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Mathematics With Applications: In the Management, Natural, and Social Sciences,9780321022943

Mathematics With Applications: In the Management, Natural, and Social Sciences

by ;
Edition:
7th
ISBN13:

9780321022943

ISBN10:
0321022947
Format:
Hardcover
Pub. Date:
8/1/1998
Publisher(s):
Pearson College Div
List Price: $136.00

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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 technology.

Table of Contents

Preface xi(4)
To the Student xv
CHAPTER 1 Fundamentals of Algebra
1(52)
1.1 The Real Numbers
1(10)
1.2 First-Degree Equations
11(11)
1.3 Polynomials
22(6)
1.4 Factoring
28(5)
1.5 Rational Expressions
33(6)
1.6 Exponents and Radicals
39(8)
Chapter 1 Summary
47(2)
Chapter 1 Review Exercises
49(2)
Case 1 Consumers Often Defy Common Sense
51(2)
CHAPTER 2 Graphs, Equations, and Inequalities
53(63)
2.1 Graphs
53(8)
2.2 Slope and the Equations of a Line
61(13)
2.3 Applications of Linear Equations
74(11)
2.4 Quadratic Equations
85(10)
2.5 Linear Inequalities
95(8)
2.6 Polynomial and Rational Inequalities
103(6)
Chapter 2 Summary
109(1)
Chapter 2 Review Exercises
110(3)
Case 2 Depreciation
113(3)
CHAPTER 3 Functions and Graphs
116(33)
3.1 Functions
116(8)
3.2 Graphs of Functions
124(12)
3.3 Applications of Linear Functions
136(10)
Chapter 3 Summary
146(1)
Chapter 3 Review Exercises
146(2)
Case 3 Marginal Cost-Booz, Allen and Hamilton
148(1)
CHAPTER 4 Polynomial and Rational Functions
149(36)
4.1 Quadratic Functions
149(8)
4.2 Applications of Quadratic Functions
157(7)
4.3 Polynomial Functions
164(8)
4.4 Rational Functions
172(9)
Chapter 4 Summary
181(1)
Chapter 4 Review Exercises
181(2)
Case 4 Error-Correcting Codes
183(2)
CHAPTER 5 Exponential and Logarithmic Functions
185(40)
5.1 Exponential Functions
185(8)
5.2 Applications of Exponential Functions
193(7)
5.3 Logarithmic Functions
200(11)
5.4 Applications of Logarithmic Functions
211(8)
Chapter 5 Summary
219(1)
Chapter 5 Review Exercises
220(3)
Case 5 Characteristics of the Monkeyface Prickleback
223(2)
CHAPTER 6 Mathematics of Finance
225(40)
6.1 Simple Interest and Discount
225(6)
6.2 Compound Interest
231(9)
6.3 Annuities
240(10)
6.4 Present Value of an Annuity; Amortization
250(6)
6.5 Applying Financial Formulas
256(3)
Chapter 6 Summary
259(1)
Chapter 6 Review Exercises
260(3)
Case 6 Time, Money, and Polynomials
263(2)
CHAPTER 7 Systems of Linear Equations and Matrices
265(59)
7.1 Systems of Linear Equations
265(14)
7.2 The Gauss-Jordan Method
279(8)
7.3 Basic Matrix Operations
287(8)
7.4 Matrix Products and Inverses
295(12)
7.5 Applications of Matrices
307(9)
Chapter 7 Summary
316(2)
Chapter 7 Review Exercises
318(3)
Case 7 Leontief's Model of the American Economy
321(3)
CHAPTER 8 Linear Programming
324(67)
8.1 Graphing Linear Inequalities in Two Variables
324(8)
8.2 Linear Programming: The Graphical Method
332(8)
8.3 Applications of Linear Programming
340(7)
8.4 The Simplex Method: Maximization
347(13)
8.5 Maximization Applications
360(5)
8.6 The Simplex Method: Duality and Minimization
365(9)
8.7 The Simplex Method: Nonstandard Problems
374(11)
Chapter 8 Summary
385(1)
Chapter 8 Review Exercises
386(4)
Case 8 A Minimum Cost Balanced Organic Fertilizer Mix
390(1)
CHAPTER 9 Sets and Probability
391(60)
9.1 Sets
391(9)
9.2 Applications of Venn Diagrams
400(9)
9.3 Probability
409(7)
9.4 Basic Concepts of Probability
416(11)
9.5 Conditional Probability; Independent Events
427(12)
9.6 Bayes' Formula
439(7)
Chapter 9 Summary
446(1)
Chapter 9 Review Exercises
447(3)
Case 9 Medical Diagnosis
450(1)
CHAPTER 10 Further Topics in Probability
451(55)
10.1 Permutations and Combinations
451(12)
10.2 Applications of Counting
463(6)
10.3 Binomial Probability
469(5)
10.4 Markov Chains
474(10)
10.5 Probability Distributions; Expected Value
484(12)
10.6 Decision Making
496(4)
Chapter 10 Summary
500(1)
Chapter 10 Review Exercises
501(3)
Case 10 Optimal Inventory for a Service Truck
504(2)
CHAPTER 11 Introduction to Statistics
506(41)
11.1 Frequency Distributions; Measures of Central Tendency
506(10)
11.2 Measures of Variation
516(9)
11.3 Normal Distributions
525(10)
11.4 Binomial Distributions
535(7)
Chapter 11 Summary
542(1)
Chapter 11 Review Exercises
543(2)
Case 11 Statistical Process Control
545(2)
CHAPTER 12 Differential Calculus
547(86)
12.1 Limits
547(11)
12.2 Rates of Change
558(9)
12.3 Tangent Lines and Derivatives
567(15)
12.4 Techniques for Finding Derivatives
582(12)
12.5 Derivatives of Products and Quotients
594(7)
12.6 The Chain Rule
601(10)
12.7 Derivatives of Exponential and Logarithmic Functions
611(7)
12.8 Continuity and Differentiability
618(8)
Chapter 12 Summary
626(2)
Chapter 12 Review Exercises
628(3)
Case 12 Price Elasticity of Demand
631(2)
CHAPTER 13 Applications of the Derivative
633(52)
13.1 Derivatives and Graphs
633(15)
13.2 The Second Derivative
648(11)
13.3 Optimization Applications
659(14)
13.4 Curve Sketching (Optional)
673(8)
Chapter 13 Summary
681(1)
Chapter 13 Review Exercises
682(1)
Case 13 A Total Cost Model for a Training Program
683(2)
CHAPTER 14 Integral Calculus
685(62)
14.1 Antiderivatives
685(9)
14.2 Integration by Substitution
694(8)
14.3 Area and the Definite Integral
702(9)
14.4 The Fundamental Theorem of Calculus
711(11)
14.5 Applications of Integrals
722(10)
14.6 Tables of Integrals (Optional)
732(2)
14.7 Differential Equations
734(8)
Chapter 14 Summary
742(1)
Chapter 14 Review Exercises
743(2)
Case 14 Estimating Depletion Dates for Minerals
745(2)
CHAPTER 15 Multivariate Calculus
747(28)
15.1 Functions of Several Variables
747(9)
15.2 Partial Derivatives
756(9)
15.3 Extrema of Functions of Several Variables
765(7)
Chapter 15 Summary
772(2)
Chapter 15 Review Exercises
774(1)
Appendix A Graphing Calculators 775(1)
Part 1: Introduction 775(6)
Part 2: Program Appendix 781(20)
Appendix B Tables 801
Answers to Selected Exercises A-1
Index of Applications I-1
Index I-9


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