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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 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 Appendix A: Real Numbers Appendix B: Table: Area Under a Normal Curve Online Algebra Review Tutorials 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

Last Updated: March, 2002