College Algebra

by Dugopolski, Mark

• ISBN13: 9780201347111
• ISBN10: 0201347113
• Edition: 2nd
• Format: Hardcover
• Copyright: 1998-07-01
• Publisher: Addison-Wesley

Summary

Providing Strategies for Success: This text provides numerous strategies for success for both students and instructors. Instructors will find the book easier to use with such additions as an Annotated Instructor' s Edition, instructor notes within the exercise sets, and an Insider' s Guide. Students will find success through features including highlights, exercise hints, art annotations, critical thinking exercises, and pop quizzes, as well as procedures, strategies, and summaries.

Table of Contents

Preface	vii
List of Supplements	xii
Index of Applications	xvi
Prerequisites
Real Number and Their Properties	1	(15)
Integral Exponents	16	(13)
Rational Exponents and Radicals	29	(13)
Polynomials	42	(12)
Factoring Polynomials	54	(11)
Rational Expressions	65	(18)
Highlights	76	(2)
Review Exercises	78	(2)
Test	80	(3)
Equations an Inequalities
Linear Equations	83	(11)
Applications	94	(15)
Complex Numbers	109	(8)
Quadratic Equations	117	(15)
Linear and Absolute Value Inequalities	132	(13)
Quadratic and Rational Inequalities	145	(18)
Highlights	156	(2)
Review Exercises	158	(3)
Test	161	(1)
Tying It All Together	161	(2)
Functions and Graphs
The Cartesian Coordinate System	163	(13)
Functions	176	(15)
Graphs of Relations and Functions	191	(16)
Transformations an Symmetry of Graphs	207	(15)
Operations with Functions	222	(12)
Inverse Functions	234	(13)
Variation	247	(16)
Highlights	255	(2)
Review Exercises	257	(3)
Test	260	(1)
Tying It All Together	261	(2)
Polynomial and Rational Functions
Linear Functions	263	(16)
Quadratic Functions	279	(12)
Zeros of Polynomial Functions	291	(12)
The Theory of Equations	303	(10)
Miscellaneous Equations	313	(14)
Graphs of Polynomial Functions	327	(12)
Graphs of Rational Functions	339	(22)
Highlights	353	(2)
Review Exercises	355	(3)
Test	358	(1)
Tying It All Together	359	(2)
Exponential and Logarithmic Functions
Exponential Functions	361	(16)
Logarithmic Functions	377	(12)
Properties of Logarithms	389	(13)
More Equations and Applications	402	(19)
Highlights	414	(1)
Review Exercises	415	(2)
Test	417	(1)
Tying It All Together	418	(3)
Systems of Equations and Inequalities
Systems of Linear Equations in Two Variables	421	(13)
Systems of Linear Equations in Three Variables	434	(12)
Nonlinear Systems of Equations	446	(9)
Partial Fractions	455	(8)
Inequalities and Systems of Inequalities in Two Variables	463	(9)
Linear Programming	472	(13)
Highlights	480	(1)
Review Exercises	481	(1)
Test	482	(1)
Tying It All Together	483	(2)
Matrices and Determinants
Solving Linear Systems Using Matrices	485	(15)
Operations with Matrices	500	(7)
Multiplication of Matrices	507	(8)
Inverses of Matrices	515	(12)
Solution of Linear Systems in Two Variables Using Determinants	527	(6)
Solution of Linear Systems in Three Variables Using Determinants	533	(16)
Highlights	543	(2)
Review Exercises	545	(1)
Test	546	(1)
Tying It All Together	547	(2)
The Conic Sections
The Parabola	549	(11)
The Ellipse and the Circle	560	(14)
The Hyperbola	574	(17)
Highlights	586	(1)
Review Exercises	587	(2)
Test	589	(1)
Tying It All Together	589	(2)
Sequences, Series, and Probability
Sequences	591	(11)
Series	602	(8)
Geometric Sequences and Series	610	(13)
Counting and Permutations	623	(7)
Combinations, Labeling, and the Binomial Theorem	630	(11)
Probability	641	(12)
Mathematical Induction	653	(6)
Highlights	659	(2)
Review Exercises	661	(2)
Test	663
Answers to Odd-numbered Exercises	A-1
Index	I-1