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

ISBN: 9780139131790 | 0139131795
Edition: 8th
Format: Hardcover
Publisher: Pearson College Div
Pub. Date: 12/1/1998

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SummaryTable of Contents
This is the revision of the very successful Barnett/Ziegler/Byleen finite text. Including even more optional usage of the graphing calculator and Excel, this text provides a solid foundation for students of all majors. Full website, downloadable, accompanies text.
Prefacexi
PART ONE A LIBRARY OF ELEMENTARY FUNCTIONS1(126)
Chapter 1 A Beginning Library of Elementary Functions
3(74)
1-1 Function... MORE
3(20)
1-2 Elementary Functions: Graphs and Transformations
23(13)
1-3 Linear Functions and Straight Lines
36(16)
1-4 Quadratic Functions
52(15)
Important Terms and Symbols
67(1)
Review Exercise
68(4)
Group Activity 1: Introduction to Regression Analysis
72(2)
Group Activity 2: Mathematical Modeling in Business
74(3)
Chapter 2 Additional Elementary Functions
77(50)
2-1 Polynomial and Rational Functions
77(16)
2-2 Exponential Functions
93(14)
2-3 Logarithmic Functions
107(13)
Important Terms and Symbols
120(1)
Review Exercise
120(3)
Group Activity 1: Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions
123(1)
Group Activity 2: Comparing Regression Models
124(3)
PART TWO FINITE MATHEMATICS127
Chapter 3 Mathematics of Finance
129(46)
3-1 Simple Interest
129(6)
3-2 Compound Interest
135(14)
3-3 Future Value of an Annuity; Sinking Funds
149(7)
3-4 Present Value of an Annuity; Amortization
156(12)
Important Terms and Symbols
168(1)
Review Exercise
168(3)
Group Activity 1: Reducing Interest Payments on a Home Mortgage
171(1)
Group Activity 2: Yield to Maturity and Internal Rate of Return
172(3)
Chapter 4 Systems of Linear Equations; Matrices
175(90)
4-1 Review: Systems of Linear Equations in Two Variables
176(13)
4-2 Systems of Linear Equations and Augmented Matrices
189(10)
4-3 Gauss-Jordan Elimination
199(15)
4-4 Matrices: Basic Operations
214(13)
4-5 Inverse of a Square Matrix
227(12)
4-6 Matrix Equations and Systems of Linear Equations
239(11)
4-7 Leontief Input-Output Analysis
250(8)
Important Terms and Symbols
258(1)
Review Exercise
259(3)
Group Activity 1: Using Matrices to Find Cost, Revenue, and Profit
262(1)
Group Activity 2: Direct and Indirect Operating Costs
263(2)
Chapter 5 Linear Inequalities and Linear Programming
265(100)
5-1 Systems of Linear Inequalities in Two Variables
265(14)
5-2 Linear Programming in Two Dimensions-A Geometric Approach
279(15)
5-3 A Geometric Introduction to the Simplex Method
294(8)
5-4 The Simplex Method: Maximization with Problem Constraints of the Form Less Than
302(20)
5-5 The Dual; Minimization with Problem Constraints of the Form XXX
322(17)
5-6 Maximization and Minimization with Mixed Problem Constraints
339(19)
Important Terms and Symbols
358(1)
Review Exercise
359(2)
Group Activity 1: The Two-Phase Method (An Alternative to the Big M Method)
361(3)
Group Activity 2: Production Scheduling
364(1)
Chapter 6 Probability
365(98)
6-1 Basic Counting Principles
366(10)
6-2 Permutations and Combinations
376(13)
6-3 Sample Spaces, Events, and Probability
389(16)
6-4 Union, Intersection, and Complement of Events; Odds
405(15)
6-5 Conditional Probability, Intersection, and Independence
420(16)
6-6 Bayes' Formula
436(7)
6-7 Random Variable, Probability, Distribution, and Expected Value
443(10)
Important Terms and Symbols
453(1)
Review Exercise
454(5)
Group Activity 1: Car and Crying Towels
459(1)
Group Activity 2: Simulation-A Draft Lottery for Professional Sports
460(3)
Chapter 7 Data Description and Probability Distributions
463(64)
7-1 Graphing Data
463(7)
7-2 Graphing Quantitative Data
470(9)
7-3 Measures of Central Tendency
479(11)
7-4 Measures of Dispersion
490(8)
7-5 Bernoulli Trials and Binomial Distributions
498(12)
7-6 Normal Distributions
510(12)
Important Terms and Symbols
522(1)
Review Exercise
523(2)
Group Activity 1: Analysis of Data on Student Lifestyle
525(1)
Group Activity 2: Survival Rates for a Heart Transplant
526(1)
Chapter 8 Games and Decisions
527(38)
8-1 Strictly Determined Games
528(7)
8-2 Mixed Strategy Games
535(11)
8-3 Linear Programming and 2 X 2 Games-Geometric Approach
546(7)
8-4 Linear Programming and m X n Games--Simplex Method and the Dual
553(6)
Important Terms and Symbols
559(1)
Review Exercise
560(1)
Group Activity 1: Baseball Strategy
561(1)
Group Activity 2: Simulation of Matrix Games
561(4)
Chapter 9 Markov Chains
565(48)
9-1 Properties of Markov Chains
565(13)
9-2 Regular Markov Chains
578(12)
9-3 Absorbing Markov Chains
590(16)
Important Terms and Symbols
606(1)
Review Exercise
606(4)
Group Activity 1: Social Mobility
610(1)
Group Activity 2: Gambler's Ruin
611(2)
Appendix A Basic Algebra Review
613(68)
Self-Test on Basic Algebra
613(2)
A-1 Sets
615(6)
A-2 Algebra and Real Numbers
621(7)
A-3 Operations on Polynomials
628(7)
A-4 Factoring Polynomials
635(6)
A-5 Operations on Rational Expressions
641(7)
A-6 Integer Exponents and Scientific Notation
648(6)
A-7 Rational Exponents and Radicals
654(7)
A-8 Linear Equations and Inequalities in One Variable
661(10)
A-9 Quadratic Equations
671(10)
Appendix B Special Topics
681(18)
B-1 Sequences, Series, and Summation Notation
681(6)
B-2 Arithmetic and Geometric Sequences
687(8)
B-3 The Binomial Theorem
695(4)
Appendix C Tables
699
Table I Area Under the Standard Normal Curve
699(1)
Table II Basic Geometric Formulas
700
AnswersA-1
Index1-1
Library of Elementary Functions Inside front cover
Applications Index Inside back cover

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