Chapter 1: Linear and Quadratic FunctionsSection 1-1:
Points and Lines
Section 1-2:
Slopes of Lines
Section 1-3:
Finding Equations of Lines
Section 1-4:
Linear Functions and Models
Section 1-5:
The Complex Numbers
Section 1-6:
Solving Quadratic Equtions
Section 1-7:
Quadratic Functions and Their Graphs
Section 1-8:
Quadratic Models
Page 48:
Chapter SummaryPage 50:
Chapter Test
Page 4:
Class Exercises
Page 5:
Written Exercises
Chapter 2: Polynomial FunctionsSection 2-1:
Polynomials
Section 2-2:
Synthetic Division; The Remainder and Factor Theorems
Section 2-3:
Graphing Polynomial Functions
Section 2-4:
Finding Maximums and Minimums of Polynomial Functions
Section 2-5:
Using Technology to Approximate Roots of Polynomial Equations
Section 2-6:
Solving Polynomial Equations by Factoring
Section 2-7:
General Results for Polynomial Equations
Page 91:
Chapter SummaryPage 93:
Chapter Test
Page 55:
Class Exercises
Page 56:
Written Exercises
Section 3-1:
Linear Inequalities; Absolute Value
Section 3-2:
Polynomial Inequalities in One Variable
Section 3-3:
Polynomial Inequalities in Two Variables
Section 3-4:
Linear Programming
Page 114:
Chapter SummaryPage 115:
Chapter Test
Page 116:
Cummulative Review
Page 98:
Class Exercises
Page 98:
Written Exercises
Section 4-1:
Functions
Section 4-2:
Operations on Functions
Section 4-3:
Reflecting Graphs; Symmetry
Section 4-4:
Periodic Functions; Stretching and Trnaslating Graphs
Section 4-5:
Inverse Functions
Section 4-6:
Functions of Two Variables
Section 4-7:
Forming Functions from Verbal Descritions
Page 165:
Chapter Summary
Page 166:
Chapter Test
Page 122:
Written Exercises
Page 122:
Class Exercises
Chapter 5: Exponents and LogarithmsSection 5-1:
Growth and Decay: Integral Exponents
Section 5-2:
Growth and Decay: Rational Exponents
Section 5-3:
Exponential Functions
Section 5-4:
The Number e and the Function e^x
Section 5-5:
Logarithmic Functions
Section 5-6:
Laws of Logarithms
Section 5-7:
Exponential Equations; Changing Bases
Page 208:
Chapter SummaryPage 209:
Chapter Test
Page 172:
Class Exercises
Page 173:
Written Exercises
Chapter 6: Analytic GeometrySection 6-1:
Coordinate Proofs
Section 6-2:
Equations of Circles
Section 6-3:
Ellipses
Section 6-4:
Hyperbolas
Section 6-5:
Parabolas
Section 6-6:
Systems of Second-Degree Equations
Section 6-7:
A New Look at Conic Sections
Page 252:
Chapter SummaryPage 253:
Chapter Test
Page 254:
Cummulative Review
Page 217:
Class Exercises
Page 218:
Written Exercises
Chapter 7: Trigonometric FunctionsSection 7-1:
Measurement of Angles
Section 7-2:
Sectors of Circles
Section 7-3:
The Sine and Cosine Functions
Section 7-4:
Evaluating and Graphing Sine and Cosine
Section 7-5:
The Other Trigonometric Functions
Section 7-6:
The Inverse Trigonometric Functions
Page 291:
Chapter SummaryPage 293:
Chapter Test
Page 260:
Class Exercises
Page 261:
Written Exercises
Chapter 8: Trigonometric Equations and ApplicationsSection 8-1:
Simple Trigonometric Equations
Section 8-2:
Sine and Cosine Curves
Section 8-3:
Modeling Periodic Behavior
Section 8-4:
Relationships Among the Functions
Section 8-5:
Solving More Difficult Trigonometric Equations
Page 328:
Chapter SummaryPage 328:
Chapter Test
Page 299:
Written Exercises
Page 299:
Class Exercises
Chapter 9: Triangle TrigonometrySection 9-1:
Solving Right Triangles
Section 9-2:
The Area of a Triangle
Section 9-3:
The Law of Sines
Section 9-4:
The Law of Cosines
Section 9-5:
Applications of Trigonometry to Navigation and Surveying
Page 364:
Chapter SummaryPage 365:
Chapter Test
Page 333:
Class Exercises
Page 334:
Written Exercises
Chapter 10: Trigonometric Addition FormulasSection 10-1:
Formulas for cos and sin
Section 10-2:
Formulas for tan
Section 10-3:
Double-Angle and Half-Angle Formulas
Section 10-4:
Solving Trigonometric Equations
Page 391:
Chapter SummaryPage 393:
Chapter Test
Page 372:
Class Exercises
Page 373:
Written Exercises
Chapter 11: Polar Coordinates and Complex NumbersSection 11-1:
Polar Coordinates and Graphs
Section 11-2:
Geometric Representation of Complex Numbers
Section 11-3:
Power of Complex Numbers
Section 11-4:
Roots of Complex Numbers
Page 414:
Chapter SummaryPage 415:
Chapter Test
Page 416:
Cummulative Review
Page 399:
Class Exercises
Page 400:
Written Exercises
Chapter 12: Vectors and DeterminantsSection 12-1:
Geometric Representation of Vectors
Section 12-2:
Algebraic Representation of Vectors
Section 12-3:
Vector and Parametric Equations: Motion in a Plane
Section 12-4:
Parallel and Perpendicular Vectors; Dot Product
Section 12-5:
Vectors in Three Dimensions
Section 12-6:
Vectors and Planes
Section 12-7:
Determinants
Section 12-8:
Applications of Determinants
Section 12-9:
Determinnats and Vectors in Three Dimensions
Page 468:
Chapter SummaryPage 469:
Chapter Test
Page 422:
Class Exercises
Page 423:
Written Exercises
Chapter 13: Sequences and SeriesSection 13-1:
Arithmetic and Geometric Sequences
Section 13-2:
Recursive Definitions
Section 13-3:
Arithmetic and Geometric Series and Their Sums
Section 13-4:
Limits of Infinite Sequences
Section 13-5:
Sums of Infinite Series
Section 13-6:
Sigma Notation
Section 13-7:
Mathematical Induction
Page 514:
Chapter SummaryPage 515:
Chapter Test
Page 476:
Class Exercises
Page 476:
Written Exercises
Section 14-1:
Matrix Addition and Scalar Multiplication
Section 14-2:
Matrix Multiplication
Section 14-3:
Applying Matrices to Linear Systems
Section 14-4:
Communication Matrices
Section 14-5:
Transition Matrices
Section 14-6:
Transformation Matrices
Page 560:
Chapter Test
Page 560:
Chapter SummaryPage 562:
Cummulative Review
Page 520:
Class Exercises
Page 520:
Written Exercises
Section 15-1:
Venn Diagrams
Section 15-2:
The Multiplication, Addition, and Complement Principles
Section 15-3:
Permutations and Combinations
Section 15-4:
Permutations with Repetition; Circular Permutations
Section 15-5:
The Binomial Theorem; Pascal's Theorem
Page 594:
Chapter SummaryPage 596:
Chapter Test
Page 568:
Class Exercises
Page 568:
Written Exercises
Section 16-1:
Introduction to Probability
Section 16-2:
Probability of Events Occuring Together
Section 16-3:
The Binomial Probability Theorem
Section 16-4:
Probability Problems Solved with Combinations
Section 16-5:
Working with Conditional Probability
Section 16-6:
Expected Value
Page 636:
Chapter SummaryPage 636:
Chapter Test
Page 602:
Class Exercises
Page 603:
Written Exercises
Section 17-1:
Tables, Graphs, and Averages
Section 17-2:
Box-and-Whisker Plots
Section 17-3:
Variability
Section 17-4:
The Normal Distribution
Section 17-5:
Sampling
Section 17-6:
Confidence Intervals for Surveys and Polls
Page 680:
Chapter SummaryPage 681:
Chapter Test
Page 643:
Written Exercises
Page 643:
Class Exercises
Chapter 18: Curve Fitting and ModelsSection 18-1:
Introduction to Curve Fitting; the Least-Squares Line
Section 18-2:
Fitting Exponential Curves
Section 18-3:
Fitting Power Curves
Section 18-4:
Choosing the Best Model
Page 709:
Chapter SummaryPage 710:
Chapter Test
Page 711:
Cummulative Review
Page 687:
Class Exercises
Page 688:
Written Exercises
Chapter 19: Limits, Series, and Iterated FunctionsSection 19-1:
Limits and Functions
Section 19-2:
Graphs of Rational Functions
Section 19-3:
Using Technology to Approximate the Area Under a Curve
Section 19-4:
Power Series
Section 19-5:
Analyzing Orbits
Section 19-6:
Applications of Iterated Functions
Page 748:
Chapter SummaryPage 749:
Chapter Test
Page 723:
Class Exercises
Page 724:
Written Exercises
Chapter 20: An Introduction to CalculusSection 20-1:
The Slope of a Curve
Section 20-2:
Using Derivatives in Curve Sketching
Section 20-3:
Extreme Value Problems
Section 20-4:
Velocity and Acceleration
Page 781:
Chapter SummaryPage 782:
Chapter Test
Page 783:
Cummulative Review
Page 761:
Class Exercises
Page 762:
Written Exercises
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