College Algebra

by Robert F. Blitzer

• ISBN13: 9780133999402
• ISBN10: 0133999408
• Edition: 1st
• Format: Hardcover
• Copyright: 1997-10-01
• Publisher: Prentice Hall Professional Technical Reference

Summary

Utilizing the pedagogy and writing style of his successful Developmental Math series, Blitzer introduces his College Algebra text. Extensive optional graphing, group work and internet projects are integrated throughout.

Table of Contents

Preface	ix	(12)
To the Student	xxi
CHAPTER P Prerequisites: Fundamental Concepts of Algebra	1	(106)
P.1 The Real Number System	2	(11)
P.2 Properties of Algebraic Expressions; Exponents	13	(15)
P.3 Graphs and Graphing Utilities	28	(14)
P.4 Radicals and Rational Exponents	42	(13)
P.5 Polynomials	55	(10)
P.6 Factoring	65	(13)
P.7 Rational Expressions	78	(12)
P.8 Complex Numbers	90	(10)
Chapter Project	100	(1)
Summary	101	(1)
Review Problems	102	(3)
Chapter Test	105	(2)
CHAPTER 1 Equations, Inequalities, and Mathematical Models	107	(104)
1.1 Linear Equations	108	(14)
1.2 Quadratic Equations	122	(14)
1.3 Linear and Quadratic Modeling	136	(23)
1.4 Other Types of Equations	159	(15)
1.5 Linear Inequalities	174	(12)
1.6 Polynomial and Rational Inequalities	186	(15)
Chapter Project	201	(1)
Summary	202	(2)
Review Problems	204	(5)
Chapter Test	209	(2)
CHAPTER 2 Functions and Graphs	211	(116)
2.1 Introduction to Functions	212	(11)
2.2 Linear Functions and Slope	223	(19)
2.3 Graphs of Relations and Functions	242	(15)
2.4 Increasing and Decreasing Functions; Extreme Values	257	(12)
2.5 Transformations of Functions	269	(18)
2.6 Combinations of Functions	287	(13)
2.7 Inverse Functions	300	(13)
Chapter Project	313	(1)
Summary	314	(2)
Review Problems	316	(7)
Chapter Test	323	(2)
Cumulative Review Problems (Chapters P-2)	325	(2)
CHAPTER 3 Modeling with Polynomial and Rational Functions	327	(104)
3.1 Quadratic Functions	328	(15)
3.2 Polynomial Functions of Higher Degree and Polynomial Variation	343	(16)
3.3 Zeros of Polynomial Functions	359	(19)
3.4 More on Zeros of Polynomial Functions	378	(14)
3.5 Graphing Rational Functions	392	(17)
3.6 Modeling with Rational Functions and Inverse Variation	409	(11)
Chapter Project	420	(1)
Summary	421	(2)
Review Problems	423	(5)
Chapter Test	428	(1)
Cumulative Review Problems (Chapters P-3)	429	(2)
CHAPTER 4 Exponential and Logarithmic Functions	431	(88)
4.1 Exponential Functions	432	(17)
4.2 Logarithmic Functions	449	(17)
4.3 Properties of Logarithmic Functions	466	(11)
4.4 Exponential and Logarithmic Equations	477	(16)
4.5 Modeling with Exponential and Logarithmic Functions	493	(15)
Chapter Project	508	(1)
Summary	509	(2)
Review Problems	511	(5)
Chapter Test	516	(1)
Cumulative Review Problems (Chapters P-4)	517	(2)
CHAPTER 5 Matrices and Linear Systems	519	(148)
5.1 Solving Linear Systems Using Substitution and Addition	520	(20)
5.2 Matrix Solutions to Linear Systems	540	(18)
5.3 Inconsistent and Dependent Systems and Their Applications	558	(9)
5.4 Matrix Operations and Their Applications	567	(20)
5.5 Inverses of Matrices	587	(18)
5.6 Determinants and Cramer's Rule	605	(18)
5.7 Partial Fractions	623	(14)
5.8 Systems of Linear Inequalities and Linear Programming	637	(18)
Chapter Project	655	(2)
Summary	657	(2)
Review Problems	659	(4)
Chapter Test	663	(1)
Cumulative Review Problems (Chapters P-5)	664	(3)
CHAPTER 6 Conic Sections and Nonlinear Systems	667	(90)
6.1 The Ellipse	668	(20)
6.2 The Hyperbola	688	(19)
6.3 The Parabola	707	(19)
6.4 Nonlinear Systems	726	(20)
Chapter Project	746	(2)
Summary	748	(2)
Review Problems	750	(3)
Chapter Test	753	(1)
Cumulative Review Problems (Chapters P-6)	754	(3)
CHAPTER 7 Sequences, Series, and Probability	757
7.1 Sequences and Series	758	(17)
7.2 Arithmetic Sequences and Series	775	(10)
7.3 Geometric Sequences and Series	785	(20)
7.4 Mathematical Induction	805	(10)
7.5 The Binomial Theorem	815	(8)
7.6 Counting Principles, Permutations, and Combinations	823	(14)
7.7 An Introduction to Probability	837	(15)
Chapter Project	852	(1)
Summary	853	(1)
Review Problems	854	(5)
Chapter Test	859
APPENDIX Review Problems Covering the Entire Book	A1
Answers to Selected Exercises	AA1
Index	I-1
Index of Applications	Inside front cover
Definitions, Rules, and Formulas	Inside back cover