Fundamentals | |

Chapter Overview | |

Real Numbers | |

Exponents and Radicals | |

Algebraic Expressions | |

Fractional Expressions | |

Equations | |

Modeling with Equations | |

Inequalities | |

Coordinate Geometry | |

Solving Equations and Inequalities Graphically | |

Lines | |

Modeling Variation | |

Functions | |

Chapter Overview | |

What Is a Function? | |

Graphs of Functions | |

Getting Information from the Graph of a Function | |

Average Rate of Change of a Function | |

Transformations of Functions | |

Combining Functions | |

One-to-One Functions and Their Inverses | |

Review | |

TeSt. Focus on Modeling: Functions as Models | |

Polynomial And Rational Functions | |

Chapter Overview | |

Quadratic Functions and Models | |

Polynomial Functions and Their Graphs | |

Dividing Polynomials | |

Real Zeros of Polynomials | |

Complex Numbers | |

Complex Zeros and the Fundamental Theorem of Algebra | |

Rational Functions | |

Review | |

TeSt. Focus on Modeling: Fitting Polynomial Curves to Data | |

Exponential And Logarithmic Functions | |

Chapter Overview | |

Exponential Functions | |

The Natural Exponential Function | |

Logarithmic Functions | |

Laws of Logarithms | |

Exponential and Logarithmic Equations | |

Modeling with Exponential and Logarithmic Functions | |

Review | |

TeSt. Focus on Modeling: Fitting Exponential and Power Curves to Data | |

Cumulative Review Test: Chapters 2, 3, and 4 | |

Trigonometric Functions: Unit Circle Approach | |

Chapter Overview | |

The Unit Circle | |

Trigonometric Functions of Real Numbers | |

Trigonometric Graphs | |

More Trigonometric Graphs | |

Inverse Trigonometric Functions and Their Graphs | |

Modeling Harmonic Motion | |

Review | |

TeSt. Focus on Modeling: Fitting Sinusoidal Curves to Data | |

Trigonometric Functions: Right Triangle Approach | |

Chapter Overview | |

Angle Measure | |

Trigonometry of Right Triangles | |

Trigonometric Functions of Angles | |

Inverse Trigonometric Functions and Triangles | |

The Law of Sines | |

The Law of Cosines | |

Review | |

TeSt. Focus on Modeling: Surveying | |

Analytic Trigonometry | |

Chapter Overview | |

Trigonometric Identities | |

Addition and Subtraction Formulas | |

Double-Angle, Half-Angle, and Sum-Product Identities | |

Basic Trigonometric Equations | |

More Trigonometric Equations | |

Review | |

TeSt. Focus on Modeling: Traveling and Standing Waves | |

Cumulative Review Test: Chapters 5, 6, and 7 | |

Polar Coordinates And Parametric Equations | |

Chapter Overview | |

Polar Coordinates | |

Graphs of Polar Equations | |

Polar Form of Complex Numbers | |

DeMoivre's Theorem | |

Plane Curves and Parametric Equations | |

Review | |

TeSt. Focus on Modeling: The Path of a Projectile | |

Vectors In Two And Three Dimensions | |

Chapter Overview | |

Vectors in Two Dimensions | |

The Dot Product | |

Three -Dimensional Coordinate Geometry | |

Vectors in Three Dimensions | |

The Cross Product | |

Equations of Lines and Planes | |

Review | |

TeSt. Focus on Modeling: Vector Fields | |

Cumulative Review Test: Chapters 8 and 9 | |

Systems Of Equations And Inequalities | |

Chapter Overview | |

Systems of Linear Equations in Two Variables | |

Systems of Linear Equations in Several Variables | |

Systems of Linear Equations: Matrices | |

The Algebra of Matrices | |

Inverses of Matrices and Matrix Equations | |

Determinants and Cramer's Rule | |

Partial Fractions | |

Systems of Non-Linear Equations | |

Systems of Inequalities | |

Review | |

TeSt. Focus on Modeling: Linear Programming | |

Analytic Geometry | |

Overview | |

Parabolas | |

Ellipses | |

Hyperbolas | |

Shifted Conics | |

Rotation of Axes | |

Polar Equations of Conics | |

Review | |

TeSt. Focus on Modeling: Conics in Architecture | |

Cumulative Review Test: Chapters 10 and 11 | |

Sequences And Series | |

Chapter Overview | |

Sequences and Summation Notation | |

Arithmetic Sequences | |

Geometric Sequences | |

Mathematics of Finance | |

Mathematical Induction | |

The Binomial Theorem | |

Review | |

TeSt. Focus on Modeling: Difference Equations | |

Limits: A Preview Of Calculu.S | |

Chapter Overview | |

Finding Limits Numerically and Graphically | |

Finding Limits Algebraically | |

Tangent Lines and Derivatives | |

Limits at Infinity: Limits of Sequences | |

Areas | |

Review | |

TeSt. Appendix: Calculators and Calculations | |

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