What is included with this book?
Preface to the Instructor | p. xiii |
List of Applications | p. xix |
Photo Credits | p. xxv |
To the Student | p. xxvi |
Graphs | p. 1 |
The Distance and Midpoint Formulas | p. 2 |
Graphs of Equations in Two Variables; Intercepts; Symmetry | p. 9 |
Lines | p. 19 |
Circles | p. 35 |
Chapter Review | p. 42 |
Chapter Test | p. 44 |
Chapter Projects | p. 45 |
Functions and Their Graphs | p. 47 |
Functions | p. 48 |
The Graph of a Function | p. 62 |
Properties of Functions | p. 71 |
Library of Functions; Piecewise-defined Functions | p. 82 |
Graphing Techniques: Transformations | p. 92 |
Mathematical Models: Building Functions | p. 104 |
Chapter Review | p. 109 |
Chapter Test | p. 114 |
Cumulative Review | p. 115 |
Chapter Projects | p. 116 |
Linear and Quadratic Functions | p. 117 |
Linear Functions and Their Properties | p. 118 |
Building Linear Functions from Data | p. 127 |
Quadratic Functions and Their Properties | p. 133 |
Quadratic Models; Building Quadratic Functions from Data | p. 145 |
Inequalities Involving Quadratic Functions | p. 154 |
Chapter Review | p. 158 |
Chapter Test | p. 160 |
Cumulative Review | p. 161 |
Chapter Projects | p. 162 |
Polynomial and Rational Functions | p. 163 |
Polynomial Functions and Models | p. 164 |
Properties of Rational Functions | p. 184 |
The Graph of a Rational Function | p. 195 |
Polynomial and Rational Inequalities | p. 209 |
The Real Zeros of a Polynomial Function | p. 215 |
Complex Zeros; Fundamental Theorem of Algebra | p. 229 |
Chapter Review | p. 234 |
Chapter Test | p. 238 |
Cumulative Review | p. 238 |
Chapter Projects | p. 239 |
Exponential and Logarithmic Functions | p. 241 |
Composite Functions | p. 242 |
One-to-One Functions; Inverse Functions | p. 249 |
Exponential Functions | p. 263 |
Logarithmic Functions | p. 277 |
Properties of Logarithms | p. 290 |
Logarithmic and Exponential Equations | p. 299 |
Compound Interest | p. 305 |
Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models | p. 315 |
Building Exponential, Logarithmic, and Logistic Models from Data | p. 327 |
Chapter Review | p. 334 |
Chapter Test | p. 340 |
Cumulative Review | p. 341 |
Chapter Projects | p. 342 |
Trigonometric Functions | p. 343 |
Angles and Their Measure | p. 344 |
Trigonometric Functions: Unit Circle Approach | p. 357 |
Properties of the Trigonometric Functions | p. 373 |
Graphs of the Sine and Cosine Functions | p. 386 |
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | p. 401 |
Phase Shift; Sinusoidal Curve Fitting | p. 408 |
Chapter Review | p. 419 |
Chapter Test | p. 424 |
Cumulative Review | p. 425 |
Chapter Projects | p. 426 |
Analytic Trigonometry | p. 427 |
The Inverse Sine, Cosine, and Tangent Functions | p. 428 |
The Inverse Trigonometric Functions (Continued) | p. 440 |
Trigonometric Identities | p. 446 |
Sum and Difference Formulas | p. 453 |
Double-angle and Half-angle Formulas | p. 463 |
Product-to-Sum and Sum-to-Product Formulas | p. 472 |
Trigonometric Equations (I) | p. 475 |
Trigonometric Equations (II) | p. 482 |
Chapter Review | p. 489 |
Chapter Test | p. 492 |
Cumulative Review | p. 493 |
Chapter Projects | p. 493 |
Applications of Trigonometric Functions | p. 495 |
Applications Involving Right Triangles | p. 496 |
The Law of Sines | p. 508 |
The Law of Cosines | p. 519 |
Area of a Triangle | p. 525 |
Simple Harmonic Motion; Damped Motion; Combining Waves | p. 531 |
Chapter Review | p. 541 |
Chapter Test | p. 545 |
Cumulative Review | p. 546 |
Chapter Projects | p. 546 |
Polar Coordinates; Vectors | p. 549 |
Polar Coordinates | p. 550 |
Polar Equations and Graphs | p. 558 |
The Complex Plane; DeMoivre's Theorem | p. 574 |
Vectors | p. 582 |
The Dot Product | p. 593 |
Vectors in Space | p. 601 |
The Cross Product | p. 610 |
Chapter Review | p. 616 |
Chapter Test | p. 620 |
Cumulative Review | p. 620 |
Chapter Projects | p. 621 |
Analytic Geometry | p. 623 |
Conics | p. 624 |
The Parabola | p. 625 |
The Ellipse | p. 634 |
The Hyperbola | p. 644 |
Rotation of Axes; General Form of a Conic | p. 656 |
Polar Equations of Conics | p. 664 |
Plane Curves and Parametric Equations | p. 670 |
Chapter Review | p. 682 |
Chapter Test | p. 685 |
Cumulative Review | p. 685 |
Chapter Projects | p. 686 |
Systems of Equations and Inequalities | p. 687 |
Systems of Linear Equations: Substitution and Elimination | p. 688 |
Systems of Linear Equations: Matrices | p. 702 |
Systems of Linear Equations: Determinants | p. 717 |
Matrix Algebra | p. 727 |
Partial Fraction Decomposition | p. 743 |
Systems of Nonlinear Equations | p. 750 |
Systems of Inequalities | p. 759 |
Linear Programming | p. 767 |
Chapter Review | p. 773 |
Chapter Test | p. 777 |
Cumulative Review | p. 778 |
Chapter Projects | p. 779 |
Sequences; Induction; the Binomial Theorem | p. 781 |
Sequences | p. 782 |
Arithmetic Sequences | p. 791 |
Geometric Sequences; Geometric Series | p. 797 |
Mathematical Induction | p. 809 |
The Binomial Theorem | p. 813 |
Chapter Review | p. 819 |
Chapter Test | p. 822 |
Cumulative Review | p. 822 |
Chapter Projects | p. 823 |
Counting and Probability | p. 825 |
Counting | p. 826 |
Permutations and Combinations | p. 831 |
Probability | p. 840 |
Chapter Review | p. 850 |
Chapter Test | p. 852 |
Cumulative Review | p. 853 |
Chapter Projects | p. 853 |
A Preview of Calculus: The Limit, Derivative, and Integral of a Function | p. 855 |
Finding Limits Using Tables and Graphs | p. 856 |
Algebra Techniques for Finding Limits | p. 861 |
One-sided Limits; Continuous Functions | p. 868 |
The Tangent Problem; The Derivative | p. 875 |
The Area Problem; The Integral | p. 883 |
Chapter Review | p. 889 |
Chapter Test | p. 893 |
Chapter Projects | p. 894 |
Review | p. A1 |
Algebra Essentials | p. A1 |
Geometry Essentials | p. A14 |
Polynomials | p. A22 |
Synthetic Division | p. A31 |
Rational Expressions | p. A35 |
Solving Equations | p. A43 |
Complex Numbers; Quadratic Equations in the Complex Number System | p. A54 |
Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications | p. A62 |
Interval Notation; Solving Inequalities | p. A72 |
nth Roots; Rational Exponents | p. A81 |
Graphing Utilities | p. B1 |
The Viewing Rectangle | p. B1 |
Using a Graphing Utility to Graph Equations | p. B3 |
Using a Graphing Utility to Locate Intercepts and Check for Symmetry | p. B6 |
Using a Graphing Utility to Solve Equations | p. B8 |
Square Screens | p. B10 |
Using a Graphing Utility to Graph Inequalities | p. B11 |
Using a Graphing Utility to Solve Systems of Linear Equations | p. B12 |
Using a Graphing Utility to Graph a Polar Equation | p. B13 |
Using a Graphing Utility to Graph Parametric Equations | p. B14 |
Answers | p. AN1 |
Index | p. I1 |
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