Basic Algebraic Operations | |

Algebra and Real Numbers | |

Exponents | |

Radicals | |

Polynomials: Basic Operations | |

Review | |

Equations and Inequalities | |

Linear Equations and Applications | |

Linear Inequalities | |

Absolute Value | |

Complex Numbers | |

Quadratic Equations and Applications | |

Equations Involving Radicals | |

Group Activity: Solving a Cubic Equation | |

Review | |

Graphs | |

Cartesian Coordinate System | |

Distance in the Plane | |

Equations of a Line | |

Linear Equations and Models | |

Group Activity: Rates of Change | |

Review | |

Functions | |

Functions | |

Graphing Functions | |

Transformations of Functions | |

Quadratic Functions | |

Combining Functions; Composition | |

Inverse Functions | |

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

Review | |

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 | |

Group Activity: Interpolating Polynomials | |

Review | |

Exponential and Logarithmic Functions | |

Exponential Functions | |

Exponential Models | |

Logarithmic Functions | |

Logarithmic Models | |

Exponential and Logarithmic Equations | |

Group Activity: Growth of Increasing Functions | |

Review | |

Cumulative Review Exercises | |

Additional Topics in Analytic Geometry | |

Conic Sections; Parabola | |

Ellipse | |

Hyperbola | |

Group Activity: Focal Chords | |

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 7 Group Activity: Modeling with Systems of Linear Equations | |

Systems of Nonlinear Equations | |

Systems of Linear Inequalities | |

Linear Programming | |

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 | |

Group Activity: Sequences Specified by Recursion Formulas | |

Review | |

Cumulative Review Exercises | |

Special Topics | |

Scientific Notation and Significant Digits | |

Partial Fractions | |

Parametric Equations | |

| |

Geometric Formulas | |

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