Functions And Their Graphs | |

Introduction to Library of Parent Functions | |

Lines in the Plane | |

Functions | |

Graphs of Functions | |

Shifting, Reflection, and Stretching Graphs | |

Combinations of Functions | |

Inverse Functions | |

Linear Models and Scatter Plots | |

Polynomial And Rational Functions | |

Quadratic Functions | |

Polynomial Functions of Higher Degree | |

Real Zeros of Polynomial Functions | |

Complex Numbers | |

The Fundamental Theorem of Algebra | |

Rational Functions and Asymptotes | |

Graphs of Rational Functions | |

Quadratic Models | |

Progressive Summary: Chapters 1-2 | |

Exponential And Logarithmic Functions | |

Exponential Functions and Their Graphs | |

Logarithmic Functions and Their Graphs | |

Properties of Logarithms | |

Solving Exponential and Logarithmic Equations | |

Exponential and Logarithmic Models | |

Nonlinear Models | |

Cumulative Review: Chapters 1-3 | |

Progressive Summary: Chapters 1-3 | |

Trigonometric Functions | |

Radian and Degree Measure | |

Trigonometric Functions: The Unit Circle | |

Right Triangle Trigonometry | |

Trigonometric Functions of Any Angle | |

Graphs of Sine and Cosine Functions | |

Graphs of Other Trigonometric Functions | |

Inverse Trigonometric Functions | |

Applications and Models | |

Analytic Trigonometry | |

Using Fundamental Identities | |

Verifying Trigonometric Identities | |

Solving Trigonometric Equations | |

Sum and Difference Formulas | |

Multiple-Angle and Product-to-Sum Formulas | |

Additional Topics In Trigonometry | |

Law of Sines | |

Law of Cosines | |

Vectors in the Plane | |

Vectors and Dot Products | |

Trigonometric Form of a Complex Number | |

Cumulative Test: Chapters 4-6 | |

Progressive Summary: Chapters 1-6 | |

Linear Systems And Matrices | |

Solving Systems of Equations | |

Systems of Linear Equations in Two Variables | |

Multivariable Linear Systems | |

Matrices and Systems of Equations | |

Operations with Matrices | |

The Inverse of a Square Matrix | |

The Determinant of a Square Matrix | |

Applications of Matrices and Determinants | |

Sequences, Series, And Probability | |

Sequences and Series | |

Arithmetic Sequences and Partial Sums | |

Geometric Sequences and Series | |

Mathematical Induction | |

The Binomial Theorem | |

Counting Principles | |

Probability | |

Topics In Analytic Geometry | |

Circles and Parabolas | |

Ellipses | |

Hyperbolas | |

Rotation and Systems of Quadratic Equations | |

Parametric Equations | |

Polar Coordinates | |

Graphs of Polar Equations | |

Polar Equations of Conics | |

Cumulative Test: Chapters 7-9 | |

Progressive Summary: Chapters 3-9 | |

Analytic Geometry In Three Dimensions | |

The Three-Dimensional Coordinate System | |

Vectors in Space | |

The Cross Product of Two Vectors | |

Lines and Planes in Space | |

Limits And An Introduction To Calculus | |

Introduction to Limits | |

Techniques for Evaluating Limits | |

The Tangent Line Problem | |

Limits at Infinity and Limits of Sequences | |

The Area Problem | |

Cumulative Test: Chapters 10-11 | |

Progressive Summary: Chapters 3-11 | |

Technology Support Guide | |

Review of Graphs, Equations, and Inequalities | |

The Cartesian Plane | |

Graphs of Equations | |

Solving Equations Algebraically and Graphically | |

Solving Inequalities Algebraically and Graphically | |

Solving Inequalities Algebraically and Graphically | |

Representing Data Graphically | |

Concepts in Statistics | |

Measures of Central Tendency and Dispersion | |

Least Squares Regression | |

Variation | |

Solving Linear Equations and Inequalities | |

Systems of Inequalities | |

Solving Systems of Inequalities | |

Linear Programming | |

Study Capsules | |

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