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

Description

&> Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for ISBN-10: 0321947622 /ISBN-13: 9780321947628. That package includes ISBN-10: 0321431308 /ISBN-13: 9780321431301,  ISBN-10: 0321654064/ISBN-13:978032165406, and ISBN-10: 0321945522/ISBN-13: 9780321945525. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. Barnett/Ziegler/Byleen is designed to help students help themselves succeed in the course. This text offers more built-in guidance than any other on the market–with special emphasis on prerequisites skills–and a host of student-friendly features to help students catch up or learn on their own.     Cover Contents Preface Chapter Dependencies Student Supplements Instructor Supplements Technology Resources Diagnostic Prerequisite Test Part 1: A Library of Elementary Functions Chapter 1: Linear Equations and Graphs 1.1 Linear Equations and Inequalities Linear Equations Linear Inequalities Applications 1.2 Graphs and Lines Cartesian Coordinate System Graphs of Ax + By = C Slope of a Line Equations of Lines: Special Forms Applications 1.3 Linear Regression Slope as a Rate of Change Linear Regression Chapter 1: Summary and Review Review Exercises Applications Chapter 2: Functions and Graphs 2.1 Functions Equations in Two Variables Definition of a Function Functions Specified by Equations Function Notation Applications 2.2 Elementary Functions: Graphs and Transformations A Beginning Library of Elementary Functions Vertical and Horizontal Shifts Reflections, Stretches, and Shrinks Piecewise-Defined Functions 2.3 Quadratic Functions Quadratic Functions, Equations, and Inequalities Properties of Quadratic Functions and Their Graphs Applications 2.4 Polynomial and Rational Functions Polynomial Functions Regression Polynomials Rational Functions Applications 2.5 Exponential Functions Exponential Functions Base e Exponential Functions Growth and Decay Applications Compound Interest 2.6 Logarithmic Functions Inverse Functions Logarithmic Functions Properties of Logarithmic Functions Calculator Evaluation of Logarithms Applications Chapter 2: Summary and Review Review Exercises Applications Part 2: Finite Mathematics Chapter 3: Mathematics of Finance 3.1 Simple Interest The Simple Interest Formula Simple Interest and Investments 3.2 Compound and Continuous Compound Interest Compound Interest Continuous Compound Interest Growth and Time Annual Percentage Yield 3.3 Future Value of an Annuity; Sinking Funds Future Value of an Annuity Sinking Funds Approximating Interest Rates 3.4 Present Value of an Annuity; Amortization Present Value of an Annuity Amortization Amortization Schedules General Problem-Solving Strategy Chapter 3: Summary and Review Review Exercises Applications Chapter 4: Systems of Linear Equations; Matrices 4.1 Review: Systems of Linear Equations in Two Variables Systems of Linear Equations in Two Variables Graphing Substitution Elimination by Addition Applications 4.2 Systems of Linear Equations and Augmented Matrices Matrices Solving Linear Systems Using Augmented Matrices Summary 4.3 Gauss–Jordan Elimination Reduced Matrices Solving Systems by Gauss–Jordan Elimination Application 4.4 Matrices: Basic Operations Addition and Subtraction Product of a Number k and a Matrix M Matrix Product 4.5 Inverse of a Square Matrix Identity Matrix for Multiplication Inverse of a Square Matrix Application: Cryptography 4.6 Matrix Equations and Systems of Linear Equations Matrix Equations Matrix Equations and Systems of Linear Equations Application 4.7 Leontief Input–Output Analysis Two-Industry Model Three-Industry Model Chapter 4: Summary and Review Review Exercises Applications Chapter 5: Linear Inequalities and Linear Programming 5.1 Linear Inequalities in Two Variables Graphing Linear Inequalities in Two Variables Application 5.2 Systems of Linear Inequalities in Two Variables Solving Systems of Linear Inequalities Graphically Applications 5.3 Linear Programming in Two Dimensions: A Geometric Approach A Linear Programming Problem General Description of Linear Programming Geometric Method for Solving Linear Programming Problems Applications Chapter 5: Summary and Review Review Exercises Applications Chapter 6: Linear Programming: The Simplex Method 6.1 The Table Method: An Introduction to the Simplex Method Standard Maximization Problems in Standard Form Slack Variables The Table Method: Basic Solutions and Basic Feasible Solutions Basic and Nonbasic Variables Summary 6.2 The Simplex Method: Maximization with Problem Constraints of the Form ≤ Initial System Simplex Tableau Pivot Operation Interpreting the Simplex Process Geometrically Simplex Method Summarized Application 6.3 The Dual Problem: Minimization with Problem Constraints of the Form ≥ Formation of the Dual Problem Solution of Minimization Problems Application: Transportation Problem Summary of Problem Types and Solution Methods 6.4 Maximization and Minimization with Mixed Problem Constraints Introduction to the Big M Method Big M Method Minimization by the Big M Method Summary of Solution Methods Larger Problems: Refinery Application Chapter 6: Summary and Review Review Exercises Applications Chapter 7: Logic, Sets, and Counting 7.1 Logic Propositions and Connectives Truth Tables Logical Implications and Equivalences 7.2 Sets Set Properties and Set Notation Venn Diagrams and Set Operations Application 7.3 Basic Counting Principles Addition Principle Venn Diagram Multiplication Principle 7.4 Permutations and Combinations Factorials Permutations Combinations Applications Chapter 7: Summary and Review Review Exercises Applications Chapter 8: Probability 8.1 Sample Spaces, Events, and Probability Experiments Sample Spaces and Events Probability of an Event Equally Likely Assumption 8.2 Union, Intersection, and Complement of Events; Odds Union and Intersection Complement of an Event Odds Applications to Empirical Probability 8.3 Conditional Probability, Intersection, and Independence Conditional Probability Intersection of Events: Product Rule Probability Trees Independent Events Summary 8.4 Bayes’ Formula 8.5 Random Variable, Probability Distribution, and Expected Value Random Variable and Probability Distribution Expected Value of a Random Variable Decision Making and Expected Value Chapter 8: Summary and Review Review Exercises Applications Chapter 9: Markov Chains 9.1 Properties of Markov Chains Introduction Transition and State Matrices Powers of Transition Matrices Application 9.2 Regular Markov Chains Stationary Matrices Regular Markov Chains Applications Graphing Calculator Approximations 9.3 Absorbing Markov Chains Absorbing States and Absorbing Chains Standard Form Limiting Matrix Graphing Calculator Approximations Chapter 9: Summary and Review Review Exercises Applications Chapter 10: Games and Decisions 10.1 Strictly Determined Games Strictly Determined Matrix Games Nonstrictly Determined Matrix Games 10.2 Mixed-Strategy Games Nonstrictly Determined Games: Example Pure and Mixed Strategies Expected Value of a Game Fundamental Theorem of Game Theory Solution to a 2 : 2 Matrix Game Recessive Rows and Columns 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 Applications Chapter 11: Data Description and Probability Distributions 11.1 Graphing Data Bar Graphs, Broken-Line Graphs, and Pie Graphs Frequency Distributions Comments on Statistics Histograms Frequency Polygons and Cumulative Frequency Polygons 11.2 Measures of Central Tendency Mean Median Mode 11.3 Measures of Dispersion Range Standard Deviation: Ungrouped Data Standard Deviation: Grouped Data Significance of Standard Deviation 11.4 Bernoulli Trials and Binomial Distributions Bernoulli Trials Binomial Formula: Brief Review Binomial Distribution Application 11.5 Normal Distributions Normal Distribution Areas under Normal Curves Approximating a Binomial Distribution with a Normal Distribution Chapter 11: Summary and Review Review Exercises Applications Appendix Appendix A: Basic AlgebraReview A.1 Real Numbers Set of Real Numbers Real Number Line Basic Real Number Properties Further Properties Fraction Properties A.2 Operations on Polynomials Natural Number Exponents Polynomials Combining Like Terms Addition and Subtraction Multiplication Combined Operations A.3 Factoring Polynomials Common Factors Factoring by Grouping Factoring Second-Degree Polynomials Special Factoring Formulas Combined Factoring Techniques A.4 Operations on Rational Expressions Reducing to Lowest Terms Multiplication and Division Addition and Subtraction Compound Fractions A.5 Integer Exponents and Scientific Notation Integer Exponents Scientific Notation A.6 Rational Exponents and Radicals nth Roots of Real Numbers Rational Exponents and Radicals Properties of Radicals A.7 Quadratic Equations Solution by Square Root Solution by Factoring Quadratic Formula Quadratic Formula and Factoring Other Polynomial Equations Application: Supply and Demand Appendix B: Special Topics B.1 Sequences, Series, and Summation Notation Sequences Series and Summation Notation B.2 Arithmetic and Geometric Sequences Arithmetic and Geometric Sequences nth-Term Formulas Sum Formulas for Finite Arithmetic Series Sum Formulas for Finite Geometric Series Sum Formula for Infinite Geometric Series Applications B.3 Binomial Theorem Factorial Development of the Binomial Theorem Appendix C: Tables Table I Area under the Standard Normal Curve Table II Basic Geometric Formulas Answers Index Index of Applications