College Algebra and Trigonometry

by Dugopolski, Mark

• ISBN13: 9780201347128
• ISBN10: 0201347121
• Edition: 2nd
• Format: Hardcover
• Copyright: 1998-07-01
• Publisher: Pearson College Div

Summary

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 that include 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 Numbers 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 and 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 and 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)
The Trigonometric Functions
Angles and Their Measurements	421	(17)
The Sine and Cosine Functions	438	(14)
The Graphs of the Sine and Cosine Functions	452	(16)
The Other Trigonometric Functions and Their Graphs	468	(12)
The Inverse Trigonometric Functions	480	(11)
Right Triangle Trigonometry	491	(22)
Highlights	505	(2)
Review Exercises	507	(3)
Test	510	(1)
Tying It All Together	511	(2)
Trigonometric Identities and Conditional Equations
Basic Identities	513	(9)
Verifying Identities	522	(8)
Sum and Difference Identities	530	(10)
Double-Angle and Half-Angle Identities	540	(9)
Product and Sum Identities	549	(10)
Conditional Equations	559	(20)
Highlights	574	(1)
Review Exercises	575	(1)
Test	576	(1)
Tying It All Together	577	(2)
Applications of Trigonometry
The Law of Sines	579	(12)
The Law of Cosines	591	(11)
Vectors	602	(13)
Trigonometric Form of Complex Numbers	615	(7)
Powers and Roots of Complex Numbers	622	(6)
Polar Equations	628	(10)
Parametric Equations	638	(13)
Highlights	643	(2)
Review Exercises	645	(2)
Test	647	(1)
Tying It All Together	648	(3)
Systems of Equations and Inequalities
Systems of Linear Equations in Two Variables	651	(13)
Systems of Linear Equations in Three Variables	664	(12)
Nonlinear Systems of Equations	676	(9)
Partial Fractions	685	(8)
Inequalities and Systems of Inequalities in Two Variables	693	(9)
Linear Programming	702	(13)
Highlights	710	(1)
Review Exercises	711	(1)
Test	712	(1)
Tying It All Together	713	(2)
Matrices and Determinants
Solving Linear Systems Using Matrices	715	(15)
Operations with Matrices	730	(7)
Multiplication of Matrices	737	(8)
Inverses of Matrices	745	(12)
Solution of Linear Systems in Two Variables Using Determinants	757	(6)
Solution of Linear Systems in Three Variables Using Determinants	763	(16)
Highlights	773	(2)
Review Exercises	775	(1)
Test	776	(1)
Tying It All Together	777	(2)
The Conic Sections
The Parabola	779	(11)
The Ellipse and the Circle	790	(14)
The Hyperbola	804	(17)
Highlights	816	(1)
Review Exercises	817	(2)
Test	819	(1)
Tying It All Together	819	(2)
Sequences, Series, and Probability
Sequences	821	(11)
Series	832	(8)
Geometric Sequences and Series	840	(13)
Counting and Permutations	853	(7)
Combinations, Labeling, and the Binomial Theorem	860	(11)
Probability	871	(12)
Mathematical Induction	883	(6)
Highlights	889	(2)
Review Exercises	891	(2)
Test	893
Answers to Odd-numbered Exercises	A-1
Index	I-1