Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences

Cover
Title Page
Copyright Page
Acknowledgments
Contents
Preface
Diagnostic Prerequisite Test
PART 1 A LIBRARY OF ELEMENTARY FUNCTIONS
	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
PART 2 FINITE MATHEMATICS
	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 ≥
		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 Markov Chains
		9.1 Properties of Markov Chains
		9.2 Regular Markov Chains
		9.3 Absorbing Markov Chains
		Chapter 9 Summary and Review
		Review Exercises
	Chapter 10 Games and Decisions
		10.1 Strictly Determined Games
		10.2 Mixed-Strategy Games
		10.3 Linear Programming and 2 × 2 Games: A Geometric Approach
		10.4 Linear Programming and m × n Games: Simplex Method and the Dual Problem
		Chapter 10 Summary and Review
		Review Exercises
	Chapter 11 Data Description and Probability Distributions
		11.1 Graphing Data
		11.2 Measures of Central Tendency
		11.3 Measures of Dispersion
		11.4 Bernoulli Trials and Binomial Distributions
		11.5 Normal Distributions
		Chapter 11 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 B: Special Topics
	B.1 Sequences, Series, and Summation Notation
	B.2 Arithmetic and Geometric Sequences
	B.3 Binomial Theorem
Appendix C: Tables
	Table I Area under the Standard Normal Curve
	Table II Basic Geometric Formulas
Answers
Index
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Index of Applications
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