College mathematics for business, economics, life sciences, and social sciences / Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen.

Includes index.

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Diagnostic Prerequisite Test PART ONE: A LIBRARY OF ELEMENTARY FUNCTIONS 1. Linear Equations and Graphs 1.1 Linear Equations and Inequalities 1.2 Graphs and Lines 1.3 Linear Regression Chapter 1 Review Review Exercises 2. Functions and Graphs 2.1 Functions 2.2 Elementary Functions: Graphs and Transformations 2.3 Quadratic Functions 2.4 Polynomial and Rational Functions 2.5 Exponential Functions 2.6 Logarithmic Functions Chapter 2 Review Review Exercises PART TWO: FINITE MATHEMATICS 3. Mathematics of Finance 3.1 Simple Interest 3.2 Compound and Continuous Compound Interest 3.3 Future Value of an Annuity; Sinking Funds 3.4 Present Value of an Annuity; Amortization Chapter 3 Review Review Exercises 4. Systems of Linear Equations; Matrices 4.1 Review: Systems of Linear Equations in Two Variables 4.2 Systems of Linear Equations and Augmented Matrices 4.3 Gauss-Jordan Elimination 4.4 Matrices: Basic Operations 4.5 Inverse of a Square Matrix 4.6 Matrix Equations and Systems of Linear Equations 4.7 Leontief Input-Output Analysis Chapter 4 Review Review Exercises 5. Linear Inequalities and Linear Programming 5.1 Linear Inequalities in Two Variables 5.2 Systems of Linear Inequalities in Two Variables 5.3 Linear Programming in Two Dimensions: A Geometric Approach Chapter 5 Review Review Exercises 6. Linear Programming: The Simplex Method 6.1 The Table Method: An Introduction to the Simplex Method 6.2 The Simplex Method: Maximization with Problem Constraints of the Form 6.3 The Dual; Minimization with Problem Constraints of the form 6.4 Maximization and Minimization with Mixed Problem Constraints Chapter 6 Review Review Exercises 7. Logic, Sets, and Counting 7.1 Logic 7.2 Sets 7.3 Basic Counting Principles 7.4 Permutations and Combinations Chapter 7 Review Review Exercises 8. Probability 8.1 Sample Spaces, Events, and Probability 8.2 Union, Intersection, and Complement of Events; Odds 8.3 Conditional Probability, Intersection, and Independence 8.4 Bayes' Formula 8.5 Random Variables, Probability Distribution, and Expected Value Chapter 8 Review Review Exercises 9. Markov Chains 9.1 Properties of Markov Chains 9.2 Regular Markov Chains 9.3 Absorbing Markov Chains Chapter 9 Review Review Exercises PART THREE: CALCULUS 10. Limits and the Derivative 10.1 Introduction to Limits 10.2 Infinite Limits and Limits at Infinity 10.3 Continuity 10.4 The Derivative 10.5 Basic Differentiation Properties 10.6 Differentials 10.7 Marginal Analysis in Business and Economics Chapter 10 Review Review Exercises 11. Additional Derivative Topics 11.1 The Constant e and Continuous Compound Interest 11.2 Derivatives of Logarithmic and Exponential Functions 11.3 Derivatives of Products and Quotients 11.4 The Chain Rule 11.4 Implicit Differentiation 11.5 Related Rates 11.7 Elasticity of Demand Chapter 11 Review Review Exercises 12. Graphing and Op