College mathematics for business, economics, life sciences, and social sciences.

Front Cover
Title Page
Copyright Page
Contents
Preface
Diagnostic Prerequisite Test
Chapter 1 Linear Equations and Graphs
	1.1 Linear Equations and Inequalities
	1.2 Graphs and Lines
	1.3 Linear Regression
	Chapter 1 Summary and Review
	Review Exercises
Chapter 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 Summary and Review
	Review Exercises
Chapter 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 Summary and Review
	Review Exercises
Chapter 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 Summary and Review
	Review Exercises
Chapter 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 Summary and Review
	Review Exercises
Chapter 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 Problem: Minimization with Problem Constraints of the Form ú
	6.4 Maximization and Minimization with Mixed Problem Constraints
	Chapter 6 Summary and Review
	Review Exercises
Chapter 7 Logic, Sets, and Counting
	7.1 Logic
	7.2 Sets
	7.3 Basic Counting Principles
	7.4 Permutations and Combinations
	Chapter 7 Summary and Review
	Review Exercises
Chapter 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 Variable, Probability Distribution, and Expected Value
	Chapter 8 Summary and Review
	Review Exercises
Chapter 9 Limits and the Derivative
	9.1 Introduction to Limits
	9.2 Infinite Limits and Limits at Infinity
	9.3 Continuity
	9.4 The Derivative
	9.5 Basic Differentiation Properties
	9.6 Differentials
	9.7 Marginal Analysis in Business and Economics
	Chapter 9 Summary and Review
	Review Exercises
Chapter 10 Additional Derivative Topics
	10.1 the Constant E and Continuous Compound Interest
	10.2 Derivatives of Exponential and Logarithmic Functions
	10.3 Derivatives of Products and Quotients
	10.4 The Chain Rule
	10.5 Implicit Differentiation
	10.6 Related Rates
	10.7 Elasticity of Demand
	Chapter 10 Summary and Review
	Review Exercises
Chapter 11 Graphing and Optimization
	11.1 First Derivative and Graphs
	11.2 Second Derivative and Graphs
	11.3 L’Hôpital’s Rule
	11.4 Curve-Sketching Techniques
	11.5 Absolute Maxima and Minima
	11.6 Optimization
	Chapter 11 Summary and Review
	Review Exercises
Chapter 12 Integration
	12.1 Antiderivatives and Indefinite Integrals
	12.2 Integration by Substitution
	12.3 Differential Equations; Growth and Decay
	12.4 The Definite Integral
	12.5 The Fundamental Theorem of Calculus
	Chapter 12 Summary and Review
	Review Exercises
Chapter 13 Additional Integration Topics
	13.1 Area Between Curves
	13.2 Applications in Business and Economics
	13.3 Integration by Parts
	13.4 Other Integration Methods
	Chapter 13 Summary and Review
	Review Exercises
Chapter 14 Multivariable Calculus
	14.1 Functions of Several Variables
	14.2 Partial Derivatives
	14.3 Maxima and Minima
	14.4 Maxima and Minima Using Lagrange Multipliers
	14.5 Method of Least Squares
	14.6 Double Integrals over Rectangular Regions
	14.7 Double Integrals over More General Regions
	Chapter 14 Summary and Review
	Review Exercises
Chapter 15 Markov Chains
	15.1 Properties of Markov Chains
	15.2 Regular Markov Chains
	15.3 Absorbing Markov Chains
	Chapter 15 Summary and Review
	Review Exercises
Appendix A Basic Algebra Review
	A.1 Real Numbers
	A.2 Operations on Polynomials
	A.3 Factoring Polynomials
	A.4 Operations on Rational Expressions
	A.5 Integer Exponents and Scientific Notation
	A.6 Rational Exponents and Radicals
	A.7 Quadratic Equations
Appendix C Integration Formulas
Answers
Index
Index of Applications