, Chapter Review
Exercises, On-line Monty Hall Simulation
Introduction
8.1 Random Variables and
Distributions
8.2 Bernoulli Trials and
Binomial Random Variables
8.3 Measures of Central Tendency
8.4 Measures of Dispersion
8.5 Normal Distributions
Case
Study: Spotting Tax Fraud with Benford's Law
Optional Internet
Topics:
Sampling
Distributions and the Central Limit Theorem
Confidence
Intervals
Hypothesis
Testing
On-Line Resources
for Chapter 8:
Chapter Summary, Chapter True/False Quiz, Chapter Review
Exercises, Histogram and Probability Distribution Generator, Probability
Distribution Generator and Grapher for Bernoulli Trials, Normal Distribution
Utility, Normal Distribution Table
Introduction
9.1 Markov Systems
9.2 Distribution Vectors and Powers
of the Transition Matrix
9.3 Long-Range Behavior of
Regular Markov Systems
9.4 Absorbing Markov Systems
Case
Study: Predicting the Price of Gold
On-Line Resources
for Chapter 9:
Chapter Summary, Chapter True/False Quiz, Chapter Review
Exercises, On-Line Markov System
Simulation (Visual Simulation), Matrix Algebra Tool, Free Mac Matrix Algebra
Program
Introduction
10.1 Quadratic
Functions and Models
10.2 Exponential Functions
and Models
10.3 Logarithmic Functions
and Models
10.4 Logistic Functions and
Models
Case
Study: Checking Up on Malthus
Optional
Internet Topics:
Inverse
Fuctions
Fitting
Functions to Data: Linear and Exponential Regression
Using
and Deriving Algebraic Properties of Logarithms
On-Line Resources
for Chapter 10:
Chapter Summary,
Section-by-section tutorials, Chapter True/False Quiz, Chapter Review
Exercises, Chapter Excel Tutorials, Java Graphing Utility, Function Evaluator
& Grapher, Excel Grapher
Introduction
11.1 Average Rate of Change
11.2 The Derivative: Numerical and Graphical
Viewpoints
11.11 The Derivative: Algebraic Viewpoint
11.4 Derivatives of Powers, Sums, and Constant
Multiples
11.5 A First Application: Marginal Analysis
11.6 Limits: Numerical and Graphical Approaches
(Optional)
11.7 Limits and Continuity: (Optional)
11.8 Limits and Continuity: Algebraic Approach
(Optional)
Case
Study: Reducing Sulfur Emissions
Optional
Internet Topics:
Sketching
the Graph of the Derivative
Proof
of the Power Rule
Continuity
and Differentiability
On-Line Resources
for Chapter 11:
Chapter Summary,
Section-by-section tutorials, Chapter True/False Quiz, Chapter Review
Exercises, Chapter Excel Tutorials, Excel
Derivative Grapher,, Java Graphing Utility, Function
Evaluator & Grapher, Excel Grapher
Introduction
12.1 The Product and Quotient Rules
12.2 The Chain Rule
12.3 Derivatives of Logarithmic and Exponential
Functions s
12.12 Implicit Differentiation
Case Study: Projecting Market Growth
Optional
Internet Topics:
Proof of the Quotient Rule
Proof of the Chain Rule
Linear Approximation and Error Estimation
On-Line Resources
for Chapter 12:
Chapter
Summary, Section-by-section
tutorials, Chapter True/False Quiz, Chapter Review Exercises, Chapter Excel
Tutorials,
Introduction
13.1 Maxima and Minima
13.2 Applications of Maxima and Minima
13.3 The Second Derivative and Analyzing
Graphs
13.4 Related Rates
13.13 Elasticity of Demand
Case
Study: Production Lot Size Management
On-Line Resources
for Chapter 13:
Chapter Summary,
Section-by-section tutorials, Chapter True/False Quiz, Chapter Review
Exercises, Chapter Excel Tutorials, Excel
Derivative Grapher,, Java Graphing Utility, Function
Evaluator & Grapher, Excel Grapher
Introduction
14.1 The Indefinite Integral
14.2 Substitution
14.3 The Definite Integral as a Sum: A
Numerical Approach
14.4 The Definite Integral as Area: A Geometric
Approach
14.5 The
Definite Integral: An Algebraic Approach and the Fundamental Theorem of
Calculus
Case
Study: Wage Inflation
Optional
Internet Topics:
Numerical Integration
On-Line Resources
for Chapter 14:
Chapter
Summary, Section-by-section
tutorials, Chapter True/False Quiz, Chapter Review Exercises, Chapter Excel
Tutorials, Numerical Integration Utility, Graphing
Calculator Programs for Numerical Integration, Excel Riemann Sum Grapher
Introduction
15.1 Integration by Parts
15.2 Area Between Two Curves
and Applications
15.3 Averages and Moving
Averages
15.4 Continuous Income
Streams
15.5 Improper Integrals and
Applications
15.6 Differential Equations
and Applications
Case
Study: Estimating Tax Revenues
On-Line Resources
for Chapter 15:
Chapter
Summary, Section-by-section
tutorials, Chapter True/False Quiz, Chapter Excel Tutorials,
Introduction
16.1 Functions of Several
Variables from the Numerical and Algebraic Viewpoints
16.2 Three Dimensional Space
and the Graph of a Function of Two Variables
16.3 Partial Derivatives
16.4 Maxima and Minima
16.5 Constrained Maxima and
Minima Applications
16.6 Double Integrals
Case
Study: Constructing a Best Fit Demand Curve
Optional
Internet Topics:
Derivations of limits and derivatives of trig functions
On-Line Resources
for Chapter 16:
Chapter
Summary, Chapter True/False Quiz, Chapter Excel Tutorials, Surface Graphing Utility, Excel Surface Graphing Utility,
Linear Multiple Regression Utility
Introduction
17.1 Trigonometric Functions, Models, and
Regression
17.2 Derivatives of Trigonometric Functions and
Applications
17.3 Integrals of Trigonometric Functions and
Applications
Case
Study: Predicting Cocoa Inventories
On-Line Resources
for Chapter 17:
On-line
version of this chapter, Chapter Summary, Chapter True/False Quiz, Chapter
Excel Tutorials, Java Graphing Utility, Function
Evaluator & Grapher, Excel Grapher
Introduction
CP.1 Continuous Random Variables and Histograms
CP.2 Probability Density Functions: Uniform,
Exponential, Normal, and Beta
CP.3 Mean,
Median, Variance and Standard Deviation
Case
Study: Creating a Family Trust
Chapter G Game Theory (Available
Electronically)
Introduction
G.1 Two-Person Zero Sum Games;
Reduction by Dominance
G.2 Strictly Determined Games
G.3 Solving Games using the Simplex
Method
Case Study: Harvesting Forests
Chapter L Introduction to Logic
(Available Electronically and as an Interactive Web Page)
Introduction
L.1 Statements and Logical Operators
L.2 Logical Equivalence, Tautologies
and Contradictions
L.3 The Conditional and the
Biconditional
L.4 Tautological Implications and
Tautological Equivalences
L.5 Rules of Inference
L.6 Arguments and Proofs
Appendix A: Algebra
Review (Also Avaliable as an Interactive Series of On-Line Tutorials)
A.1 Real Numbers
A.2 Exponents and Radicals
A.3 Multiplying and Factoring Algebraic
Equations
A.4 Rational Expressions
A.5 Solving Polynomial Equations
A.6 Solving Miscellaneous Equations
Appendix B Table:
Area Under a Normal Curve
Answers to Selected Exercises
Index