Chapter 0 Algebra Review
0.1 Real Numbers	On-line tutorial for Section 0.1
0.2 Exponents and Radicals	On-line tutorial for Section 0.2
0.3 Multiplying and Factoring Algebraic Equations	On-line tutorial for Section 0.3
0.4 Rational Expressions	On-line tutorial for Section 0.4
0.5 Solving Polynomial Equations	On-line tutorial for Section 0.5
0.6 Solving Miscellaneous Equations
Chapter 1 Functions and Linear 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
Case Study: 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
Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Steve Costenoble's Java Graphing Utility
Chapter 2 Systems of Linear Equations and Matrices
2.1 Systems of Two Linear 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
Case Study: 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-82/83/84/85/86) | 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 Matrices in Practice: Game Theory	On-line tutorial for Section 3.4
3.5 Matrices in Practice: Input-Output Models	On-line tutorial for Section 3.5
Case Study: 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 | On-Line Game Theory Utility | 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)
Case Study: 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 | Excel Row Operation and Pivoting Utility | Simplex Method Tool | Row Operation and Pivoting Utility | Graphing Calculator Pivot Program (TI-82/83/84/85/86) | Free Mac Pivot Program
Chapter 5 Mathematics of Finance
5.1 Simple Interest
5.2 Compound Interest
5.3 Annuities, Loans, and Bonds
Case Study: 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
Case Study: 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 and Theoretical Probability	On-line tutorial for Section 7.2
7.3 Properties of Probability Distributions	On-line tutorial for Section 7.3
7.4* Probability and Counting Techniques
7.5 Conditional Probability and Independence	On-line tutorial for Section 7.5
7.6 Bayes' Theorem and Applications	On-line tutorial for Section 7.6
7.7 Probability in Practice: Markov Systems
Case Study: 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
Math Tools for Chapter 7
On-Line Markov System Simulation (Visual Simulation) | Matrix Algebra Tool | On-Line Markov System Computation Utility (Computes Powers of Transition Matrix)
Chapter 8 Random Variables and Statistics
8.1 Random Variables and Distributions	On-line tutorial for Section 8.1
8.2 Bernoulli Trials and Binomial Random Variables	On-line tutorial for Section 8.2
8.3 Measures of Central Tendency	On-line tutorial for Section 8.3
8.4 Measures of Dispersion	On-line tutorial for Section 8.4
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
Case Study: 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 Nonlinear Models
9.1 Quadratic Functions and Models	On-line tutorial for Section 9.1
9.2 Exponential Functions and Models	On-line tutorial for Section 9.2
9.3 Logarithmic Functions and Models	On-line tutorial for Section 9.3
9.4 Logistic 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
Case Study: Checking Up on Malthus
On-Line 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
Chapter 10 Introduction to the Derivative
10.1 Limits: Numerical and Graphical Approaches	On-line tutorial for Section 10.1
10.2 Limits and Continuity	On-line tutorial for Section 10.2
10.3 Limits: Algebraic Approach	On-line tutorial for Section 10.3
10.4 Average Rate of Change	On-line tutorial for Section 10.4   Game version
10.5 The Derivative: Numerical and Graphical Viewpoints	On-line tutorial for Section 10.5   Game version
10.6 The Derivative: Algebraic Viewpoint	On-line tutorial for Section 10.6   Game version
10.7 Derivatives of Powers, Sums, and Constant Multiples	On-line tutorial for Section 10.7   Game version
10.8 A First Application: Marginal Analysis
On-Line: Sketching the Graph of the Derivative
On-Line: Proof of the Power Rule
On-Line: Continuity and Differentiability
Case Study: Reducing Sulfur Emissions
On-Line 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
Steve Costenoble's Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Regression Utility
Chapter 11 Techniques of Differentiation
11.1 The Product and Quotient Rules	On-line tutorial for Section 11.1  Game version
11.2 The Chain Rule	On-line tutorial for Section 11.2  Game version
11.3 Derivatives of Logarithmic and Exponential Functions	On-line tutorial for Section 11.3  Game version
11.4 Implicit Differentiation
On-Line:Linear Approximation and Error Estimation
On-Line:Proof of the Quotient Rule
On-Line:Proof of the Chain Rule
Case Study: Projecting Market Growth
On-Line Resources for Chapter 11
Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Additional exercises for product and quotient rules
Chapter 12 Applications of the Derivative
12.1 Maxima and Minima	On-line tutorial for Section 12.1
12.2 Applications of Maxima and Minima	On-line tutorial for Section 12.2
12.3 The Second Derivative and Analyzing Graphs	On-line tutorial for Section 12.3
12.4 Related Rates	On-line tutorial for Section 12.4
12.5 Elasticity of Demand
Case Study: Production Lot Size Management
On-Line 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
Chapter 13 The Integral
13.1 The Indefinite Integral	On-line tutorial for Section 13.1
13.2 Substitution	On-line tutorial for Section 13.2
13.3 The Definite Integral: Numerical and Graphical Approaches	On-line tutorial for Section 13.3
13.4 The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus	On-line tutorial for Section 13.4
On-Line: Numerical Integration
Case Study: Wage Inflation
On-Line 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
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
On-Line Resources for Chapter 14
Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials
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 On-Line Material on Regression
15.6 Double Integrals
Case Study: Constructing a Best Fit Demand Curve
On-Line 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
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
On-Line: Proofs of Some Trigonometric Limits
On-Line: New Functions from Old: Scaled and Shifted Functions
Case Study: Predicting Cocoa Inventories
On-Line Resources for Chapter 16
Chapter Summary | On-line version of this chapter
Math Tools for Chapter 16
Steve Costenoble's Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Excel Derivative Grapher
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
Case Study: Creating a Family Trust
Appendix A: Logic (Also see on-line full chapter version below.)
Appendix B: Table: Area Under a Normal Curve
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