College Algebra Enhanced with Graphing Utilities

by Sullivan, Michael; SullivanIII, Michael

• ISBN13: 9780131491045
• ISBN10: 0131491040
• Edition: 4th
• Format: Hardcover
• Copyright: 2006-01-01
• Publisher: Pearson College Div

Summary

This is the number one, best selling graphing-required version of Mike Sullivan's precalculus series. It is used by thousands of students and hundreds of instructors because, simply, "IT WORKS." "IT WORKS for both instructors and students because Mike Sullivan, after twenty-five years of teaching, knows exactly what students need to do to succeed in a math class and he therefore emphasizes and organizes his text around the fundamentals; preparing, practicing, and reviewing. Students who prepare (read the book, practice their skills learned in previous math classes), practice (work the math focusing on the fundamental and important mathematical concepts), and review (study key concepts and review for quizzes and tests) succeed in class. Instructors appreciate this emphasis as it supports their teaching goals to help their students succeed as well as appreciate the fact that this dependable text retains its best features- - accuracy, precision, depth, strong student support, and abundant exercises, while substantially updating content and pedagogy. After completing the book, students will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus.

Table of Contents

Preface to the Instructor	xi
List of Applications	xvii
Photo Credits	xxi
To the Student	xxiv
Review
Real Numbers	2	(14)
Algebra Review	16	(13)
Geometry Review	29	(6)
Polynomials	35	(10)
Factoring Polynomials	45	(8)
Synthetic Division	53	(4)
Rational Expressions	57	(11)
nth Roots; Rational Exponents	68	(15)
Chapter Review	76	(7)
Graphs, Equations, and Inequalities	83	(114)
Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations	84	(16)
Solving Equations Using a Graphing Utility; Linear and Rational Equations	100	(12)
Quadratic Equations	112	(12)
Complex Numbers; Quadratic Equations in the Complex Number System	124	(9)
Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations	133	(8)
Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs	141	(9)
Solving Inequalities	150	(13)
Lines	163	(17)
Circles	180	(17)
Chapter Review	187	(7)
Chapter Test	194	(1)
Chapter Projects	195	(2)
Functions and Their Graphs	197	(100)
Symmetry; Graphing Key Equations	198	(6)
Functions	204	(15)
The Graph of a Function	219	(9)
Properties of Functions	228	(13)
Linear Functions and Models	241	(14)
Library of Functions; Piecewise-Defined Functions	255	(11)
Graphing Techniques: Transformations	266	(12)
Mathematical Models: Constructing Functions	278	(19)
Chapter Review	286	(7)
Chapter Test	293	(1)
Chapter Projects	294	(1)
Cumulative Review	295	(2)
Polynomial and Rational Functions	297	(98)
Quadratic Functions and Models	298	(20)
Polynomial Functions and Models	318	(16)
Properties of Rational Functions	334	(12)
The Graph of a Rational Function; Inverse and Joint Variation	346	(14)
Polynomial and Rational Inequalities	360	(7)
The Real Zeros of a Polynomial Function	367	(14)
Complex Zeros; Fundamental Theorem of Algebra	381	(14)
Chapter Review	386	(6)
Chapter Test	392	(1)
Chapter Projects	393	(1)
Cumulative Review	393	(2)
Exponential and Logarithmic Functions	395	(108)
Composite Functions	396	(8)
One-to-One Functions; Inverse Functions	404	(15)
Exponential Functions	419	(16)
Logarithmic Functions	435	(13)
Properties of Logarithms	448	(9)
Logarithmic and Exponential Equations	457	(6)
Compound Interest	463	(9)
Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay	472	(13)
Building Exponential, Logarithmic, and Logistic Models from Data	485	(18)
Chapter Review	493	(7)
Chapter Test	500	(1)
Chapter Projects	501	(1)
Cumulative Review	501	(2)
Systems of Equations and Inequalities	503	(92)
Systems of Linear Equations: Substitution and Elimination	504	(15)
Systems of Linear Equations: Matrices	519	(17)
Systems of Linear Equations: Determinants	536	(10)
Matrix Algebra	546	(17)
Partial Fraction Decomposition	563	(8)
Systems of Linear Inequalities	571	(9)
Linear Programming	580	(15)
Chapter Review	588	(4)
Chapter Test	592	(1)
Chapter Projects	593	(1)
Cumulative Review	594	(1)
Analytic Geometry	595	(54)
Conics	596	(1)
The Parabola	597	(11)
The Ellipse	608	(11)
The Hyperbola	619	(14)
Systems of Nonlinear Equations and Inequalities	633	(16)
Chapter Review	645	(2)
Chapter Test	647	(1)
Chapter Projects	647	(1)
Cumulative Review	648	(1)
Sequences; Induction; the Binomial Theorem	649	(44)
Sequences	650	(12)
Arithmetic Sequences	662	(6)
Geometric Sequences; Geometric Series	668	(9)
Mathematical Induction	677	(4)
The Binomial Theorem	681	(12)
Chapter Review	688	(2)
Chapter Test	690	(1)
Chapter Projects	691	(1)
Cumulative Review	692	(1)
Counting and Probability	693
Sets and Counting	694	(6)
Permutations and Combinations	700	(11)
Probability	711
Chapter Review	722	(3)
Chapter Test	725	(1)
Chapter Projects	726	(1)
Cumulative Review	726
Answers	1	(1)
Index	1