College mathematics for business, economics, life sciences and social sciences / 11th ed.

A Library of Elementary Functions
Linear Equations and Graphs
Linear Equations and Inequalities
Graphs and Lines
Linear Regression
Review
Review Exercise
Functions and Graphs
Functions
Elementary Functions: Graphs and Transformations
Quadratic Functions
Exponential Functions
Logarithmic Functions
Review
Review Exercise
Finite Mathematics
Mathematics of Finance
Simple Interest
Compound and Continuous Compound Interest
Future Value of an Annuity
Sinking Funds
Present Value of an Annuity
Amortization
Review
Review Exercise
Systems of Linear Equations
Matrices
Review: Systems of Linear Equations in Two Variables
Systems of Linear Equations and Augmented Matrices
Gauss-Jordan Elimination
Matrices: Basic Operations
Inverse of a Square Matrix
Matrix Equations and Systems of Linear Equations
Leontief Input-Output Analysis
Review
Review Exercise
Linear Inequalities and Linear Programming
Inequalities in Two Variables
Systems of Linear Inequalities in Two Variables
Linear Programming in Two Dimensions: A Geometric Approach
Review
Review Exercise
Linear Programming: Simplex Method
A Geometric Introduction to the Simplex Method
The Simplex Method: Maximization with Problem Constraints of the Form =
The Dual Problem
Minimization with Problem Constraints of the Form =
Maximization and Minimization with Mixed Problem Constraints
Review
Review Exercise
Logic, Sets, and Counting
Logic
Sets
Basic Counting Principles
Permutations and Combinations
Review
Review Exercise
Probability
Sample Spaces, Events, and Probability
Union, Intersection, and Complement of Events
Odds
Conditional Probability, Intersection, and Independence
Bayes' Formula
Random Variable, Probability Distribution, and Expected Value
Review
Review Exercise
Markov Chains
Properties of Markov Chains
Regular Markov Chains
Absorbing Markov Chains
Review
Review Exercise
Calculus
Limits and the Derivative
Introduction to Limits
Continuity
Infinite Limits and Limits at Infinity
The Derivative
Basic Differentiation Properties
Differentials
Marginal Analysis in Business and Economics
Review
Review Exercise
Additional Derivative Topics
The Constant e and Continuous Compound Interest
Derivatives of Exponential and Logarithmic Functions
Derivatives of Products and Quotients
The Chain Rule
Implicit Differentiation
Related Rates
Elasticity of Demand
Review
Review Exercise
Graphing and Optimization
First Derivative and Graphs
Second Derivative and Graphs
L'H脙麓pital's Rule
Curve-Sketching Techniques
Absolute Maxima and Minima
Optimization
Review
Review Exercise
Integration
Antiderivatives and Indefinite Integrals
Integration by Substitution
Differential Equations
Growth and Decay
The Definite Integral
The Fundamental Theorem of Calculus
Review
Review Exercise
Additional Integration Topics
Area between Curves
Applications in Business and Economics
Integration by Parts
Integration Using Tables
Review
Review Exercise
Multivariable Calculus
Functions of Several Variables
Partial Derivatives
Maxima and Minima
Maxima and Minima Using Lagrange Multipliers
Method of Least Squares
Double Integrals over Rectangular Regions
Double Integrals over More General Regions
Review
Review Exercise
A Basic Algebra Review
Self-Test on Basic Algebra
Algebra and Real Numbers
Operations on Polynomials
Factoring Polynomials
Operations on Rational Expressions
Integer Exponents and Scientific Notation
Rational Exponents and Radicals
Quadratic Equations
Special Topics
Sequences, Series, and Summation Notation
Arithmetic and Geometric Sequences
The Binomial Theorem
Tables
Basic Geometric Formulas
Integration Formulas
Answers
Index
Applications Index
A Library of Elementary Functions