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 
0.7 The Coordinate Plane 
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Chapter 1 Functions and Linear Models  


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 
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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: Hybrid Cars—Optimizing the Degree of Hybridization 
Online Resources for Chapter 2 
Chapter Summary  Chapter True/False Quiz  Chapter Review Exercises  Chapter Excel Tutorials 
Math Tools for Chapter 2 
Pivot and GaussJordan Tool  Excel Pivot and GaussJordan Tool  Graphing Calculator Pivot Program (TI82/83/84/85/86)  Free Mac GaussJordan Program 
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Chapter 3 Matrix Algebra 
3.1 Matrix Addition and Scalar Multiplication 
Online tutorial for Section 3.1 Game version 
3.2 Matrix Multiplication 
Online tutorial for Section 3.2 Game version 
3.3 Matrix Inversion 
Online tutorial for Section 3.3 
3.4 Game Theory 
Online tutorial for Section 3.4 Game version 
3.5 InputOutput Models 
Online tutorial for Section 3.5 
Case Study: Projecting Market Share 
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 
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Chapter 4 Linear Programming 
4.1 Graphing Linear Inequalities 
4.2 Solving Linear Programming Problems Graphically 
Online tutorial for Section 4.2
Game version 
4.3 The Simplex Method: Solving Standard Maximization Problems 
Online tutorial for Section 4.3
Game version 
4.4 The Simplex Method: Solving General Linear Programming Problems 
Online tutorial for Section 4.4
Game version 
4.5 The Simplex Method and Duality (Optional) 
Case Study: 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 (TI82/83/84/85/86)  Diet Problem Solver 
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Chapter 5 Mathematics of Finance 
5.1 Simple Interest 
5.2 Compound Interest 
5.3 Annuities, Loans, and Bonds 
Case Study: Adjustable Rate and Subprime Mortgages 

Online Resources for Chapter 5 
Chapter Summary  Chapter True/False Quiz  Chapter Excel Tutorials 
Math Tools for Chapter 5 
Time Value of Money Utility

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Chapter 6 Sets and Counting 
6.1 Set Operations 
6.2 Cardinality 
6.3 The Addition and Multiplication Principles 
Online tutorial for Section 6.3 Game version 
6.4 Permutations and Combinations 
Online tutorial for Section 6.4 Game version 
Case Study: Designing a Puzzle 

Online Resources for Chapter 6 
Chapter Summary  Chapter True/False Quiz  Chapter Review Exercises 
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Chapter 7 Probability 


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) 
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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 
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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 
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Chapter 10 Introduction to the Derivative 


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

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Chapter 11 Techniques of Differentiation 


Video for Section 11.3 (Prof XSquared): Product and Quotient Rules

Videos for Section 11.4 (Prof XSquared): Chain Rule Part 1 Chain Rule Part 2

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  Exercises for derivatives of powers, sums, and constant multiples  Exercises for product and quotient rules  Chapter Review Exercises

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Chapter 12 Applications of the Derivative 
12.1 Maxima and Minima 
5.1 Maxima and Minima  Online tutorial for Section 12.1 Game version 
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 SecondDerivative Graphing Utility  Free Mac Grapher 
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Chapter 13 The Integral 
13.1 The Indefinite Integral 
13.2 Substitution 
Online tutorial for Section 13.2 Game version 
13.3 The Definite Integral: Numerical and Graphical Approaches 
Online tutorial for Section 13.3 Game version 
13.4 The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus 
Online tutorial for Section 13.4 
Online: Numerical Integration 
Case Study: Spending on Housing Construction 
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 
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Chapter 14 Further Techniques and Applications of the Integral 
14.1 Integration by Parts 
Videos for Section 7.1 (Prof XSquared): Part 1 Part 2

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 
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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: Modeling College Population 
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 
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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: Predicting Airline Empty Seat Volume 
Download data 
Online Resources for Chapter 16 
Chapter Summary  Online version of this chapter  Chapter True/False Quiz 
Math Tools for Chapter 16 
Steve Costenoble's Java Graphing Utility  Function Evaluator & Grapher  Excel Grapher  Excel Derivative Grapher 
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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 
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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 
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Appendix A: Logic (Also see online full chapter version below.)  Answers to Oddnumbered Exercises in Textbook 
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Appendix B: Table: Area Under a Normal Curve 
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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 