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

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

by James Stewart
     
 

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ISBN-10: 1111568103

ISBN-13: 9781111568108

Pub. Date: 02/08/2011

Publisher: Cengage Learning

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.

Overview

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.

Product Details

ISBN-13:
9781111568108
Publisher:
Cengage Learning
Publication date:
02/08/2011
Edition description:
Older Edition
Pages:
354
Product dimensions:
8.40(w) x 10.80(h) x 0.90(d)

Table of Contents

Chapter P Prerequisites 1

P.1 Real Numbers and Their Properties 1

P.2 The Real Number Line and Order 5

P.3 Integer Exponents 8

P.4 Rational Exponents and Radicals 11

P.5 Algebraic Expressions 13

P.6 Factoring 16

P.7 Rational Expressions 22

Chapter P Word Search 28

Chapter 1 Equations and inequalities 29

1.1 Basic Equations 29

1.2 Modeling with Equations 33

1.3 Quadratic Equations 39

1.4 Complex Numbers 43

1.5 Other Types of Equations 46

1.6 Inequalities 50

1.7 Absolute Value Equations and Inequalities 55

Chapter 1 Word Search 58

Chapter 2 Coordinates and graphs 59

2.1 The Coordinate Plane 59

2.2 Graphs of Equations in Two Variables 62

2.3 Graphing Calculators: Solving Equations and Inequalities Graphically 66

2.4 Lines 73

2.5 Making Models Using Variation 80

Chapter 2 Word Search 82

Chapter 3 Functions 83

3.1 What is a Function? 83

3.2 Graphs of Functions 85

3.3 Getting Information from the Graph of a Function 89

3.4 Average Rate of Change of a Function 93

3.5 Transformations of Functions 95

3.6 Combining Functions 103

3.7 One-to-One Functions and Their Inverses 106

Chapter 3 Word Search 112

Chapter 4 Polynomial and rational functions 113

4.1 Quadratic Functions and Models 113

4.2 Polynomial Functions and TheirGraphs 117

4.3 Dividing Polynomials 123

4.4 Real Zeros of Polynomials 126

4.5 Complex Zeros and the Fundamental Theorem of Algebra 131

4.6 Rational Functions 135

Chapter 4 WordSearch 140

Chapter 5 Exponential and logarithmic functions 141

5.1 Exponential Functions 141

5.2 The Natural Exponential Function 143

5.3 Logarithmic Functions 146

5.4 Laws of Logarithms 149

5.5 Exponential and Logarithmic Equations 152

5.6 Modeling with Exponential and Logarithmic Functions 155

Chapter 5 Word Search 159

Chapter 6 Trigonometric functions: right triangle approach 161

6.1 Angle Measure 161

6.2 Trigonometry of Right Triangles 164

6.3 Trigonometric Functions of Angles 168

6.4 Inverse Trigonometric Functions and Triangles 172

6.5 TheLaw of Sines 175

6.6 The Law of Cosines 177

Chapter 6 Word Search 180

chapter 7 Trigonometric functions: unit circle approach 181

7.1 The Unit Circle 181

7.2 Trigonometric Functions of Real Numbers 184

7.3 Trigonometric Graphs 187

7.4 More Trigonometric Graphs 191

7.5 Inverse Trigonometric Functions and TheirGraphs 193

7.6 Modeling Harmonic Motion 194

Chapter 7 Word Search 197

Chapter 8 Analytic trigonometry 199

8.1 Trigonometric Identities 199

8.2 Addition and Subtraction Formulas 202

8.3 Double-Angle, Half-Angle, and Product-Sum Formulas 204

8.4 Basic Trigonometric Equations 208

8.5 More Trigonometric Equations 210

Chapter 8 Word Search 214

Chapter 9 Polar Coordinates and Parametric Equations 215

9.1 Polar Coordinates 215

9.2 Graphs of Polar Equations 218

9.3 Polar Form of Complex Numbers; De Moivre's Theorem 222

9.4 PlaneCurvesand Parametric Equations 227

Chapter 9 Word Search 230

Chapter 10 Vector in Two and Three Dimensions 231

10.1 Vectors in Two Dimensions 231

10.2 The Dot Product 236

10.3 Three-Dimensional Coordinate Geometry 240

10.4 Vectors in Three Dimensions 242

10.5 The Cross Product 244

10.6 Equations of Lines and Planes 246

Chapter 10 Word Search 248

Chapter 11 System of Equations and Inequalities 249

11.1 Systems of Linear Equations in Two Variables 249

11.2 Systems of Linear Equations in Several Variables 253

11.3 Matrices and Systems of Linear Equations 257

11.4 The Algebra of Matrices 263

11.5 Inverses of Matrices and Matrix Equations 267

11.6 Determinants and Cramer's Rule 273

11.7 Partial Fractions 277

11.8 Systems of Nonlinear Equations 282

11.9 Systems of Inequalities 285

Chapter 11 Word Search 289

Chapter 12 Conic Sections 291

12.1 Parabolas 291

12.2 Ellipses 294

12.3 Hyperbolas 298

12.4 Shifted Conics 301

12.5 Rotation of Axes 305

12.6 PoSar Equations of Conies 308

Chapter 12 Word Search 312

Chapter 13 Sequences and series 313

13.1 Sequences and Summation Notation 313

13.2 Arithmetic Sequences 318

13.3 Geometric Sequences 319

13.4 Mathematics of Finance 322

13.5 Mathematical Induction 324

13.6 The Binomial Theorem 326

Chapter 13 Word Search 329

Chapter 14 Counting and probability 331

14.1 Counting Principles 331

14.2 Permutations and Combinations 333

14.3 Probability 337

14.4 Binomial Probability 342

14.5 Expected Value 344

Chapter 14 Word Search 346

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