College Algebra

by Sullivan, Michael

• ISBN13: 9780130800053
• ISBN10: 0130800058
• Edition: 5th
• Format: Hardcover
• Copyright: 1998-12-01
• Publisher: Pearson College Div

Summary

The Eighth Edition of this highly dependable book retains its best features-accuracy, precision, depth, and abundant exercise sets-while substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of most readers. Chapter topics include Graphs; Polynomial and Rational Functions; Conics; Systems of Equations and Inequalities; Exponential and Logarithmic Functions; Counting and Probability; and more. For individuals with an interest in learning algebra as it applies to their everyday lives.

Table of Contents

Preface to the Instructor	ix	(4)
Preface to the Student	xiii	(8)
List of Applications	xxi	(4)
Photo Credits	xxv
CHAPTER 1 PRELIMINARIES	1	(86)
1.1 Real Numbers	3	(18)
1.2 Approximations; Calculators	21	(4)
1.3 Integer Exponents	25	(8)
1.4 Polynomials	33	(11)
1.5 Factoring Polynomials	44	(8)
1.6 Rational Expressions	52	(11)
1.7 Square Roots; Radicals	63	(8)
1.8 Rational Exponents	71	(6)
1.9 Geometry Topics	77	(5)
Chapter Review	82	(5)
CHAPTER 2 EQUATIONS AND INEQUALITIES	87	(74)
2.1 Equations	89	(9)
2.2 Setting Up Equations: Applications	98	(11)
2.3 Quadratic Equations	109	(14)
2.4 Other Types of Equations	123	(4)
2.5 Inequalities	127	(10)
2.6 Linear Inequalities	137	(7)
2.7 Polynomial and Rational Inequalities	144	(8)
2.8 Equations and Inequalities Involving Absolute Value	152	(5)
Chapter Review	157	(4)
CHAPTER 3 GRAPHS	161	(66)
3.1 Rectangular Coordinates; Scatter Diagrams	163	(11)
3.2 Graphs of Equations	174	(11)
3.3 Lines	185	(13)
3.4 Parallel and Perpendicular Lines; Circles	198	(10)
3.5 Linear Curve Fitting	208	(7)
3.6 Variation	215	(7)
Chapter Review	222	(5)
CHAPTER 4 FUNCTIONS AND THEIR GRAPHS	227	(78)
4.1 Functions	229	(19)
4.2 More about Functions	248	(17)
4.3 Graphing Techniques: Transformations	265	(13)
4.4 Operations on Functions; Composite Functions	278	(10)
4.5 Mathematical Models: Constructing Functions	288	(10)
Chapter Review	298	(7)
CHAPTER 5 POLYNOMIAL AND RATIONAL FUNCTIONS	305	(106)
5.1 Quadratic Functions; Curve Fitting	307	(19)
5.2 Polynomial Functions	326	(17)
5.3 Rational Functions	343	(25)
5.4 Synthetic Division	368	(4)
5.5 The Real Zeros of a Polynomial Function	372	(17)
5.6 Complex Numbers; Quadratic Equations with a Negative Discriminant	389	(9)
5.7 Complex Zeros; Fundamental Theorem of Algebra	398	(7)
Chapter Review	405	(6)
CHAPTER 6 EXPONENTIAL AND LOGARITHMIC FUNCTIONS	411	(82)
6.1 One-to-One Functions; Inverse Functions	413	(11)
6.2 Exponential Functions	424	(13)
6.3 Logarithmic Functions	437	(9)
6.4 Properties of Logarithms; Curve Fitting	446	(13)
6.5 Logarithmic and Exponential Equations	459	(7)
6.6 Compound Interest	466	(9)
6.7 Growth and Decay	475	(8)
6.8 Logarithmic Scales	483	(5)
Chapter Review	488	(5)
CHAPTER 7 THE CONICS	493	(40)
7.1 Preliminaries	495	(1)
7.2 The Parabola	496	(10)
7.3 The Ellipse	506	(12)
7.4 The Hyperbola	518	(12)
Chapter Review	530	(3)
CHAPTER 8 SYSTEMS OF EQUATIONS AND INEQUALITIES	533	(100)
8.1 Systems of Linear Equations: Substitution; Elimination	535	(13)
8.2 Systems of Linear Equations: Matrices	548	(16)
8.3 Systems of Linear Equations: Determinants	564	(12)
8.4 Matrix Algebra	576	(18)
8.5 Partial Fraction Decomposition	594	(7)
8.6 Systems of Nonlinear Equations	601	(10)
8.7 Systems of Inequalities	611	(8)
8.8 Linear Programming	619	(8)
Chapter Review	627	(6)
CHAPTER 9 SEQUENCES; INDUCTION; COUNTING; PROBABILITY	633	(76)
9.1 Sequences	635	(9)
9.2 Arithmetic Sequences	644	(6)
9.3 Geometric Sequences; Geometric Series	650	(12)
9.4 Mathematical Induction	662	(4)
9.5 The Binomial Theorem	666	(9)
9.6 Sets and Counting	675	(5)
9.7 Permutations and Combinations	680	(11)
9.8 Probability	691	(10)
Chapter Review	701	(8)
APPENDIX GRAPHING UTILITIES	709
1. The Viewing Rectangle	709	(3)
2. Using a Graphing Utility to Graph Equations	712	(4)
3. Using a Graphing Utility to Locate Intercepts	716	(4)
4. Square Screens	720	(1)
5. Using a Graphing Utility to Graph Inequalities	721
Answers	AN 1
Index	I 1