Basic Algebraic Operations | |

Algebra and Real Numbers | |

Exponents and Radicals | |

Polynomials: Basic Operations and Factoring | |

Rational Expressions: Basic Operations | |

Review | |

Equations And Inequalities | |

Linear Equations and Applications | |

Linear Inequalities | |

Absolute Value | |

Complex Numbers | |

Quadratic Equations and Applications | |

Equations Involving Radicals | |

Chapter 1 Group Activity: Solving a Cubic Equation | |

Chapter 1 Review | |

Graphs | |

Rectangular Coordinates | |

Distance in the Plane | |

Equations of a Line | |

Linear Equations and Models | |

Chapter 2 Group Activity: Rates of Change | |

Chapter 2 Review | |

Functions | |

Functions | |

Graphing Functions | |

Transformations of Functions | |

Quadratic Functions | |

Combining Functions; Composition | |

Inverse Functions | |

Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan | |

Chapter 3 Review | |

1, 2, & 3 Cumulative Review Exercises | |

Polynomial And Rational Functions | |

Polynomial Functions And Models | |

Real Zeros and Polynomial Inequalities | |

Complex Zeros and Rational Zeros of Polynomials | |

Rational Functions and Inequalities | |

Variation and Modeling | |

Chapter 4 Group Activity: Interpolating Polynomials | |

Chapter 4 Review | |

Exponential And Logarithmic Functions | |

Exponential Functions | |

Exponential Models | |

Logarithmic Functions | |

Logarithmic Models | |

Exponential and Logarithmic Equations | |

Chapter 5 Group Activity: Growth of Increasing Functions | |

Chapter 5 Review | |

4 & 5 Cumulative Review Exercises | |

Trigonometric Functions | |

Angles and Their Measure | |

Right Triangle Trigonometry | |

Trigonometric Functions: A Unit Circle Approach | |

Trigonometric Functions: Properties and Graphs | |

More General Trigonometric Functions | |

Inverse Trigonometric Functions | |

Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer | |

Chapter 6 Review | |

Trigonometric Identities And Conditional Equations | |

Basic Identities and Their Use | |

Sum, Difference, and Cofunction Identities | |

Double-Angle and Half-Angle Identities | |

Product-Sum and Sum-Product Identities | |

Trigonometric Equations | |

Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) - A Harmonic Analysis Tool | |

Chapter 7 Review | |

Additional Topics In Trigonometry | |

Law of Sines | |

Law of Cosines | |

Vectors in the Plane | |

Polar Coordinates and Graphs | |

Complex Numbers and De Moivre's Theorem | |

Chapter 8 Group Activity: Conic Sections and Planetary Orbits | |

Chapter 8 Review | |

6, 7, & 8 Cumulative Review Exercises | |

Additional Topics In Analytic Geometry | |

Conic Sections; Parabola | |

Ellipse | |

Hyperbola | |

Rotation of Axes | |

Chapter 9 Group Activity: Focal Chords | |

Chapter 9 Review | |

Systems Of Equations And Inequalities; Matrices | |

Systems of Linear Equations | |

Solving Linear Systems Using Gauss-Jordan Elimination | |

Matrix Operations | |

Solving Linear Systems Using Inverse Matrices | |

Determinants and Cramer's Rule | |

Chapter 10 Group Activity: Modeling with Systems of Linear Equations | |

Systems of Nonlinear Equations | |

Systems of Linear Inequalities | |

Linear Programming | |

Chapter 10 Review | |

Sequences And Series | |

Sequences and Series | |

Mathematical Induction | |

Arithmetic and Geometric Sequences | |

Counting Techniques: Multiplication Principle, Permutations, and Combinations | |

Sample Spaces and Probability | |

Binomial Formula | |

Chapter 11 Group Activity: Sequences Specified by Recursion Formulas | |

Chapter 11 Review | |

9. 10, & 11 Cumulative Review Exercises | |

Limits: An Introduction To Calculus | |

Introduction to Limits | |

Computing Limits Algebraically | |

Limits at Infinity | |

The Derivative | |

Area and Calculus | |

Chapter 12 Group Activity: Derivatives of Exponential and Log Functions | |

Chapter 12 Review | |

Special Topics | |

Scientific Notation and Significant Digits | |

Partial Fractions | |

Parametric Equations | |

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Geometric Formulas | |

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