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Mathematics with Applications, Finite Version (Chapters 1-10),9780201770032
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Mathematics with Applications, Finite Version (Chapters 1-10)

by ;
Edition:
8th
ISBN13:

9780201770032

ISBN10:
0201770032
Format:
Hardcover
Pub. Date:
1/1/2003
Publisher(s):
Addison Wesley

Summary

Best known for realistic and varied applications, an abundance of helpful pedagogy, and solid algebra review, the new edition of this text offers updated and new applications, and increased optional graphing calculator technology.

Table of Contents

Preface ix
To the Student xv
Algebra and Equations
1(65)
The Real Numbers
1(10)
Polynomials
11(6)
Factoring
17(5)
Rational Expressions
22(7)
Exponents and Radicals
29(10)
First-Degree Equations
39(11)
Quadratic Equations
50(16)
Chapter 1 Summary
60(1)
Chapter 1 Review Exercises
61(3)
Case 1 Consumers Often Defy Common Sense
64(2)
Graphs, Lines, and Inequalities
66(54)
Graphs
66(10)
Equations of Lines
76(13)
Linear Models
89(11)
Linear Inequalities
100(8)
Polynomial and Rational Inequalities
108(12)
Chapter 2 Summary
114(1)
Chapter 2 Review Exercises
115(3)
Case 2 Using Extrapolation to Predict Life Expectancy
118(2)
Functions and Graphs
120(72)
Functions
120(8)
Graphs of Functions
128(13)
Applications of Linear Functions
141(11)
Quadratic Functions
152(7)
Applications of Quadratic Functions
159(9)
Polynomial Functions
168(9)
Rational Functions
177(15)
Chapter 3 Summary
187(1)
Chapter 3 Review Exercises
188(4)
Exponential and Logarithmic Functions
192(39)
Exponential Functions
192(7)
Applications of Exponential Functions
199(8)
Logarithmic Functions
207(8)
Logarithmic and Exponential Equations
215(16)
Chapter 4 Summary
225(1)
Chapter 4 Review Exercises
226(3)
Case 3 Characteristics of the Monkeyface Prickleback
229(2)
Mathematics of Finance
231(44)
Simple Interest and Discount
231(7)
Compound Interest
238(11)
Future Value of an Annuity and Sinking Funds
249(10)
Present Value of an Annuity and Amortization
259(16)
Chapter 5 Summary
268(1)
Chapter 5 Review Exercises
269(4)
Case 4 Time, Money, and Polynomials
273(2)
Systems of Linear Equations and Matrices
275(68)
Systems of Linear Equations
275(16)
The Gauss-Jordan Method
291(11)
Basic Matrix Operations
302(8)
Matrix Products and Inverses
310(14)
Applications of Matrices
324(19)
Chapter 6 Summary
336(1)
Chapter 6 Review Exercises
337(4)
Case 5 Matrix Operations and Airline Route Maps
341(2)
Linear Programming
343(72)
Graphing Linear Inequalities in Two Variables
343(8)
Linear Programming: The Graphical Method
351(7)
Applications of Linear Programming
358(8)
The Simplex Method: Maximization
366(14)
Maximization Applications
380(7)
The Simplex Method: Duality and Minimization
387(9)
The Simplex Method: Nonstandard Problems
396(19)
Chapter 7 Summary
409(1)
Chapter 7 Review Exercises
410(3)
Case 6 Cooking with Linear Programming
413(2)
Sets and Probability
415(66)
Sets
415(9)
Applications of Venn Diagrams
424(9)
Introduction to Probability
433(8)
Basic Concepts of Probability
441(10)
Conditional Probability and Independent Events
451(14)
Bayes' Formula
465(16)
Chapter 8 Summary
472(2)
Chapter 8 Review Exercises
474(5)
Case 7 Medical Diagnosis
479(2)
Counting, Probability Distributions, and Further Topics in Probability
481(64)
Permutations and Combinations
481(14)
Applications of Counting
495(8)
Binomial Probability
503(7)
Probability Distributions and Expected Value
510(12)
Markov Chains
522(12)
Decision Making
534(11)
Chapter 9 Summary
538(1)
Chapter 9 Review Exercises
539(3)
Case 8 Optimal Inventory for a Service Truck
542(3)
Introduction to Statistics
545(52)
Frequency Distributions and Measures of Central Tendency
545(15)
Measures of Variation
560(10)
Normal Distributions
570(13)
Normal Approximation to the Binomial Distribution
583(14)
Chapter 10 Summary
590(1)
Chapter 10 Review Exercises
591(3)
Case 9 Statistics in the Law---The Castaneda Decision
594(3)
Appendix A Graphing Calculators 597(2)
Appendix B Tables 599
Table 1: Formulas from Geometry
599
Table 2: Areas Under the Normal Curve
600
Table 3: Integrals
602
Answers to Selected Exercises A-1
Index of Applications I-1
Index I-9


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