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

by Stewart, James; Redlin, Lothar; Watson, Saleem

• ISBN13: 9781111568108
• ISBN10: 1111568103
• Edition: 3rd
• Format: Paperback
• Copyright: 2011-02-08
• Publisher: Cengage Learning

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

Prerequisites	p. 1
Real Numbers and Their Properties	p. 1
The Real Number Line and Order	p. 5
Integer Exponents	p. 8
Rational Exponents and Radicals	p. 11
Algebraic Expressions	p. 13
Factoring	p. 16
Rational Expressions	p. 22
Chapter P Word Search	p. 28
Equations and inequalities	p. 29
Basic Equations	p. 29
Modeling with Equations	p. 33
Quadratic Equations	p. 39
Complex Numbers	p. 43
Other Types of Equations	p. 46
Inequalities	p. 50
Absolute Value Equations and Inequalities	p. 55
Chapter 1 Word Search	p. 58
Coordinates and graphs	p. 59
The Coordinate Plane	p. 59
Graphs of Equations in Two Variables	p. 62
Graphing Calculators: Solving Equations and Inequalities Graphically	p. 66
Lines	p. 73
Making Models Using Variation	p. 80
Chapter 2 Word Search	p. 82
Functions	p. 83
What is a Function?	p. 83
Graphs of Functions	p. 85
Getting Information from the Graph of a Function	p. 89
Average Rate of Change of a Function	p. 93
Transformations of Functions	p. 95
Combining Functions	p. 103
One-to-One Functions and Their Inverses	p. 106
Chapter 3 Word Search	p. 112
Polynomial and rational functions	p. 113
Quadratic Functions and Models	p. 113
Polynomial Functions and TheirGraphs	p. 117
Dividing Polynomials	p. 123
Real Zeros of Polynomials	p. 126
Complex Zeros and the Fundamental Theorem of Algebra	p. 131
Rational Functions	p. 135
Chapter 4 WordSearch	p. 140
Exponential and logarithmic functions	p. 141
Exponential Functions	p. 141
The Natural Exponential Function	p. 143
Logarithmic Functions	p. 146
Laws of Logarithms	p. 149
Exponential and Logarithmic Equations	p. 152
Modeling with Exponential and Logarithmic Functions	p. 155
Chapter 5 Word Search	p. 159
Trigonometric functions: right triangle approach	p. 161
Angle Measure	p. 161
Trigonometry of Right Triangles	p. 164
Trigonometric Functions of Angles	p. 168
Inverse Trigonometric Functions and Triangles	p. 172
TheLaw of Sines	p. 175
The Law of Cosines	p. 177
Chapter 6 Word Search	p. 180
Trigonometric functions: unit circle approach	p. 181
The Unit Circle	p. 181
Trigonometric Functions of Real Numbers	p. 184
Trigonometric Graphs	p. 187
More Trigonometric Graphs	p. 191
Inverse Trigonometric Functions and TheirGraphs	p. 193
Modeling Harmonic Motion	p. 194
Chapter 7 Word Search	p. 197
Analytic trigonometry	p. 199
Trigonometric Identities	p. 199
Addition and Subtraction Formulas	p. 202
Double-Angle, Half-Angle, and Product-Sum Formulas	p. 204
Basic Trigonometric Equations	p. 208
More Trigonometric Equations	p. 210
Chapter 8 Word Search	p. 214
Polar Coordinates and Parametric Equations	p. 215
Polar Coordinates	p. 215
Graphs of Polar Equations	p. 218
Polar Form of Complex Numbers; De Moivre's Theorem	p. 222
PlaneCurvesand Parametric Equations	p. 227
Chapter 9 Word Search	p. 230
Vector in Two and Three Dimensions	p. 231
Vectors in Two Dimensions	p. 231
The Dot Product	p. 236
Three-Dimensional Coordinate Geometry	p. 240
Vectors in Three Dimensions	p. 242
The Cross Product	p. 244
Equations of Lines and Planes	p. 246
Chapter 10 Word Search	p. 248
System of Equations and Inequalities	p. 249
Systems of Linear Equations in Two Variables	p. 249
Systems of Linear Equations in Several Variables	p. 253
Matrices and Systems of Linear Equations	p. 257
The Algebra of Matrices	p. 263
Inverses of Matrices and Matrix Equations	p. 267
Determinants and Cramer's Rule	p. 273
Partial Fractions	p. 277
Systems of Nonlinear Equations	p. 282
Systems of Inequalities	p. 285
Chapter 11 Word Search	p. 289
Conic Sections	p. 291
Parabolas	p. 291
Ellipses	p. 294
Hyperbolas	p. 298
Shifted Conics	p. 301
Rotation of Axes	p. 305
PoSar Equations of Conies	p. 308
Chapter 12 Word Search	p. 312
Sequences and series	p. 313
Sequences and Summation Notation	p. 313
Arithmetic Sequences	p. 318
Geometric Sequences	p. 319
Mathematics of Finance	p. 322
Mathematical Induction	p. 324
The Binomial Theorem	p. 326
Chapter 13 Word Search	p. 329
Counting and probability	p. 331
Counting Principles	p. 331
Permutations and Combinations	p. 333
Probability	p. 337
Binomial Probability	p. 342
Expected Value	p. 344
Chapter 14 Word Search	p. 346
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