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Finite Mathematics Applied to the Real World 
Finite Mathematics & 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 & Grapher  Simple Regression Utility  Free Mac Grapher  
Chapter 2 Exponential and Logarithmic Functions  
Introduction  
2.1 Exponential Functions and Applications  
2.2 Continuous Growth and Decay and the Number e  
2.3 Logarithmic Functions  
2.4 Applications of Logarithms  
You're the ExpertEpidemics  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
Math Tools for Chapter 2  
Java Graphing Utility  Function Evaluator & Grapher  Simple Regression Utility  Free Mac Grapher  
Chapter 3 Introduction to the Derivative  
Introduction  
3.1 Rates of Change and the Derivative  Online tutorial for Section 3.1 
3.2 Geometric Interpretation of the Derivative  Online tutorial for Section 3.2 
3.3 Limits and Continuity  Online tutorial for Section 3.3 
3.4 Derivatives of Powers and Polynomials  Online tutorial for Section 3.4 
3.5 Marginal Analysis  
3.6 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 3  
Java Graphing Utility  Function Evaluator & Grapher  Simple Regression Utility  Free Mac Grapher  
Chapter 4 Techniques of Differentiation  
Introduction  
4.1 The Product and Quotient Rules  Online tutorial for Section 4.1 
4.2 The Chain Rule  Online tutorial for Section 4.2 
4.3 Derivatives of Logarithmic and Exponential Functions  Online tutorial for Section 4.3 
4.4 Implicit Differentiation  
4.5 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 ChainRule  
Proofs of some Trigonometric Limits  
Chapter 5 Applications of the Derivative  
Introduction  
5.1 Maxima and Minima  
5.2 Applications of Maxima and Minima  
5.3 The Second Derivative: Acceleration and Concavity  
5.4 Curve Sketching  
5.5 Related Rates  Online tutorial for Section 5.5 
5.6 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 5  
Java Graphing Utility  Function Evaluator & Grapher  Free Mac Grapher  
Chapter 6 The Integral  
Introduction  
6.1 The Indefinite Integral  Online tutorial for Section 6.1 
6.2 Substitution  Online tutorial for Section 6.2 
6.3 Applications of the Indefinite Integral  
6.4 Geometric Definition of the Definite Integral  
6.5 Algebraic Definition of the Definite Integral  
6.6 The Fundamental Theorem of Calculus  
6.7 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 6  
Math Tools for Chapter 10  
Numerical Integration Utility  Graphing Calculator Programs for Numerical Integration  
Chapter 7 Further Techniques and Applications of the Integral  
Introduction  
7.1 Integration by Parts  
7.2 Integration Using Tables  
7.3 Area Between Two Curves and Applications  
7.4 Averages and Moving Averages  
7.5 Improper Integrals and Applications  
You're the ExpertEstimating Tax Revenues  
Review Exercises  
OnLine Chapter Summary  
OnLine Chapter True/False Quiz  
Chapter 8 Functions of Several Variables  
Introduction  
8.1 Functions of Two or More Variables  
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 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 8  
Linear Multiple Regression Utility  
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 