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Study Guide for Stewart/Redlin/Watson's Algebra and Trigonometry, 3rd

by ; ;
Edition:
3rd
ISBN13:

9781111568108

ISBN10:
1111568103
Format:
Paperback
Pub. Date:
2/8/2011
Publisher(s):
Cengage Learning
List Price: $81.66

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Summary

This carefully crafted learning resource helps students develop their problem-solving skills while reinforcing their understanding with detailed explanations, worked-out examples, and practice problems. Students will also find listings of key ideas to master. Each section of the main text has a corresponding section in the Study Guide.

Table of Contents

Prerequisitesp. 1
Real Numbers and Their Propertiesp. 1
The Real Number Line and Orderp. 5
Integer Exponentsp. 8
Rational Exponents and Radicalsp. 11
Algebraic Expressionsp. 13
Factoringp. 16
Rational Expressionsp. 22
Chapter P Word Searchp. 28
Equations and inequalitiesp. 29
Basic Equationsp. 29
Modeling with Equationsp. 33
Quadratic Equationsp. 39
Complex Numbersp. 43
Other Types of Equationsp. 46
Inequalitiesp. 50
Absolute Value Equations and Inequalitiesp. 55
Chapter 1 Word Searchp. 58
Coordinates and graphsp. 59
The Coordinate Planep. 59
Graphs of Equations in Two Variablesp. 62
Graphing Calculators: Solving Equations and Inequalities Graphicallyp. 66
Linesp. 73
Making Models Using Variationp. 80
Chapter 2 Word Searchp. 82
Functionsp. 83
What is a Function?p. 83
Graphs of Functionsp. 85
Getting Information from the Graph of a Functionp. 89
Average Rate of Change of a Functionp. 93
Transformations of Functionsp. 95
Combining Functionsp. 103
One-to-One Functions and Their Inversesp. 106
Chapter 3 Word Searchp. 112
Polynomial and rational functionsp. 113
Quadratic Functions and Modelsp. 113
Polynomial Functions and TheirGraphsp. 117
Dividing Polynomialsp. 123
Real Zeros of Polynomialsp. 126
Complex Zeros and the Fundamental Theorem of Algebrap. 131
Rational Functionsp. 135
Chapter 4 WordSearchp. 140
Exponential and logarithmic functionsp. 141
Exponential Functionsp. 141
The Natural Exponential Functionp. 143
Logarithmic Functionsp. 146
Laws of Logarithmsp. 149
Exponential and Logarithmic Equationsp. 152
Modeling with Exponential and Logarithmic Functionsp. 155
Chapter 5 Word Searchp. 159
Trigonometric functions: right triangle approachp. 161
Angle Measurep. 161
Trigonometry of Right Trianglesp. 164
Trigonometric Functions of Anglesp. 168
Inverse Trigonometric Functions and Trianglesp. 172
TheLaw of Sinesp. 175
The Law of Cosinesp. 177
Chapter 6 Word Searchp. 180
Trigonometric functions: unit circle approachp. 181
The Unit Circlep. 181
Trigonometric Functions of Real Numbersp. 184
Trigonometric Graphsp. 187
More Trigonometric Graphsp. 191
Inverse Trigonometric Functions and TheirGraphsp. 193
Modeling Harmonic Motionp. 194
Chapter 7 Word Searchp. 197
Analytic trigonometryp. 199
Trigonometric Identitiesp. 199
Addition and Subtraction Formulasp. 202
Double-Angle, Half-Angle, and Product-Sum Formulasp. 204
Basic Trigonometric Equationsp. 208
More Trigonometric Equationsp. 210
Chapter 8 Word Searchp. 214
Polar Coordinates and Parametric Equationsp. 215
Polar Coordinatesp. 215
Graphs of Polar Equationsp. 218
Polar Form of Complex Numbers; De Moivre's Theoremp. 222
PlaneCurvesand Parametric Equationsp. 227
Chapter 9 Word Searchp. 230
Vector in Two and Three Dimensionsp. 231
Vectors in Two Dimensionsp. 231
The Dot Productp. 236
Three-Dimensional Coordinate Geometryp. 240
Vectors in Three Dimensionsp. 242
The Cross Productp. 244
Equations of Lines and Planesp. 246
Chapter 10 Word Searchp. 248
System of Equations and Inequalitiesp. 249
Systems of Linear Equations in Two Variablesp. 249
Systems of Linear Equations in Several Variablesp. 253
Matrices and Systems of Linear Equationsp. 257
The Algebra of Matricesp. 263
Inverses of Matrices and Matrix Equationsp. 267
Determinants and Cramer's Rulep. 273
Partial Fractionsp. 277
Systems of Nonlinear Equationsp. 282
Systems of Inequalitiesp. 285
Chapter 11 Word Searchp. 289
Conic Sectionsp. 291
Parabolasp. 291
Ellipsesp. 294
Hyperbolasp. 298
Shifted Conicsp. 301
Rotation of Axesp. 305
PoSar Equations of Coniesp. 308
Chapter 12 Word Searchp. 312
Sequences and seriesp. 313
Sequences and Summation Notationp. 313
Arithmetic Sequencesp. 318
Geometric Sequencesp. 319
Mathematics of Financep. 322
Mathematical Inductionp. 324
The Binomial Theoremp. 326
Chapter 13 Word Searchp. 329
Counting and probabilityp. 331
Counting Principlesp. 331
Permutations and Combinationsp. 333
Probabilityp. 337
Binomial Probabilityp. 342
Expected Valuep. 344
Chapter 14 Word Searchp. 346
Table of Contents provided by Ingram. All Rights Reserved.


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