| 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 |
| Table of Contents provided by Blackwell. All Rights Reserved. |