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## Finite Mathematics & Applied Calculus Stefan Waner and Steven R. CostenobleTable of Contents, On-Line Resources, Everything!

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Everything for Finite Math
Everything for Calculus
Everything for Finite Math & Calculus
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 Chapter 1 Functions and Models 1.1 Functions from the Numerical and Algebraic Viewpoints On-line tutorial for Section 1.1 1.2 Functions from the Graphical Viewpoint On-line tutorial for Section 1.2 1.3 Linear Functions On-line tutorial for Section 1.3 1.4 Linear Models On-line tutorial for Section 1.4 1.5 *Linear Regression On-line tutorial for Section 1.5 On-Line: New Functions from Old: Scaled and Shifted Functions On-Line: Fitting Functions to Data: Linear and Exponential Regression You're the Expert-- Modeling Spending on Internet Advertising On-Line Resources for Chapter 1 Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials Math Tools for Chapter 1 Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Free Mac Grapher Chapter 2 Systems of Linear Equations and Matrices 2.1 Systems of Two Equations in Two Unknowns On-line tutorial for Section 2.1 2.2 Using Matrices to Solve Systems of Equations On-line tutorial for Section 2.2 2.3 Applications of Systems of Linear Equations On-line tutorial for Section 2.3 You're the Expert--The Impact of Regulating Sulfur Emissions On-Line Resources for Chapter 2 Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials Math Tools for Chapter 2 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 Chapter 3 Matrix Algebra 3.1 Matrix Addition and Scalar Multiplication On-line tutorial for Section 3.1 3.2 Matrix Multiplication On-line tutorial for Section 3.2 3.3 Matrix Inversion On-line tutorial for Section 3.3 3.4 Input-Output Models On-line tutorial for Section 3.4 You're the Expert--The Japanese Economy On-Line Resources for Chapter 3 Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials Math Tools for Chapter 3 Matrix Algebra Tool | Free Mac Matrix Algebra Program Chapter 4 Linear Programming 4.1 Graphing Linear Inequalities 4.2 Solving Linear Programming Problems Graphically 4.3 The Simplex Method: Solving Standard Maximization Problems On-line tutorial for Section 4.3 4.4 The Simplex Method: Solving General Linear Programming Problems On-line tutorial for Section 4.4 4.5 The Simplex Method and Duality (Optional) You're the Expert --Airline Scheduling On-Line Resources for Chapter 4 Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials Math Tools for Chapter 4 Linear Programming Grapher | Simplex Method Tool | Row Operation and Pivoting Utility | Graphing Calculator Pivot Program (TI-82/83) | Free Mac Pivot Program Chapter 5 Mathematics of Finance 5.1 Simple Interest 5.2 Compound Interest 5.3 Annuities, Loans, and Bonds You're the Expert--Saving for College On-Line Resources for Chapter 5 Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials Math Tools for Chapter 5 Time Value of Money Utility Chapter 6 Sets and Counting 6.1 Set Operations 6.2 Cardinality 6.3 The Addition and Multiplication Principles 6.4 Permutations and Combinations You're the Expert--Designing a Puzzle On-Line Resources for Chapter 6 Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises Chapter 7 Probability 7.1 Sample Spaces and Events On-line tutorial for Section 7.1 7.2 Estimated Probability On-line tutorial for Section 7.2 7.3 Empirical Probability On-line tutorial for Section 7.3 7.4* Probability and Counting Techniques 7.5 Abstract Probability On-line tutorial for Section 7.5 7.6 Conditional Probability and Independence On-line tutorial for Section 7.6 7.7 Bayes' Theorem and Applications On-line tutorial for Section 7.7 You're the Expert--The Monty Hall Problem On-line Monty Hall Simulation (Java) On-Line Resources for Chapter 7 Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises Chapter 8 Random Variables and Statistics 8.1 Random Variables and Distributions 8.2 Bernoulli Trials and Binomial Random Variables Binomial Disribution Utility (for Bernoulli Trials) 8.3 Measures of Central Tendency 8.4 Measures of Dispersion 8.5 Normal Distributions On-Line: Sampling Distributions and the Central Limit Theorem On-Line: Confidence Intervals On-Line: Calculus & Statistics On-Line: Fitting Functions to Data: Regression You're the Expert--Spotting Tax Fraud with Benford's Law On-Line Resources for Chapter 8 Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises Math Tools for Chapter 8 Histogram and Probability Distribution Generator | Probability Distribution Generator and Grapher for Bernoulli Trials | Normal Distribution Utility | Normal Distribution Table Chapter 9 Markov Systems 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 You're the Expert--Predicting the Price of Gold On-Line Resources for Chapter 9 Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises Math Tools for Chapter 9 On-Line Markov System Simulation (Visual Simulation) | On-Line Markov System Computation Utility (Computes Powers of Transition Matrix) Chapter G Game Theory (Optional chapter; a complete text version of this chapter can be downloaded here in pdf format) G.1 Two-Person Zero Sum Games; Reduction by Dominance G.2 Strictly Determined Games G.3 Mixing Strategies G.4 Solving Games with the Simplex Method You're the Expert--Harvesting Forests On-Line Resources for Chapter G Chapter Summary | Chapter True/False Quiz Math Tools for Chapter G On-Line Game Theory Utility (Does everything, including solving games and playing against you!) Chapter 10 Nonlinear Models 10.1 Quadratic Functions and Models 10.2 Exponential Functions and Models 10.3 Logarithmic Functions and Models 10.4* Trigonometric Functions and Models On-Line: Inverse Fuctions On-Line: Fitting Functions to Data: Linear and Exponential Regression On-Line: Using and Deriving Algebraic Properties of Logarithms On-Line: Trigonometric Functions and Calculus You're the Expert-- Epidemics On-Line Resources for Chapter 10 Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials Math Tools for Chapter 10 Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Free Mac Grapher Chapter 11 Introduction to the Derivative 11.1 Average Rate of Change On-line tutorial for Section 11.1 11.2 The Derivative as Rate of Change: A Numerical Approach On-line tutorial for Section 11.2 11.3 The Derivative as Slope: A Geometric Approach On-line tutorial for Section 11.3 11.4 The Derivative as a Function: An Algebraic Approach On-line tutorial for Section 11.4 11.5 A First Application: Marginal Analysis 11.6* Limits and Continuity: Numerical & Graphical Approaches On-line tutorial for Section 11.6 11.7* Limits and Continuity: Algebraic Approach On-line tutorial for Section 11.7 On-Line: Sketching the Graph of the Derivative On-Line: Proof of the Power Rule On-Line: Continuity and Differentiability You're the Expert--Reducing Sulfur Emissions On-Line Resources for Chapter 11 Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials Math Tools for Chapter 11 Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Download Free Mac Grapher Chapter 12 Techniques of Differentiation 12.1 The Product and Quotient Rules On-line tutorial for Section 12.1 12.2 The Chain Rule On-line tutorial for Section 12.2 12.3 Derivatives of Logarithmic and Exponential Functions On-line tutorial for Section 12.3 12.4 Derivatives of Trigonometric Functions On-line text for this topic 12.5 Implicit Differentiation On-Line:Linear Approximation and Error Estimation On-Line:Proof of the Quotient Rule On-Line:Proof of the Chain Rule On-Line: Proofs of Some Trigonometric Limits You're the Expert -- Projecting Market Growth On-Line Resources for Chapter 12 Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises Chapter 13 Applications of the Derivative 13.1 Maxima and Minima On-line tutorial for Section 13.1 13.2 Applications of Maxima and Minima On-line tutorial for Section 13.2 13.3 The Second Derivative and Analyzing Graphs 13.4 Related Rates On-line tutorial for Section 13.4 13.5 Elasticity of Demand You're the Expert--Production Lot Size Management On-Line Resources for Chapter 13 Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials Math Tools for Chapter 13 Java Graphing Utility | Function Evaluator & Grapher | Excel First- and Second-Derivative Graphing Utility | Free Mac Grapher Chapter 14 The Integral 14.1 The Indefinite Integral On-line tutorial for Section 14.1 14.2 Substitution On-line tutorial for Section 14.2 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 On-Line: Numerical Integration You're the Expert--Wage Inflation On-Line Resources for Chapter 14 Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials Math Tools for Chapter 14 Numerical Integration Utility | Graphing Calculator Programs for Numerical Integration | Excel Riemann Sum Grapher Chapter 15 Further Techniques and Applications of the Integral 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 You're the Expert--Estimating Tax Revenues On-Line Resources for Chapter 15 Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials Chapter 16 Functions of Several Variables 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 Also See On-Line Material on Regression 16.6 Double Integrals You're the Expert--Constructing a Best Fit Demand Curve On-Line Resources for Chapter 16 Chapter Summary | Chapter True/False Quiz Math Tools for Chapter 16 Surface Graphing Utility | Excel Surface Graphing Utility | Linear Multiple Regression Utility Chapter L: Introduction to Logic (Text and Complete Exercise Sets On-Line; a complete text version of this chapter can be downloaded here in pdf format) 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 L.7 Predicate Calculus On-Line Chapter: Trigonometric Functions and Calculus (Text and Complete Exercise Sets On-Line; brings together material in Chapters 10, 12, and 14) Introduction Modeling with the Sine Function The Six Trigonometric Functions Derivatives of Trigonometric Functions Integrals of Trigonometric Functions Chapter P: Calculus Applied to Probability and Statistics(Text and Complete Exercise Sets On-Line; a complete text version of this chapter can be downloaded here in pdf format) 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 You're the Expert--Creating a Family Trust Appendix A: Algebra Review A.1 Real Numbers On-line tutorial for Section A.1 A.2 Exponents and Radicals On-line tutorial for Section A.2 A.3 Multiplying and Factoring Algebraic Equations On-line tutorial for Section A.3 A.4 Rational Expressions On-line tutorial for Section A.4 A.5 Solving Polynomial Equations On-line tutorial for Section A.5 A.6 Solving Miscellaneous Equations Appendix B: Table: Area Under a Normal Curve

Last Updated: March, 2002
On-Line Materials Copyright © 2001 Stefan Waner & Steven R. Costenoble

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