College Algebra

by Blitzer, Robert F.

• ISBN13: 9780130878281
• ISBN10: 0130878286
• Edition: 2nd
• Format: Hardcover
• Copyright: 2001-01-01
• Publisher: Pearson College Div

Summary

Applications, Accessibility and Great Problem Sets highlight this new edition of College Algebra. The usage of the graphing calculator remains optional, developed throughout the text in "Technology Boxes." Features a full range of Supplements including MathPak. New edition March 2003.

Table of Contents

Preface	vii
To the Student	xi
Applications Index	xix
Prerequisites: Fundamental Concepts of Algebra	1	(84)
Real Numbers and Algebraic Expressions	2	(11)
Exponents and Scientific Notation	13	(10)
Radicals and Rational Exponents	23	(12)
Polynomials	35	(11)
Factoring Polynomials	46	(8)
Rational Expressions	54	(11)
Complex Numbers	65	(6)
Graphs and Graphing Utilities	71	(14)
Summary	81	(1)
Review Exercises or Algebra Skills Diagnostic Test	82	(2)
Chapter P Test	84	(1)
Equations, Inequalities, and Mathematical Models	85	(82)
Linear Equations	86	(11)
Formulas and Applications	97	(12)
Quadratic Equations	109	(18)
Other Types of Equations	127	(12)
Linear Inequalities	139	(12)
Quadratic and Rational Inequalities	151	(16)
Summary	162	(1)
Review Exercises	163	(2)
Chapter 1 Test	165	(2)
Functions and Graphs	167	(91)
Lines and Slope	168	(12)
Parallel and Perpendicular Lines and Circles	180	(10)
Introduction to Functions	190	(13)
Graphs of Functions	203	(18)
Transformations and Combinations of Functions	221	(17)
Composite and Inverse Functions	238	(20)
Summary	250	(1)
Review Exercises	251	(4)
Chapter 2 Test	255	(1)
Cumulative Review Exercises	256	(2)
Polynomial and Rational Functions	258	(92)
Quadratic Functions	259	(13)
Polynomial functions and Their Graphs	272	(1)
Dividing Polynomials: Remainder and Factor Theorems	273	(21)
Zeros of Polynomial Functions	294	(10)
More on Zeros of Polynomial Functions	304	(10)
Rational Functions and Their Graphs	314	(18)
Modeling Using Variation	332	(18)
Summary	344	(1)
Review Exercises	345	(3)
Chapter 3 Test	348	(1)
Cumulative Review Exercises	349	(1)
Exponential and Logarithmic Functions	350	(65)
Exponential Functions	351	(11)
Logarithmic Functions	362	(13)
Properties of Logarithms	375	(9)
Exponential and Logarithmic Equations	384	(11)
Modeling with Exponential and Logarithmic Functions	395	(20)
Summary	408	(1)
Review Exercises	409	(4)
Chapter 4 Test	413	(1)
Cumulative Review Exercises	414	(1)
Systems of Equations and Inequalities	415	(66)
Systems of Linear Equations in Two Variables	416	(14)
Systems of Linear Equations in Three Variables	430	(9)
Partial Fractions	439	(9)
Systems of Nonlinear Equations in Two Variables	448	(9)
Systems of Inequalities	457	(10)
Linear Programming	467	(14)
Summary	476	(1)
Review Exercises	477	(3)
Chapter 5 Test	480	(1)
Cumulative Review Exercises	480	(1)
Matrices and Determinants	481	(71)
Matrix Solutions to Linear Systems	482	(14)
Inconsistent and Dependent Systems and Their Applications	496	(9)
Matrix Operations and Their Applications	505	(14)
Multiplicative Inverses of Matrices and Matrix Equations	519	(15)
Determinants and Cramer's Rule	534	(18)
Summary	547	(1)
Review Exercises	548	(2)
Chapter 6 Test	550	(1)
Cumulative Review Exercises	551	(1)
Conic Sections	552	(47)
The Ellipse	553	(13)
The Hyperbola	566	(16)
The Parabola	582	(17)
Summary	594	(1)
Review Exercises	595	(2)
Chapter 7 Test	597	(1)
Cumulative Review Exercises	597	(2)
Sequences, Induction, and Probability	599	(1)
Sequences and Summation Notation	600	(11)
Arithmetic Sequences	611	(8)
Geometric Sequences	619	(14)
Mathematical Induction	633	(9)
The Binomial Theorem	642	(8)
Counting Principles, Permutations, and Combinations	650	(11)
Probability	661	(13)
Summary	674	(1)
Review Exercises	675	(2)
Chapter 8 Test	677	(1)
Cumulative Review Exercises	678
Appendix Where Did That Come From? Selected Proofs	A1
Answers to Selected Exercises	AA1
Subject Index	I-1
Photo Credits	P-1