Prerequisites | |

Review of Real Numbers and Their Properties | |

Exponents and Radicals | |

Polynomials and Special Products | |

Factoring Polynomials | |

Rational Expressions | |

The Rectangular Coordinate System and Graphs | |

Chapter Summary | |

Review Exercises | |

Chapter Test Proofs in Mathematics | |

P.S. Problem Solving | |

Equations, Inequalities, and Mathematical Modeling | |

Graphs of Equations | |

Linear Equations in One Variable | |

Modeling with Linear Equations | |

Quadratic Equations and Applications | |

Complex Numbers | |

Other Types of Equations | |

Linear Inequalities in One Variable | |

Other Types of Inequalities | |

Chapter Summary | |

Review Exercises | |

Chapter Test Proofs in Mathematics | |

P.S. Problem Solving | |

Functions and Their Graphs | |

Linear Equations in Two Variables | |

Functions | |

Analyzing Graphs of Functions | |

A Library of Functions | |

Shifting, Reflecting, and Stretching Graphs | |

Combinations of Functions | |

Inverse Functions | |

Chapter Summary | |

Review Exercises | |

Chapter Test Cumulative Test: Chapters P-2 | |

Proofs in Mathematics | |

P.S. Problem Solving | |

Polynomial Functions | |

Quadratic Functions and Models | |

Polynomial Functions of Higher Degree | |

Polynomial and Synthetic Division | |

Zeros of Polynomial Functions | |

Mathematical Modeling | |

Chapter Summary | |

Review Exercises | |

Chapter Test Proofs in Mathematics | |

P.S. Problem Solving | |

Rational Functions and Conics | |

Rational Functions and Asymptotes | |

Graphs of Rational Functions | |

Conics | |

Translations of Conics | |

Chapter Summary | |

Review Exercises | |

Chapter Test Proofs in Mathematics | |

P.S. Problem Solving | |

Exponential and Logarithmic Functions | |

Exponential Functions and Their Graphs | |

Logarithmic Functions and Their Graphs | |

Properties of Logarithms | |

Exponential and Logarithmic Equations | |

Exponential and Logarithmic Models | |

Chapter Summary | |

Review Exercises | |

Chapter Test Cumulative Test: Chapters 3-5 | |

Proofs in Mathematics | |

P.S. Problem Solving | |

Trigonometery | |

Angles and Their Measure | |

Right Triangle Trigonometry | |

Trigonometric Functions of Any Angle | |

Graphs of Sine and Cosine Functions | |

Graphs of Other Trigonometric Functions | |

Inverse Trigonometric Functions | |

Applications and Models | |

Chapter Summary | |

Review Exercises | |

Chapter Test Proofs in Mathematics | |

P.S. Problem Solving | |

Analytic Trigonometry | |

Using Fundamental Identities | |

Verifying Trigonometric Identities | |

Solving Trigonometric Equations | |

Sum and Difference Formulas | |

Multiple-Angle and Product-to-Sum Formulas | |

Chapter Summary | |

Review Exercises | |

Chapter Test Proofs in Mathematics | |

P.S. Problem Solving | |

Additional Topics in Trigonometry | |

Law of Sines | |

Law of Cosines | |

Vectors in the Plane | |

Vectors and Dot Products | |

Trigonometric Form of a Complex Number | |

Chapter Summary | |

Review Exercises | |

Chapter Test Cumulative Test: Chapters 6-8 | |

Proofs in Mathematics | |

P.S. Problem Solving | |

Systems of Equations and Inequalities | |

Linear and Nonlinear Systems of Equations | |

Two-Variable Linear Systems | |

Multivariable Linear Systems | |

Partial Fractions | |

Systems of Inequalities | |

Linear Programming | |

Chapter Summary | |

Review Exercises | |

Chapter Test Proofs in Mathematics | |

P.S. Problem Solving | |

Matrices and Determinants | |

Matrices and Systems of Equations | |

Operations with Matrices | |

The Inverse of a Square Matrix | |

The Determinant of a Square Matrix | |

Applications of Matrices and Determinants | |

Chapter Summary | |

Review Exercises | |

Chapter Test Proofs in Mathematics | |

P.S. Problem Solving | |

Sequences, Series, and Probability | |

Sequences and Series | |

Arithmetic Sequences and Partial Sums | |

Geometric Sequences and Series | |

Mathematical Induction | |

The Binomial Theorem | |

Counting Principles | |

Probability | |

Chapter Summary | |

Review Exercises | |

Chapter Test Cumulative Test: Chapters 9-11 | |

Proofs in Mathematics | |

P.S. Problem Solving | |

Errors and the Algebra of Calculus | |

Concepts in Statistics (WEB) | |

Representing Data | |

Measures of Central Tendency and Dispersion | |

Least Squares Regression | |

Alternative/Expanded Version of Chapter P (WEB) | |

Operations with Real Numbers | |

Properties of Real Numbers | |

Algebraic Expressions | |

Operations with Polynomials | |

Factoring Polynomials | |

Factoring Trinomials | |

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