Description: Chapter 0 Preparing for Precalculus 0-1 Sets 0-2 Operations with Complex Numbers 0-3 Quadratic Functions and Equations 0-4 n th Roots and Real Exponents 0-5 Systems of Linear Equations and Inequalities 0-6 Matrix Operations 0-7 Probability with Permutations and Combinations 0-8 Statistics Chapter 1 Functions from a Calculus Perspective 1-1 Functions 1-2 Analyzing Graphs of Function and Relations 1-3 Continuity, End Behavior, and Limits 1-4 Extrema and Average Rates of Change 1-5 Parent Functions and Transformations Extend 1-5 Graphing Technology Lab: Nonlinear Inequalities 1-6 Function Operations and Composition of Functions 1-7 Inverse Relations and Functions Extend 1-7 Graphing Technology Lab: Graphing Inverses Using Parametric Equations Chapter 2 Power, Polynomials, and Rational Functions 2-1 Power and Radical Functions Explore 2-2 Graphing Technology Lab: Behavior and Graphs 2-2 Polynomial Functions Extend 2-2 Graphing Technology Lab: Hidden Behavior in Graphs 2-3 The Remainder and Factor Theorems 2-4 Zeros of Polynomial Functions 2-5 Rational Functions 2-6 Nonlinear Inequalities Chapter 3 Exponential and Logarithmic Functions 3-1 Exponential Functions Extend 3-1 Graphing Technology Lab: Financial Literacy: Exponential Functions 3-2 Logarithmic Functions 3-3 Properties of Logarithms 3-4 Exponential and Logarithmic Equations Extend 3-4 Graphing Technology Lab: Exponential and Logarithmic Inequalities 3-5 Modeling with Nonlinear Regression Chapter 4 Trigonometric Functions 4-1 Right Triangle Trigonometry 4-2 Degrees and Radians 4-3 Trigonometric Functions on the Unit Circle Explore 4-4 Graphing Technology Lab: Graphing the Sine Function Parametrically 4-4 Graphing Sine and Cosine Functions Extend 4-4 Graphing Technology Lab: Sums and Differences of Sinusoids 4-5 Graphing Other Trigonometric Functions 4-6 Inverse Trigonometric Functions 4-7 The Law of Sines and the Law of Cosines Chapter 5 Trigonometric Identities and Equations 5-1 Trigonometric Identities 5-2 Verifying Trigonometric Identities 5-3 Solving Trigonometric Equations Extend 5-3 Graphing Technology Lab: Solving Trigonometric Inequalities 5-4 Sum and Difference Identities Extend 5-4 Graphing Technology Lab: Reduction Identities 5-5 Multiple-Angle and Product-to-Sum Identities Chapter 6 Systems of Equations and Matrices 6-1 Multivariable Linear Systems and row Operations 6-2 Matrix Multiplication, Inverses, and Determinants Extend 6-2 Graphing Technology Lab: Determinants and Areas of Polygons 6-3 Solving Linear Systems Using Inverses and Cramer''s Rule Extend 6-3 Graphing Technology Lab: Matrices and Cryptography 6-4 Partial Fractions 6-5 Linear Optimization Chapter 7 Conic Sections and Parametric Equations 7-1 Parabolas 7-2 Ellipses and Circles 7-3 Hyperbolas 7-4 Rotations of Conic Sections Extend 7-4 Graphing Technology Lab: Systems of Nonlinear Equations and Inequalities 7-5 Parametric Equations Extend 7-5 Graphing Technology Lab: Modeling with Parametric Equations Chapter 8 Vectors 8-1 Introduction to Vectors 8-2 Vectors in the Coordinate Plane 8-3 Dot Products and Vector Projections 8-4 Vectors in Three-Dimensional Space Extend 8-4 Graphing Technology Lab: Vector Transformations with Matrices 8-5 Dot and Cross Products of Vectors in Space Chapter 9 Polar Coordinates and Complex Numbers 9-1 Polar Coordinates Extend 9-1 Graphing Technology Lab: Investigate Graphs of Polar Equations 9-2 Graphs of Polar Equations 9-3 Polar and Rectangular Forms of Equations 9-4 Polar Forms of Conic Sections 9-5 Complex Numbers and De Moivre''s Theorem Chapter 10 Sequences and Series 10-1 Sequences, Series, and Sigma Notation 10-2 Arithmetic Sequences and Series 10-3 Geometric Sequences and Series Extend 10-3 Graphing Technology Lab: Continues Fractions 10-4 Mathematical Induction 10-5 The Binomial Theorem 10-6 Functions as infinite Series Extend 10-6 Spreadsheet Lab: Detecting Patterns in Data Chapter 11 Inferential Statistics 11-1 Descriptive Statistics 11-2 Probability Distributions 11-3 The Normal Distribution Extend 11-3 Graphing Technology Lab: Transforming Skewed Data 11-4 The Central Limit Theorem 11-5 Confidence Intervals 11-6 Hypothesis Testing 11-7 Correlations and Linear Regression Extend 11-7 Graphing Technology Lab: Median-Fit Lines Chapter 12 Limits and Derivatives 12-1 Estimating Limits Graphically 12-2 Evaluating Limits Algebraically Explore12-3 Graphing Technology Lab: The Slope of a Curve 12-3 Tangent Lines and Velocity 12-4 Derivatives 12-5 Area Under a Curve and Integration 12-6 The fundamental Theorem of Calculus

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