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Finite Mathematics Applied to the Real World 
Calculus Applied to the Real World 
Chapter 1 Functions and Graphs  
Introduction  
1.1 Coordinates and Graphs  
1.2 Functions and their Graphs  
1.3 Linear Functions  
1.4 Linear Models  
1.5 Quadratic Functions and Models  
1.6 Solving Equations Using Graphing Calculators or Computers  
You're the ExpertModeling the Demand for Poultry  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
OnLine Chapter Review Exercises  
Additional OnLine Topics  
New Functions from Old: Scaled and Shifted Functions  
Fitting Functions to Data: Regression  
Math Tools for Chapter 1  
Java Graphing Utility  Function Evaluator & Grapher  Simple Regression Utility  Free Mac Grapher  
Chapter 2 Systems of Linear Equations and Matrices  
Introduction  
2.1 Systems of Two Linear Equations in Two Unknowns  
2.2 Using Matrices to Solve Systems with Two Unknowns  Online tutorial for Section 2.2 
2.3 Using Matrices to Solve Systems with Three or More Unknowns  Online tutorial for Section 2.3 
2.4 Applications of Systems of Linear Equations  
You're the ExpertThe Impact of Regulating Sulfur Emissions  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
OnLine Chapter Review Exercises  
Math Tools for Chapter 2  
Row Operation and Pivoting Utility  Graphing Calculator Pivot Program (TI82/83)  Free Mac GaussJordan Program  
Chapter 3 Matrix Algebra  
Introduction  
3.1 Matrix Addition and Scalar Multiplication  
3.2 Matrix Multiplication  
3.3 Matrix Inversion  
3.4 InputOutput Models  
You're the ExpertThe Japanese Economy  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
Math Tools for Chapter 3  
Matrix Algebra Tool  Free Mac Matrix Algebra Program  
Chapter 4 Linear Programming  
Introduction  
4.1 Graphing Linear Inequalities  
4.2 Solving Linear Programming Problems Graphically  
4.3 Solving Standard Linear Programming Problems using the Simplex Method  Online tutorial for Section 4.3 
4.4 Solving Nonstandard Linear Programming Problems  
You're the Expert Airline Scheduling  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
OnLine Chapter Review Exercises  
Math Tools for Chapter 4  
Simplex Method Tool  Row Operation and Pivoting Utility  Graphing Calculator Pivot Program (TI82/83)  Free Mac Pivot Program  
Chapter 5 Sets and Counting  
Introduction  
5.1 Sets  
5.2 The Number of Elements in a Set  
5.3 The Multiplication Principle; Permutations  
5.4 The Addition Principle; Combinations  
You're the ExpertDesigning a Puzzle  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
OnLine Chapter Review Exercises  
Chapter 6 Probability  
Introduction  
6.1 Sample Spaces and Events  Online tutorial for Section 6.1 
6.2 Introduction to Probability  Online tutorial for Section 6.2 
6.3 Principles of Probability  Online tutorial for Section 6.3 
6.4 Counting Techniques and Probability  
6.5 Conditional Probability and Independence  Online tutorial for Section 6.5 
6.6 Bayes' Theorem and Applications  Online tutorial for Section 6.6 
6.7 Bernoulli Trials  Probability Distribution Generator and Grapher for Bernoulli Trials 
You're the ExpertThe Monty Hall Problem  Online Monty Hall Simulation (Java) 
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
OnLine Chapter Review Exercises  
Math Tools for Chapter 6  
Probability Distribution Generator and Grapher for Bernoulli Trials  
Chapter 7 Statistics  
Introduction  
7.1 Random Variables and Distributions  
7.2 Mean, Median, and Mode  
7.3 Variance and Standard Deviation  
7.4 Normal Distributions  
You're the ExpertLies, Damned Lies, and Statistics  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
OnLine Chapter Review Exercises  
OnLine Chapter on Calculus & Statistics  
Additional OnLine Topics  
Sampling Distributions & Central Limit Theorem  
Fitting Functions to Data: Regression  
Math Tools for Chapter 7  
Histogram and Probability Distribution Generator  Probability Distribution Generator and Grapher for Bernoulli Trials  
Chapter 8 Mathematics of Finance  
Introduction  
8.1 Simple Interest  
8.2 Compound Interest  
8.3 Annuities and Loans  
You're the ExpertPricing Auto Loans  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
Chapter 9 Exponential and Logarithmic Functions  
Introduction  
9.1 Exponential Functions and Applications  
9.2 Continuous Growth and Decay and the Number e  
9.3 Logarithmic Functions  
9.4 Applications of Logarithms  
You're the ExpertEpidemics  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
Math Tools for Chapter 9  
Java Graphing Utility  Function Evaluator & Grapher  Simple Regression Utility  Free Mac Grapher  
Chapter 10 Introduction to the Derivative  
Introduction  
10.1 Rates of Change and the Derivative  Online tutorial for Section 10.1 
10.2 Geometric Interpretation of the Derivative  Online tutorial for Section 10.2 
10.3 Limits and Continuity  Online tutorial for Section 10.3 
10.4 Derivatives of Powers and Polynomials  Online tutorial for Section 10.4 
10.5 Marginal Analysis  
10.6 More on Limits, Continuity and Differentiability  
You're the ExpertReducing Sulfur Emissions  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
Additional OnLine Topics  
Sketching the Graph of the Derivative  
Proof of the Power Rule  
Math Tools for Chapter 10  
Java Graphing Utility  Function Evaluator & Grapher  Simple Regression Utility  Free Mac Grapher  
Chapter 11 Techniques of Differentiation  
Introduction  
11.1 The Product and Quotient Rules  Online tutorial for Section 11.1 
11.2 The Chain Rule  Online tutorial for Section 11.2 
11.3 Derivatives of Logarithmic and Exponential Functions  Online tutorial for Section 11.3 
11.4 Implicit Differentiation  
11.5 Linear Approximation and Error Estimation  
You're the Expert Estimating Mortgage Rates  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
OnLine Chapter Review Exercises  
Additional OnLine Topics  
Proof of the Quotient Rule  
Proof of the Chain Rule  
Proofs of some Trigonometric Limits  
Chapter 12 Applications of the Derivative  
Introduction  
12.1 Maxima and Minima  
12.2 Applications of Maxima and Minima  
12.3 The Second Derivative: Acceleration and Concavity  
12.4 Curve Sketching  
12.5 Related Rates  Online tutorial for Section 12.5 
12.6 Elasticity of Demand  
You're the ExpertProduction Lot Size Management  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
OnLine Review Exercises on Maxima & Minima  
OnLine Review Exercises onElasticity of Demand  
Math Tools for Chapter 12  
Java Graphing Utility  Function Evaluator & Grapher  Free Mac Grapher  
Chapter 13 The Integral  
Introduction  
13.1 The Indefinite Integral  Online tutorial for Section 13.1 
13.2 Substitution  Online tutorial for Section 13.2 
13.3 Applications of the Indefinite Integral  
13.4 Geometric Definition of the Definite Integral  
13.5 Algebraic Definition of the Definite Integral  
13.6 The Fundamental Theorem of Calculus  
13.7 Numerical Integration  
You're the ExpertThe Cost of Issuing a Warranty  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
OnLine Review Exercises for Chapter 13  
Math Tools for Chapter 10  
Numerical Integration Utility  Graphing Calculator Programs for Numerical Integration  
Chapter 14 Further Techniques and Applications of the Integral  
Introduction  
14.1 Integration by Parts  
14.2 Integration Using Tables  
14.3 Area Between Two Curves and Applications  
14.4 Averages and Moving Averages  
14.5 Improper Integrals and Applications  
You're the ExpertEstimating Tax Revenues  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
Chapter 15 Functions of Several Variables  
Introduction  
15.1 Functions of Two or More Variables  
15.2 Three Dimensional Space and the Graph of a Function of Two Variables  
15.3 Partial Derivatives  
15.4 Maxima and Minima  
15.5 Constrained Maxima and Minima Applications  
5.6 Least Squares Fit  Also See OnLine Material on Regression 
You're the ExpertConstructing a Best Fit Demand Curve  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
Math Tools for Chapter 15  
Linear Multiple Regression Utility  
OnLine Chapter: Introduction to Logic (Text and Complete Exercise Sets OnLine) 

Introduction  
Statements and Logical Operators  
Logical Equivalence, Tautologies and Contradictions  
The Conditional and the Biconditional  
Tautological Implications and Tautological Equivalences  
Rules of Inference  
Arguments and Proofs  
OnLine Chapter: Calculus and Probability (Text and Complete Exercise Sets OnLine) 

Introduction  
Continuous Random Variables and Histograms  
Probability Density Functions: Uniform, Exponential, Normal, and Beta  
Mean, Median, Variance and Standard Deviation  
You're the ExpertCreating a Family Trust  
OnLine Chapter: Trigonometric Functions and Calculus (Text and Complete Exercise Sets OnLine) 

Introduction  
Modeling with the Sine Function  
The Six Trigonometric Functions  
Derivatives of Trigonometric Functions  
Integrals of Trigonometric Functions  
Appendix A: Algebra Review  
Introduction  
Operations on the Real Numbers  Online tutorial for Section A.1 
Integer Exponents  Online tutorial for Section A.2 
Radicals and Rational Exponents  Online tutorial for Section A.3 
The Distributive Law: Multiplying Algebraic Expressions  Online tutorial for Section A.4 
Factoring Algebraic Expressions  Online tutorial for Section A.5 
Rational Expressions  Online tutorial for Section A.6 
Equations  Online tutorial for Section A.7 
Solving Polynomial Equations  
Solving Miscellaneous Equations  
Appendix B: Using a Graphing Calculator  
Appendix C: Using a Computer Spreadsheet  
Appendix D: A Table of Integrals  
Appendix E: Table: Area Under a Normal Curve 