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| Graphs and Models | |
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| Functions, graphs, and models | |
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| Using Graphing Utilities | |
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| Functions | |
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| Functions | |
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| Graphs and Properties | |
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| 1-4 | |
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| Graphs and Transformations | |
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| Operations on Functions; Composition | |
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| Inverse Functions | |
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| Review | |
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| Group Activity | |
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| Mathematical Modeling–Choosing a Long Distance Calling Plan | |
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| Modeling with linear and quadratic functions | |
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| Linear Functions | |
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| Linear Equations and Models | |
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| Quadratic Functions | |
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| Complex Numbers | |
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| Quadratic Equations and Models | |
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| Additional Equation Solving Techniques | |
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| Solving Inequalities | |
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| Review | |
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| Group Activity | |
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| Mathematical Modeling in Population Studies Cumulative Review Exercise for Chapters | |
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| and 2 | |
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| Polynomial and rational functions | |
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| Polynomial Functions And Models | |
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| Polynomial Division | |
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| Real Zeros and Polynomial Inequalities | |
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| Complex Zeros and Rational Zeros of Polynomials | |
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| Rational Functions and Inequalities | |
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| Variation and Modeling | |
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| Review | |
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| Group Activity | |
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| Interpolating Polynomials | |
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| Modeling with exponential and logarithmic functions | |
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| Exponential Functions | |
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| Exponential Models | |
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| Logarithmic Functions | |
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| Logarithmic Models | |
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| Exponential and Logarithmic Equations | |
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| Review | |
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| Group Activity | |
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| Comparing Regression Models Cumulative Review Exercise for Chapters 3 and 4 | |
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| Trigonometric functions | |
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| Angles and Their Measure | |
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| Trigonometric Functions | |
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| A Unit Circle Approach | |
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| Solving Right Triangles | |
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| Properties of Trigonometric Functions | |
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| More General Trigonometric Functions and and Models | |
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| Inverse Trigonometric Functions | |
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| Review | |
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| Group Activity | |
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| A Predator-Prey Analysis Involving Mountain Lions and Deer | |
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| Trigonometric identities and conditional equations | |
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| Basic Identities and Their Use | |
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| Sum, Difference, and Cofunction Identities | |
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| Double-Angle and Half-Angle Identities | |
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| Product-Sum and Sum-Product Identities | |
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| Trigonometric Equations | |
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| Review | |
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| Group Activity | |
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| From M sin Bt + N cos Bt to A sin (Bt + C) | |
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| A Harmonic Analysis Tool | |
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| Additional topics in trigonometry | |
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| Law of Sines | |
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| Law of Cosines | |
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| Vectors in the Plane | |
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| Polar Coordinates and Graphs | |
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| Complex Numbers and De Moivre's Theorem | |
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| Review | |
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| Group Activity | |
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| Conic Sections and Planetary Orbits Cumulative Review Exercise for Chapters 5, 6, and 7 | |
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| Modeling with systems of equations and inequalities | |
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| Systems of Linear Equations in Two Variables | |
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| Systems of Linear Equations in Three Variables | |
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| Systems of Linear Inequalities | |
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| Linear Programming | |
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| Review | |
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| Group Activity | |
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| Modeling with Systems of Equations | |
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| Matrices and determinants | |
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| Matrix Solutions to Linear Systems | |
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| Matrix Operations | |
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| Inverse of a Square Matrix | |
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| Matrix Equations and Systems of Linear Equations | |
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| Determinants | |
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| Properties of Determinants | |
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| Determinants and Cramer's Rule | |
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| Review | |
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| Group Activity | |
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| Using Matrices to Find Cost, Revenue, and Profit Cumulative Review Exercise for Chapters8 and 9 | |
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| SEquences, induction, probability | |
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| Sequences and Series | |
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| Mathematical Induction | |
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| Arithmetic and Geometric Sequences | |
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| Multiplication Principle, Permutations, and Combinations | |
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| Sample Spaces and Probability | |
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| Binomial Formula | |
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| Review | |
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| Group Activity | |
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| Sequences Specified by Recursion Formulas | |
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| ADDITIONAL TOPICS IN ANALYTIC GEOMETRY | |
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| Conic Sections; Parabola | |
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| Ellipse | |
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| Hyperbola | |
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| Translation and Rotation of Axes | |
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| Systems of Nonlinear Equations | |
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| Review Chapte | |