Graphs and Models | |

Functions, graphs, and models | |

Using Graphing Utilities | |

Functions | |

Functions | |

Graphs and Properties | |

1-4 | |

Graphs and Transformations | |

Operations on Functions; Composition | |

Inverse Functions | |

Review | |

Group Activity | |

Mathematical Modeling–Choosing a Long Distance Calling Plan | |

Modeling with linear and quadratic functions | |

Linear Functions | |

Linear Equations and Models | |

Quadratic Functions | |

Complex Numbers | |

Quadratic Equations and Models | |

Additional Equation Solving Techniques | |

Solving Inequalities | |

Review | |

Group Activity | |

Mathematical Modeling in Population Studies Cumulative Review Exercise for Chapters | |

and 2 | |

Polynomial and rational functions | |

Polynomial Functions And Models | |

Polynomial Division | |

Real Zeros and Polynomial Inequalities | |

Complex Zeros and Rational Zeros of Polynomials | |

Rational Functions and Inequalities | |

Variation and Modeling | |

Review | |

Group Activity | |

Interpolating Polynomials | |

Modeling with exponential and logarithmic functions | |

Exponential Functions | |

Exponential Models | |

Logarithmic Functions | |

Logarithmic Models | |

Exponential and Logarithmic Equations | |

Review | |

Group Activity | |

Comparing Regression Models Cumulative Review Exercise for Chapters 3 and 4 | |

Trigonometric functions | |

Angles and Their Measure | |

Trigonometric Functions | |

A Unit Circle Approach | |

Solving Right Triangles | |

Properties of Trigonometric Functions | |

More General Trigonometric Functions and and Models | |

Inverse Trigonometric Functions | |

Review | |

Group Activity | |

A Predator-Prey Analysis Involving Mountain Lions and Deer | |

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 | |

Review | |

Group Activity | |

From M sin Bt + N cos Bt to A sin (Bt + C) | |

A Harmonic Analysis Tool | |

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 | |

Review | |

Group Activity | |

Conic Sections and Planetary Orbits Cumulative Review Exercise for Chapters 5, 6, and 7 | |

Modeling with systems of equations and inequalities | |

Systems of Linear Equations in Two Variables | |

Systems of Linear Equations in Three Variables | |

Systems of Linear Inequalities | |

Linear Programming | |

Review | |

Group Activity | |

Modeling with Systems of Equations | |

Matrices and determinants | |

Matrix Solutions to Linear Systems | |

Matrix Operations | |

Inverse of a Square Matrix | |

Matrix Equations and Systems of Linear Equations | |

Determinants | |

Properties of Determinants | |

Determinants and Cramer's Rule | |

Review | |

Group Activity | |

Using Matrices to Find Cost, Revenue, and Profit Cumulative Review Exercise for Chapters8 and 9 | |

SEquences, induction, probability | |

Sequences and Series | |

Mathematical Induction | |

Arithmetic and Geometric Sequences | |

Multiplication Principle, Permutations, and Combinations | |

Sample Spaces and Probability | |

Binomial Formula | |

Review | |

Group Activity | |

Sequences Specified by Recursion Formulas | |

ADDITIONAL TOPICS IN ANALYTIC GEOMETRY | |

Conic Sections; Parabola | |

Ellipse | |

Hyperbola | |

Translation and Rotation of Axes | |

Systems of Nonlinear Equations | |

Review Chapte | |

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