Description
Book SynopsisIncludes: Print Student Edition
Table of ContentsChapter 0 Preparing for Precalculus0-1 Sets0-2 Operations with Complex Numbers0-3 Quadratic Functions and Equations0-4
nth Roots and Real Exponents0-5 Systems of Linear Equations and Inequalities0-6 Matrix Operations0-7 Probability with Permutations and Combinations0-8 StatisticsChapter 1 Functions from a Calculus Perspective1-1 Functions1-2 Analyzing Graphs of Function and Relations1-3 Continuity, End Behavior, and Limits1-4 Extrema and Average Rates of Change1-5 Parent Functions and TransformationsExtend 1-5 Graphing Technology Lab: Nonlinear Inequalities1-6 Function Operations and Composition of Functions1-7 Inverse Relations and FunctionsExtend 1-7 Graphing Technology Lab: Graphing Inverses Using Parametric EquationsChapter 2 Power, Polynomials, and Rational Functions2-1 Power and Radical FunctionsExplore 2-2 Graphing Technology Lab: Behavior and Graphs2-2 Polynomial FunctionsExtend 2-2 Graphing Technology Lab: Hidden Behavior in Graphs2-3 The Remainder and Factor Theorems2-4 Zeros of Polynomial Functions2-5 Rational Functions2-6 Nonlinear InequalitiesChapter 3 Exponential and Logarithmic Functions3-1 Exponential FunctionsExtend 3-1 Graphing Technology Lab: Financial Literacy: Exponential Functions3-2 Logarithmic Functions3-3 Properties of Logarithms3-4 Exponential and Logarithmic EquationsExtend 3-4 Graphing Technology Lab: Exponential and Logarithmic Inequalities3-5 Modeling with Nonlinear RegressionChapter 4 Trigonometric Functions4-1 Right Triangle Trigonometry4-2 Degrees and Radians4-3 Trigonometric Functions on the Unit CircleExplore 4-4 Graphing Technology Lab: Graphing the Sine Function Parametrically4-4 Graphing Sine and Cosine FunctionsExtend 4-4 Graphing Technology Lab: Sums and Differences of Sinusoids4-5 Graphing Other Trigonometric Functions4-6 Inverse Trigonometric Functions4-7 The Law of Sines and the Law of CosinesChapter 5 Trigonometric Identities and Equations5-1 Trigonometric Identities5-2 Verifying Trigonometric Identities5-3 Solving Trigonometric EquationsExtend 5-3 Graphing Technology Lab: Solving Trigonometric Inequalities5-4 Sum and Difference IdentitiesExtend 5-4 Graphing Technology Lab: Reduction Identities5-5 Multiple-Angle and Product-to-Sum IdentitiesChapter 6 Systems of Equations and Matrices6-1 Multivariable Linear Systems and row Operations6-2 Matrix Multiplication, Inverses, and DeterminantsExtend 6-2 Graphing Technology Lab: Determinants and Areas of Polygons6-3 Solving Linear Systems Using Inverses and Cramer’s RuleExtend 6-3 Graphing Technology Lab: Matrices and Cryptography6-4 Partial Fractions6-5 Linear OptimizationChapter 7 Conic Sections and Parametric Equations7-1 Parabolas7-2 Ellipses and Circles7-3 Hyperbolas7-4 Rotations of Conic SectionsExtend 7-4 Graphing Technology Lab: Systems of Nonlinear Equations and Inequalities7-5 Parametric EquationsExtend 7-5 Graphing Technology Lab: Modeling with Parametric EquationsChapter 8 Vectors8-1 Introduction to Vectors8-2 Vectors in the Coordinate Plane8-3 Dot Products and Vector Projections8-4 Vectors in Three-Dimensional SpaceExtend 8-4 Graphing Technology Lab: Vector Transformations with Matrices8-5 Dot and Cross Products of Vectors in SpaceChapter 9 Polar Coordinates and Complex Numbers9-1 Polar CoordinatesExtend 9-1 Graphing Technology Lab: Investigate Graphs of Polar Equations9-2 Graphs of Polar Equations9-3 Polar and Rectangular Forms of Equations9-4 Polar Forms of Conic Sections9-5 Complex Numbers and De Moivre’s TheoremChapter 10 Sequences and Series10-1 Sequences, Series, and Sigma Notation10-2 Arithmetic Sequences and Series10-3 Geometric Sequences and SeriesExtend 10-3 Graphing Technology Lab: Continues Fractions10-4 Mathematical Induction10-5 The Binomial Theorem10-6 Functions as infinite SeriesExtend 10-6 Spreadsheet Lab: Detecting Patterns in DataChapter 11 Inferential Statistics11-1 Descriptive Statistics11-2 Probability Distributions11-3 The Normal DistributionExtend 11-3 Graphing Technology Lab: Transforming Skewed Data11-4 The Central Limit Theorem11-5 Confidence Intervals11-6 Hypothesis Testing11-7 Correlations and Linear RegressionExtend 11-7 Graphing Technology Lab: Median-Fit LinesChapter 12 Limits and Derivatives12-1 Estimating Limits Graphically12-2 Evaluating Limits AlgebraicallyExplore12-3 Graphing Technology Lab: The Slope of a Curve12-3 Tangent Lines and Velocity12-4 Derivatives12-5 Area Under a Curve and Integration12-6 The fundamental Theorem of Calculus
