Preface | |

Some Preliminaries | p. 2 |

Solving First-Degree Equations in One Variable | p. 4 |

Solving Second-Degree Equations in One Variable | p. 8 |

Inequalities and Their Solution | p. 11 |

Absolute Value Relationships | p. 19 |

Rectangular Coordinate Systems | p. 23 |

Equations and Functions | |

Linear Equations | p. 32 |

Characteristics of Linear Equations | p. 34 |

Graphical Characteristics | p. 42 |

Slope-Intercept Form | p. 52 |

Determining the Equation of a Straight Line | p. 56 |

Linear Equations Involving More than Two Variables | p. 66 |

Additional Applications | p. 72 |

Systems of Linear Equations | p. 84 |

Two-Variable Systems of Equations | p. 86 |

Gaussian Elimination Method | p. 97 |

n-Variable Systems, n[actual symbol not reproducible]3 | p. 105 |

Selected Applications | p. 113 |

Final Notes | p. 120 |

Mathematical Functions | p. 134 |

Functions | p. 136 |

Types of Functions | p. 152 |

Graphical Representation of Functions | p. 162 |

Linear Functions: Applications | p. 174 |

Linear Functions | p. 176 |

Other Examples of Linear Functions | p. 183 |

Break-Even Models | p. 196 |

Quadratic and Polynomial Functions | p. 216 |

Quadratic Functions and Their Characteristics | p. 218 |

Quadratic Functions: Applications | p. 229 |

Polynomial and Rational Functions | p. 239 |

Exponential and Logarithmic Functions | p. 254 |

Characteristics of Exponential Functions | p. 256 |

Applications of Exponential Functions | p. 267 |

Logarithms and Logarithmic Functions | p. 276 |

Finite Mathematics | |

Mathematics of Finance | p. 300 |

Interest and Its Computation | p. 302 |

Single Payment Computations | p. 308 |

Annuities and Their Future Value | p. 319 |

Annuities and Their Present Value | p. 325 |

Cost-Benefit Analysis | p. 334 |

Matrix Algebra | p. 348 |

Introduction to Matrices | p. 350 |

Special Types of Matrices | p. 352 |

Matrix Operations | p. 356 |

The Determinant | p. 368 |

The Inverse of a Matrix | p. 381 |

Selected Applications | p. 391 |

Linear Programming: An Introduction | p. 420 |

Linear Programming | p. 422 |

Graphical Solutions | p. 424 |

Applications of Linear Programming | p. 441 |

The Simplex and Computer Solution Methods | p. 462 |

Simplex Preliminaries | p. 464 |

The Simplex Method | p. 477 |

Special Phenomena | p. 496 |

Computer Solution Methods | p. 502 |

The Dual Problem | p. 510 |

Transportation and Assignment Models | p. 522 |

The Transportation Model | p. 524 |

Solutions to Transportation Models | p. 528 |

The Assignment Modi and Methods of Solution | p. 543 |

Introduction to Probability Theory | p. 556 |

Introduction to Sets and Set Operations | p. 559 |

Permutations and Combination | p. 567 |

Basic Probability Concepts | p. 577 |

States of Statistical Independence and Dependence | p. 592 |

Probability Distributions | p. 612 |

Random Variables and Probability Distributions | p. 614 |

Measures of Central Tendency and Variation | p. 624 |

The Binomial Probability Distribution | p. 633 |

The Normal Probability Distribution | p. 642 |

The Calculus | |

Differentiation | p. 662 |

Limits | p. 664 |

Properties of Limits and Continuity | p. 672 |

Average Rate of Change | p. 684 |

The Derivative | p. 692 |

Differentiation | p. 702 |

Additional Rules of Differentiation | p. 708 |

Instantaneous-Rate-of-Change Interpretation | p. 713 |

Higher-Order Derivatives | p. 717 |

Optimization: Methodology | p. 732 |

Derivatives: Additional Interpretations | p. 734 |

Identification of Maxima and Minima | p. 745 |

Curve Sketching | p. 761 |

Restricted-Domain Considerations | p. 767 |

Optimization: Applications | p. 774 |

Revenue, Cost, and Profit Applications | p. 776 |

Additional Applications | p. 798 |

Integral Calculus: An Introduction | p. 826 |

Antiderivatives | p. 828 |

Rules of Integration | p. 834 |

Additional Rules of Integration | p. 839 |

Other Techniques of Integration (Optional) | p. 845 |

Differential Equations | p. 858 |

Integral Calculus: Applications | p. 870 |

Definite Integrals | p. 872 |

Definite Integrals and Areas | p. 883 |

Methods of Approximation | p. 895 |

Applications of Integral Calculus | p. 903 |

Integral Calculus and Probability (Optional) | p. 917 |

Optimization: Functions of Several Variables | p. 928 |

Graphical Representation of Bivariate Functions | p. 930 |

Partial Derivatives | p. 935 |

Optimization of Bivariate Functions | p. 947 |

Applications of Bivariate Optimization | p. 962 |

n-Variable Optimization (Optional) | p. 974 |

Optimization Subject to Constraints (Optional) | p. 979 |

Compound-Interest Tables | p. T-1 |

Appendix A: A Review of Algebra (Optional) | p. A-1 |

Appendix B: Summation Notation | p. A-23 |

Selected Answers: Follow-Up Exercises and Chapter Tests | p. A-25 |

Index | p. I-1 |

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