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

by Lial, Margaret L.; Hungerford, Thomas W.

• ISBN13: 9780321022943
• ISBN10: 0321022947
• Edition: 7th
• Format: Hardcover
• Copyright: 1998-08-01
• Publisher: Pearson College Div

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