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9780131527393

Algebra and Trigonometry Enhanced With Graphing Utilities

by ;
  • ISBN13:

    9780131527393

  • ISBN10:

    0131527398

  • Edition: 4th
  • Format: Hardcover
  • Copyright: 2006-01-01
  • Publisher: Pearson College Div
  • View Upgraded Edition
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List Price: $153.33

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 xiii
List of Applications
xix
Photo Credits xxiii
To the Student xxiv
Review
1(82)
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)
Trigonometric Functions
595(106)
Angles and Their Measure
596(14)
Right Triangle Trigonometry
610(13)
Computing the Values of Trigonometric Functions of Acute Angles
623(12)
Trigonometric Functions of General Angles
635(10)
Unit Circle Approach: Properties of the Trigonometric Functions
645(11)
Graphs of the Sine and Cosine Functions
656(17)
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
673(6)
Phase Shift; Sinusoidal Curve Fitting
679(22)
Chapter Review
691(6)
Chapter Test
697(2)
Chapter Projects
699(1)
Cumulative Review
700(1)
Analytic Trigonometry
701(70)
The Inverse Sine, Cosine, and Tangent Functions
702(12)
The Inverse Trigonometric Functions [continued]
714(5)
Trigonometric Identities
719(8)
Sum and Difference Formulas
727(10)
Double-angle and Half-angle Formulas
737(10)
Product-to-Sum and Sum-to-Product Formulas
747(3)
Trigonometric Equations (I)
750(7)
Trigonometric Equations (II)
757(14)
Chapter Review
765(3)
Chapter Test
768(1)
Chapter Projects
769(1)
Cumulative Review
770(1)
Applications of Trigonometric Functions
771(46)
Applications Involving Right Triangles
772(5)
The Law of Sines
777(12)
The Law of Cosines
789(10)
Area of a Triangle
799(2)
Simple Harmonic Motion; Damped Motion; Combining Waves
801(16)
Chapter Review
810(4)
Chapter Test
814(1)
Chapter Projects
815(1)
Cumulative Review
816(1)
Polar Coordinates; Vectors
817(62)
Polar Coordinates
818(9)
Polar Equations and Graphs
827(19)
The Complex Plane; De Moivre's Theorem
846(8)
Vectors
854(12)
The Dot Product
866(13)
Chapter Review
874(3)
Chapter Test
877(1)
Chapter Projects
878(1)
Cumulative Review
878(1)
Analytic Geometry
879(86)
Conics
880(1)
The Parabola
881(11)
The Ellipse
892(11)
The Hyperbola
903(14)
Rotation of Axes; General Form of a Conic
917(9)
Polar Equations of Conics
926(7)
Plane Curves and Parametric Equations
933(14)
Systems of Nonlinear Equations and Inequalities
947(18)
Chapter Review
959(3)
Chapter Test
962(1)
Chapter Projects
963(1)
Cumulative Review
963(2)
Sequences; Induction; The Binomial Theorem
965(44)
Sequences
966(12)
Arithmetic Sequences
978(6)
Geometric Sequences; Geometric Series
984(9)
Mathematical Induction
993(4)
The Binomial Theorem
997(12)
Chapter Review
1004(2)
Chapter Test
1006(1)
Chapter Projects
1007(1)
Cumulative Review
1008(1)
Counting and Probability
1009
Sets and Counting
1010(6)
Permutations and Combinations
1016(11)
Probability
1027
Chapter Review
1038(3)
Chapter Test
1041(1)
Chapter Projects
1042(1)
Cumulative Review
1042
Answers 1(1)
Index 1

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