| 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. |