Review | p. 1 |

Rectangular Coordinates and Graphs | p. 2 |

The Straight Line | p. 14 |

Parallel and Intersecting Lines; Applications | p. 26 |

Functions | p. 36 |

More about Functions | p. 51 |

Systems of Linear Equations; Matrices | p. 72 |

Systems of Linear Equations: Substitution; Elimination | p. 73 |

Systems of Linear Equations: Matrix Method | p. 86 |

Systems of m Linear Equations Containing n Variables | p. 98 |

Matrix Algebra | p. 110 |

Multiplication of Matrices | p. 122 |

Inverse of a Matrix | p. 136 |

Linear Programming | p. 163 |

Linear Inequalities | p. 164 |

A Geometric Approach to Linear Programming Problems | p. 177 |

The Simplex Tableau; Pivoting | p. 194 |

The Simplex Method: Solving Maximum Problems in Standard Form | p. 205 |

The Simplex Method with Mixed Constraints; Phase I/Phase II | p. 220 |

Using LINDO to Solve Linear Programming Problems | p. 231 |

Sets; Counting Techniques | p. 251 |

Sets | p. 252 |

The Multiplication Principle | p. 266 |

Permutations | p. 271 |

Combinations | p. 277 |

The Binomial Theorem | p. 282 |

Probability | p. 293 |

Sample Spaces and Alignment of Probabilities | p. 295 |

Properties of the Probability of an Event | p. 307 |

Equally Likely Outcomes | p. 315 |

Conditional Probability | p. 322 |

Independent Events | p. 332 |

Bayes' Formula | p. 338 |

The Binomial Probability Model | p. 348 |

Expected Value | p. 358 |

Markov Chains; Games | p. 381 |

Markov Chains and Transition Matrices | p. 382 |

Regular Markov Chains | p. 391 |

Absorbing Markov Chains | p. 400 |

Two-Person Games | p. 409 |

Mixed Strategies | p. 414 |

Optimal Strategy in Two-Person Zero-Sum Games with 2 x 2 Matrices | p. 417 |

Statistics | p. 427 |

Organization of Data | p. 429 |

Measures of Central Tendency | p. 436 |

Measures of Dispersion | p. 443 |

The Normal Distribution | p. 449 |

Finance | p. 463 |

Simple Interest | p. 464 |

Compound Interest | p. 467 |

Annuities; Sinking Funds | p. 473 |

Present Value of an Annuity; Amortization | p. 479 |

Applications: Leasing; Capital Expenditures: Bonds | p. 486 |

The Limit and the Derivative of a Function | p. 494 |

The Idea of a Limit | p. 495 |

Algebraic Techniques for Finding Limits | p. 502 |

Continuous Functions | p. 511 |

The Tangent Problem; The Derivative | p. 520 |

Derivative Formulas | p. 530 |

The Simple Power Rule; Sum and Difference Formulas | p. 531 |

Rates of Change; Application to Economics: Marginal Analysis | p. 538 |

Product and Quotient Formulas | p. 545 |

The Extended Power Rule; The Chain Rule | p. 556 |

Higher-Order Derivatives; Velocity and Acceleration | p. 564 |

Implicit Differentiation | p. 571 |

The Derivative of x[superscript p/q] | p. 578 |

Applications: Graphing Functions; Optimization | p. 587 |

Horizontal and Vertical Tangent Lines | p. 588 |

Increasing and Decreasing Functions; The First Derivative Test | p. 592 |

Concavity; The Second Derivative Test | p. 605 |

Asymptotes | p. 619 |

Optimization | p. 628 |

Elasticity of Demand | p. 643 |

Related Rates | p. 649 |

The Differential and Linear Approximations | p. 657 |

Exponential and Logarithm Functions | p. 671 |

The Exponential Function | p. 672 |

The Derivative of the Exponential Function | p. 688 |

The Logarithm Function | p. 693 |

The Derivative of the Logarithm Function | p. 703 |

The Integral Calculus | p. 713 |

Antiderivatives; The Indefinite Integral | p. 714 |

Integration by Substitution; Integration by Parts | p. 725 |

The Definite Integral | p. 734 |

Area under a Graph | p. 744 |

Approximating Definite Integrals | p. 758 |

Improper Integrals | p. 765 |

More Applications of the Integral | p. 772 |

Average Value of a Function | p. 773 |

Discrete Probability Functions | p. 776 |

Probability Density Functions | p. 783 |

Differential Equations | p. 791 |

Functions of Two Or More Variables | p. 802 |

Rectangular Coordinates in Space | p. 803 |

Functions and Their Graphs | p. 806 |

Partial Derivatives | p. 812 |

Local Maxima and Local Minima | p. 818 |

LaGrange Multipliers | p. 825 |

Appendix: Review of Algebra and Geometry for Calculus | p. 834 |

A.1 Real Numbers | p. 835 |

A.2 Factoring Polynomials | p. 844 |

A.3 Quadratic Equations | p. 851 |

A.4 Solving Inequalities | p. 854 |

A.5 Geometry Topics | p. 860 |

Tables | p. 865 |

Answers to Odd-Numbered Problems | p. 875 |

Index | p. 959 |

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