9780321334336

Mathematics with Applications

by ; ;
  • ISBN13:

    9780321334336

  • ISBN10:

    0321334337

  • Edition: 9th
  • Format: Hardcover
  • Copyright: 1/1/2007
  • Publisher: Addison Wesley
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Summary

This edition ofMathematics with Applicationscontinues to be an excellent learning tool for applied mathematics students. As always, the text includes the popular margin exercises as well as comprehensive review of algebraic topics, but with this revision comes the fresh insight of a new co-author. Also, at our customers'request, this textbook has additional calculus content, allowing the book to be all that you need and more.

Table of Contents

Preface ix
To the Student xix
Algebra and Equations
1(70)
The Real Numbers
2(10)
Polynomials
12(7)
Factoring
19(7)
Rational Expressions
26(6)
Exponents and Radicals
32(13)
First-Degree Equations
45(11)
Quadratic Equations
56(13)
Chapter 1 Summary
65(1)
Chapter 1 Review Exercises
66(3)
Case 1 Consumers Often Defy Common Sense
69(2)
Graphs, Lines, and Inequalities
71(58)
Graphs
72(11)
Equations of Lines
83(13)
Linear Models
96(11)
Linear Inequalities
107(8)
Polynomial and Rational Inequalities
115(11)
Chapter 2 Summary
122(1)
Chapter 2 Review Exercises
123(3)
Case 2 Using Extrapolation to Predict Life Expectancy
126(3)
Functions and Graphs
129(75)
Functions
130(9)
Graphs of Functions
139(12)
Applications of Linear Functions
151(12)
Quadratic Functions
163(8)
Applications of Quadratic Functions
171(8)
Polynomial Functions
179(9)
Rational Functions
188(15)
Chapter 3 Summary
198(1)
Chapter 3 Review Exercises
199(4)
Case 3 Architectural Arches
203(1)
Exponential and Logarithmic Functions
204(45)
Exponential Functions
205(10)
Applications of Exponential Functions
215(7)
Logarithmic Functions
222(10)
Logarithmic and Exponential Equations
232(15)
Chapter 4 Summary
242(1)
Chapter 4 Review Exercises
243(4)
Case 4 Characteristics of the Monkeyface Prickleback
247(2)
Mathematics of Finance
249(46)
Simple Interest and Discount
250(6)
Compound Interest
256(12)
Future Value of an Annuity and Sinking Funds
268(10)
Present Value of an Annuity and Amortization
278(15)
Chapter 5 Summary
287(2)
Chapter 5 Review Exercises
289(4)
Case 5 Time, Money, and Polynomials
293(2)
Systems of Linear Equations and Matrices
295(72)
Systems of Linear Equations
296(18)
The Gauss-Jordan Method
314(11)
Basic Matrix Operations
325(8)
Matrix Products and Inverses
333(14)
Applications of Matrices
347(18)
Chapter 6 Summary
360(1)
Chapter 6 Review Exercises
361(4)
Case 6 Matrix Operations and Airline Route Maps
365(2)
Linear Programming
367(74)
Graphing Linear Inequalities in Two Variables
368(8)
Linear Programming: The Graphical Method
376(8)
Applications of Linear Programming
384(7)
The Simplex Method: Maximization
391(14)
Maximization Applications
405(6)
The Simplex Method: Duality and Minimization
411(11)
The Simplex Method: Nonstandard Problems
422(17)
Chapter 7 Summary
435(1)
Chapter 7 Review Exercises
436(3)
Case 7 Cooking with Linear Programming
439(2)
Sets and Probability
441(68)
Sets
442(9)
Applications of Venn Diagrams
451(10)
Introduction to Probability
461(8)
Basic Concepts of Probability
469(11)
Conditional Probability and Independent Events
480(14)
Bayes' Formula
494(13)
Chapter 8 Summary
501(1)
Chapter 8 Review Exercises
502(5)
Case 8 Medical Diagnosis
507(2)
Counting, Probability Distributions, and Further Topics in Probability
509(62)
Probability Distributions and Expected Value
510(11)
The Multiplication Principle, Permutations, and Combinations
521(14)
Applications of Counting
535(6)
Binomial Probability
541(7)
Markov Chains
548(13)
Decision Making
561(8)
Chapter 9 Summary
565(1)
Chapter 9 Review Exercises
566(3)
Case 9 Optimal Inventory for a Service Truck
569(2)
Introduction to Statistics
571(52)
Frequency Distributions and Measures of Central Tendency
572(14)
Measures of Variation
586(10)
Normal Distributions
596(14)
Normal Approximation to the Binomial Distribution
610(10)
Chapter 10 Summary
617(1)
Chapter 10 Review Exercises
618(2)
Case 10 Statistics in the Law---The Castaneda Decision
620(3)
Differential Calculus
623(294)
Limits
624(12)
One-sided Limits and Limits Involving Infinity
636(11)
Rates of Change
647(13)
Tangent Lines and Derivatives
660(257)
Appendix A Graphing Calculators
917(2)
Appendix B Tables
919
Table 1: Formulas from Geometry
919(1)
Table 2: Areas under the Normal Curve
920(2)
Table 3: Integrals
922
Answers to Selected Exercises 1(1)
Index of Applications 1(8)
Index 9

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