College Algebra Essentials

by Sullivan, Michael

• ISBN13: 9780131469631
• ISBN10: 0131469630
• Edition: 7th
• Format: Hardcover
• Copyright: 2005-01-01
• Publisher: Pearson College Div

Summary

The&Eighth Edition of this highly dependable book retains its best featuresaccuracy, precision, depth, and abundant exercise setswhile substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of most readers. Chapter topics include Graphs; Polynomial and Rational Functions; Conics; Systems of Equations and Inequalities; Exponential and Logarithmic Functions; Counting and Probability; and more. For individuals with an interest in learning algebra as it applies to their everyday lives.

Table of Contents

The Essentials Edition	xi
Preface to the Instructor	xiii
List of Applications	xix
Photo Credits	xxiii
Review	1	(82)
Real Numbers	2	(15)
Algebra Review	17	(12)
Geometry Review	29	(6)
Polynomials	35	(8)
Factoring Polynomials	43	(9)
Polynomial Division; Synthetic Division	52	(6)
Rational Expressions	58	(12)
nth Roots; Rational Exponents	70	(13)
Chapter Review	77	(6)
Equations and Inequalities	83	(74)
Linear Equations	84	(12)
Quadratic Equations	96	(13)
Quadratic Equations in the Complex Number System	109	(9)
Radical Equations; Equations Quadratic in Form; Factorable Equations	118	(7)
Solving Inequalities	125	(11)
Equations and Inequalities Involving Absolute Value	136	(5)
Applications: Interest, Mixture, Uniform Motion, Constant Rate Jobs	141	(16)
Chapter Review	151	(4)
Chapter Projects	155	(2)
Graphs	157	(60)
Rectangular Coordinates	158	(7)
Graphs of Equations	165	(10)
Circles	175	(6)
Lines	181	(13)
Parallel and Perpendicular Lines	194	(5)
Scatter Diagrams; Linear Curve Fitting	199	(7)
Variation	206	(11)
Chapter Review	212	(4)
Chapter Projects	216	(1)
Cumulative Review	216	(1)
Functions and Their Graphs	217	(74)
Functions	218	(13)
The Graph of a Function	231	(9)
Properties of Functions	240	(11)
Library of Functions; Piecewise-defined Functions	251	(11)
Graphing Techniques: Transformations	262	(13)
Mathematical Models: Constructing Functions	275	(16)
Chapter Review	283	(6)
Chapter Projects	289	(1)
Cumulative Review	290	(1)
Polynomial and Rational Functions	291	(100)
Quadratic Functions and Models	292	(20)
Polynomial Functions	312	(18)
Rational Functions I	330	(11)
Rational Functions II: Analyzing Graphs	341	(15)
Polynomial and Rational Inequalities	356	(6)
The Real Zeros of a Polynomial Function	362	(15)
Complex Zeros; Fundamental Theorem of Algebra	377	(14)
Chapter Review	383	(5)
Chapter Projects	388	(1)
Cumulative Review	389	(2)
Exponential and Logarithmic Functions	391	(100)
Composite Functions	392	(7)
Inverse Functions	399	(13)
Exponential Functions	412	(16)
Logarithmic Functions	428	(13)
Properties of Logarithms	441	(9)
Logarithmic and Exponential Equations	450	(5)
Compound Interest	455	(10)
Exponential Growth and Decay; Newton's Law; Logistic Models	465	(9)
Fitting Data to Exponential, Logarithmic, and Logistic Functions	474	(17)
Chapter Review	482	(6)
Chapter Projects	488	(1)
Cumulative Review	489	(2)
Analytic Geometry	491	(2)
Conics
The Parabola
The Ellipse
The Hyperbola
Chapter Review
Chapter Projects
Cumulative Review
Systems of Equations and Inequalities	493	(18)
Systems of Linear Equations: Substitution and Elimination	494	(17)
Systems of Linear Equations: Matrices
Systems of Linear Equations: Determinants
Matrix Algebra
Partial Fraction Decomposition
Systems of Nonlinear Equations
Systems of Inequalities
Linear Programming
Chapter Review
Chapter Projects
Cumulative Review
Sequences; Induction; the Binomial Theorem	511	(30)
Sequences	512	(9)
Arithmetic Sequences	521	(6)
Geometric Sequences; Geometric Series	527	(14)
Mathematical Induction
The Binomial Theorem
Chapter Review
Chapter Projects
Cumulative Review
Counting and Probability	541	(2)
Sets and Counting
Permutations and Combinations
Probability
Chapter Review
Chapter Projects
Cumulative Review
Appendix Graphing Utilities	543
1 The Viewing Rectangle	543	(2)
2 Using a Graphing Utility to Graph Equations	545	(4)
3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry	549	(2)
4 Using a Graphing Utility to Solve Equations	551	(2)
5 Square Screens	553
6 Using a Graphing Utility to Graph Inequalities
7 Using a Graphing Utility to Solve Systems of Linear Equations
Answers	1	(1)
Index	1