Mathematics with Applications

by Lial, Margaret; Hungerford, Thomas W.; Holcomb, John

• ISBN13: 9780321334336
• ISBN10: 0321334337
• Edition: 9th
• Format: Hardcover
• Copyright: 2007-01-01
• Publisher: Addison Wesley

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