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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