Chapter 0 Algebra Review
0.1 Real Numbers	Online tutorial for Section 0.1
0.2 Exponents and Radicals	Online tutorial for Section 0.2
0.3 Multiplying and Factoring Algebraic Equations	Online tutorial for Section 0.3
0.4 Rational Expressions	Online tutorial for Section 0.4
0.5 Solving Polynomial Equations	Online tutorial for Section 0.5
0.6 Solving Miscellaneous Equations
Top of Page
Chapter 1 Functions and Linear Models
4th Edition 1.1 Functions from the Numerical and Algebraic Viewpoints Online tutorial for Section 1.1 1.2 Functions from the Graphical Viewpoint Online tutorial for Section 1.2 1.3 Linear Functions Online tutorial for Section 1.3 1.4 Linear Models Online tutorial for Section 1.4 1.5 Linear Regression Online tutorial for Section 1.5 Case Study: Modeling Spending on Internet Advertising   5th Edition 1.1 Functions from the Numerical, Algebraic, and Graphical Viewpoints Online tutorial for Section 1.1 1.2 Applications: Functions and Models 1.3 Linear Functions and models Online tutorial for Section 1.3 1.4 Linear Regression Online tutorial for Section 1.4 Case Study: Modeling Spending on Internet Advertising
Online: New Functions from Old: Scaled and Shifted Functions
Online: Fitting Functions to Data: Linear and Exponential Regression
Online Resources for Chapter 1
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials
Math Tools for Chapter 1
Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Steve Costenoble's Java Graphing Utility
Top of Page
Chapter 2 Systems of Linear Equations and Matrices
2.1 Systems of Two Linear Equations in Two Unknowns	Online tutorial for Section 2.1
2.2 Using Matrices to Solve Systems of Equations	Online tutorial for Section 2.2 Game version
2.3 Applications of Systems of Linear Equations	Online tutorial for Section 2.3
Case Study: The Impact of Regulating Sulfur Emissions
Online Resources for Chapter 2
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials
Math Tools for Chapter 2
Pivot and Gauss-Jordan Tool | Excel Pivot and Gauss-Jordan Tool | Graphing Calculator Pivot Program (TI-82/83/84/85/86) | Free Mac Gauss-Jordan Program
Top of Page
Chapter 3 Matrix Algebra
3.1 Matrix Addition and Scalar Multiplication	Online tutorial for Section 3.1
3.2 Matrix Multiplication	Online tutorial for Section 3.2
3.3 Matrix Inversion	Online tutorial for Section 3.3
3.4 Matrices in Practice: Game Theory	Online tutorial for Section 3.4
3.5 Matrices in Practice: Input-Output Models	Online tutorial for Section 3.5
Case Study: The Japanese Economy
Online Resources for Chapter 3
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials
Math Tools for Chapter 3
Matrix Algebra Tool | Online Game Theory Utility | Free Mac Matrix Algebra Program
Top of Page
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	Online tutorial for Section 4.3
4.4 The Simplex Method: Solving General Linear Programming Problems	Online tutorial for Section 4.4
4.5 The Simplex Method and Duality (Optional)
Case Study (coming in fifth edition): The Diet Problem	Diet Problem Solver
Online Resources for Chapter 4
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials
Math Tools for Chapter 4
Linear Programming Grapher | Excel Row Operation and Pivoting Utility | Simplex Method Tool | Row Operation and Pivoting Utility | Graphing Calculator Pivot Program (TI-82/83/84/85/86) | Diet Problem Solver
Top of Page
Chapter 5 Mathematics of Finance
5.1 Simple Interest
5.2 Compound Interest
5.3 Annuities, Loans, and Bonds
Case Study: Saving for College
Online Resources for Chapter 5
Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials
Math Tools for Chapter 5
Time Value of Money Utility
Top of Page
Chapter 6 Sets and Counting
6.1 Set Operations
6.2 Cardinality
6.3 The Addition and Multiplication Principles
6.4 Permutations and Combinations
Case Study: Designing a Puzzle
Online Resources for Chapter 6
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises
Top of Page
Chapter 7 Probability
4th Edition 7.1 Sample Spaces and Events Online tutorial for Section 7.1 7.2 Estimated and Theoretical Probability Online tutorial for Section 7.2 7.3 Properties of Probability Distributions Online tutorial for Section 7.3 7.4* Probability and Counting Techniques 7.5 Conditional Probability and Independence Online tutorial for Section 7.5 Game version 7.6 Bayes' Theorem and Applications Online tutorial for Section 7.6 7.7 Probability in Practice: Markov Systems Case Study: The Monty Hall Problem Online Monty Hall Simulation   5th Edition 7.1 Sample Spaces and Events Online tutorial for Section 7.1 Game version 7.2 Relative Frequency Online tutorial for Section 7.2 Game version 7.3 Probability and Probability Models Online tutorial for Section 7.3 Game version 7.4* Probability and Counting Techniques 7.5 Conditional Probability and Independence Online tutorial for Section 7.5 Game version 7.6 Bayes' Theorem and Applications Online tutorial for Section 7.6 7.7 Probability in Practice: Markov Systems Case Study: The Monty Hall Problem Online Monty Hall Simulation
Online Resources for Chapter 7
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises
Math Tools for Chapter 7
Online Markov System Simulation (Visual Simulation) | Matrix Algebra Tool | Online Markov System Computation Utility (Computes Powers of Transition Matrix)
Top of Page
Chapter 8 Random Variables and Statistics
8.1 Random Variables and Distributions	Online tutorial for Section 8.1
8.2 Bernoulli Trials and Binomial Random Variables	Online tutorial for Section 8.2
8.3 Measures of Central Tendency	Online tutorial for Section 8.3
8.4 Measures of Dispersion	Online tutorial for Section 8.4
8.5 Normal Distributions
Online: Sampling Distributions and the Central Limit Theorem
Online: Confidence Intervals
Online: Calculus & Statistics
Online: Fitting Functions to Data: Regression
Case Study: Spotting Tax Fraud with Benford's Law
Online 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
Top of Page
Chapter 9 Nonlinear Models
9.1 Quadratic Functions and Models	Online tutorial for Section 9.1
9.2 Exponential Functions and Models	Online tutorial for Section 9.2
9.3 Logarithmic Functions and Models	Online tutorial for Section 9.3
9.4 Logistic Functions and Models
Online: Inverse Fuctions
Online: Fitting Functions to Data: Linear and Exponential Regression
Online: Using and Deriving Algebraic Properties of Logarithms
Case Study: Checking Up on Malthus	Wheat Production Data (Excel)
Online Resources for Chapter 9
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials
Math Tools for Chapter 9
Function Evaluator & Grapher | Excel Grapher | Regression Utility | Steve Costenoble's Steve Costenoble's Java Graphing Utility
Top of Page
Chapter 10 Introduction to the Derivative
4th Edition 10.1 Limits: Numerical and Graphical Approaches Online tutorial for Section 10.1 10.2 Limits and Continuity Online tutorial for Section 10.2 10.3 Limits: Algebraic Approach Online tutorial for Section 10.3 10.4 Average Rate of Change Online tutorial for Section 10.4 Game version 10.5 The Derivative: Numerical and Graphical Viewpoints Online tutorial for Section 10.5   Game version 10.6 The Derivative: Algebraic Viewpoint Online tutorial for Section 10.6   Game version 10.7 Derivatives of Powers, Sums, and Constant Multiples Online tutorial for Section 10.7   Game version 10.8 A First Application: Marginal Analysis Case Study: Reducing Sulfur Emissions   5th Edition 10.1 Limits: Numerical and Graphical Approaches Online tutorial for Section 10.1 10.2 Limits and Continuity Online tutorial for Section 10.2 10.3 Limits: Algebraic Approach Online tutorial for Section 10.3 10.4 Average Rate of Change Online tutorial for Section 10.4 Game version 10.5 The Derivative: Numerical and Graphical Viewpoints Online tutorial for Section 10.5 Game version 10.6 The Derivative: Algebraic Viewpoint Online tutorial for Section 10.6 Game version Case Study: Reducing Sulfur Emissions
Online: Sketching the Graph of the Derivative
Online: Continuity and Differentiability
Online Resources for Chapter 10
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Additional exercises for derivatives of powers, sums, and constant multiples | Chapter Excel Tutorials
Math Tools for Chapter 10
Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Steve Costenoble's Steve Costenoble's Java Graphing Utility | Excel Derivative Grapher
Top of Page
Chapter 11 Techniques of Differentiation
4th Edition 11.1 The Product and Quotient Rules Online tutorial for Section 11.1 Game version 11.2 The Chain Rule Online tutorial Game version 11.3 Derivatives of Logarithmic and Exponential Functions Online tutorial for Section 11.3 Game version 11.4 Implicit Differentiation Case Study: Projecting Market Growth   5th Edition 11.1 Derivatives of Powers, Sums, and Constant Multiples Online tutorial for Section 11.1 Game version 11.2 A First Application: Marginal Analysis 11.3 The Product and Quotient Rules Online tutorial for Section 11.3 Game version 11.4 The Chain Rule Online tutorial for Section 11.4 Game version 11.5 Derivatives of Logarithmic and Exponential Functions Online tutorial for Section 11.5 Game version 11.6 Implicit Differentiation Case Study: Projecting Market Growth
Online: Linear Approximation and Error Estimation
Online: Proof of the Power Rule
Online: Proof of the Quotient Rule
Online: Proof of the Chain Rule
Online Resources for Chapter 11
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Additional exercises for product and quotient rules
Top of Page
Chapter 12 Applications of the Derivative
12.1 Maxima and Minima	Online tutorial for Section 12.1
12.2 Applications of Maxima and Minima	Online tutorial for Section 12.2
12.3 The Second Derivative and Analyzing Graphs	Online tutorial for Section 12.3
12.4 Related Rates	Online tutorial for Section 12.4
12.5 Elasticity of Demand
Case Study: Production Lot Size Management
Online Resources for Chapter 12
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials
Math Tools for Chapter 12
Steve Costenoble's Java Graphing Utility | Function Evaluator & Grapher | Excel First- and Second-Derivative Graphing Utility | Free Mac Grapher
Top of Page
Chapter 13 The Integral
13.1 The Indefinite Integral	Online tutorial for Section 13.1   Game version
13.2 Substitution	Online tutorial for Section 13.2
13.3 The Definite Integral: Numerical and Graphical Approaches	Online tutorial for Section 13.3
13.4 The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus	Online tutorial for Section 13.4
Online: Numerical Integration
Case Study: Wage Inflation
Online Resources for Chapter 13
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials
Math Tools for Chapter 13
Numerical Integration Utility | Graphing Calculator Programs for Numerical Integration | Excel Riemann Sum Grapher
Top of Page
Chapter 14 Further Techniques and Applications of the Integral
14.1 Integration by Parts
14.2 Area Between Two Curves and Applications
14.3 Averages and Moving Averages
14.4 Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams
14.5 Improper Integrals and Applications
14.6 Differential Equations and Applications
Case Study: Estimating Tax Revenues
Online Resources for Chapter 14
Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials
Top of Page
Chapter 15 Functions of Several Variables
15.1 Functions of Several Variables from the Numerical and Algebraic Viewpoints
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	Also See Online Material on Regression
15.6 Double Integrals
Case Study: Constructing a Best Fit Demand Curve
Online Resources for Chapter 15
Chapter Summary | Chapter True/False Quiz
Math Tools for Chapter 15
Surface Graphing Utility | Excel Surface Graphing Utility | Linear Multiple Regression Utility
Top of Page
Chapter 16 Trigonometric Models
16.1 Trigonometric Functions, Models, and Regression
16.2 Derivatives of Trigonometric Functions and Applications
16.3 Integrals of Trigonometric Functions and Applications
Online: Proofs of Some Trigonometric Limits
Online: New Functions from Old: Scaled and Shifted Functions
Case Study (coming in fifth edition): Predicting Airline Empty Seat Volume	Download data
Online Resources for Chapter 16
Chapter Summary | Online version of this chapter
Math Tools for Chapter 16
Steve Costenoble's Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Excel Derivative Grapher
Top of Page
Online Chapter: Trigonometric Functions and Calculus (Text and Complete Exercise Sets Online; 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
Top of Page
Chapter P: Calculus Applied to Probability and Statistics (Text and Complete Exercise Sets Online; 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
Case Study: Creating a Family Trust
Top of Page
Appendix A: Logic (Also see on-line full chapter version below.)
Top of Page
Appendix B: Table: Area Under a Normal Curve
Top of Page
Chapter L: Introduction to Logic (Text and Complete Exercise Sets Online; 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