Linear Functions, Equations, and Inequalities | |

Real Numbers and Coordinate Systems | |

Introduction to Relations and Functions | |

Linear Functions | |

Equations of Lines and Linear Models | |

Linear Equations and Inequalities | |

Applications of Linear Functions | |

Analysis of Graphs of Functions | |

Graphs of Basic Functions and Relations; Symmetry | |

Vertical and Horizontal Shifts of Graphs | |

Stretching, Shrinking, and Reflecting Graphs | |

Absolute Value Functions: Graphs, Equations, Inequalities, and Applications | |

Piecewise-Defined Functions | |

Operations and Composition | |

Polynomial Functions | |

Complex Numbers | |

Quadratic Functions and Graphs | |

Quadratic Equations and Inequalities | |

Further Applications of Quadratic Functions and Models | |

Higher Degree Polynomial Functions and Graphs | |

Topics in the Theory of Polynomial Functions (I) | |

Topics in the Theory of Polynomial Functions (II) | |

Polynomial Equations and Inequalities; Further Applications and Models | |

Rational, Power, and Root Functions | |

Rational Functions and Graphs | |

More on Graphs of Rational Functions | |

Rational Equations, Inequalities, Applications, and Models | |

Functions Defined by Powers and Roots | |

Equations, Inequalities, and Applications Involving Root Functions | |

Inverse, Exponential, and Logarithmic Functions | |

Inverse Functions | |

Exponential Functions | |

Logarithms and Their Properties | |

Logarithmic Functions | |

Exponential and Logarithmic Equations and Inequalities | |

Applications and Modeling with Exponential and Logarithmic Functions | |

Analytic Geometry | |

Circles and Parabolas | |

Ellipses and Hyperbolas | |

Summary of the Conic Sections | |

Parametric Equations | |

Matrices and Systems of Equations and Inequalities | |

Systems of Equations | |

Solution of Linear Systems by the Echelon Method | |

Solution of Linear Systems by Row Transformations | |

Matrix Properties and Operations | |

Determinants and Cramer's Rule | |

Solution of Linear Systems by Matrix Inverses | |

Systems of Inequalities and Linear Programming | |

Partial Fractions | |

Trigonometric Functions and Applications | |

The Trigonometric (Circular) Functions | |

Graphs of the Sine and Cosine Functions | |

Graphs of the Other Circular Functions | |

Angles and Their Measures | |

Right Triangles and Functions of Angles | |

Evaluating Trigonometric Functions | |

Applications of Right Triangles | |

Harmonic Motion | |

Trigonometric Identities and Equations | |

Identities | |

Further Identities | |

The Inverse Circular Functions | |

Trigonometric Equations and Inequalities | |

Further Equations and Inequalities | |

Applications of Trigonometry; Vectors | |

The Law of Sines | |

The Law of Cosines and Area Formulas | |

Vectors and Their Applications | |

Trigonometric (Polar) Form of Complex Numbers | |

Powers and Roots of Complex Numbers | |

Polar Equations, Graphs, and Applications | |

More Parametric Equations | |

Further Topics in Algebra | |

Sequences and Series | |

Arithmetic Sequences and Series | |

Geometric Sequences and Series | |

The Binomial Theorem | |

Mathematical Induction | |

Counting Theory | |

Probability | |

An Introduction to Calculus: Limits and Derivatives | |

An Introduction to Limits | |

Techniques for Calculating Limits | |

One-Sided Limits; Limits Involving Infinity | |

Tangent Lines and Derivatives | |

Area Under a Curve | |

R. Reference: Basic Algebraic Concepts and Geometry Formulas | |

Review of Exponents and Polynomials | |

Review of Factoring | |

Review of Rational Expressions | |

Review of Negative and Rational Exponents | |

Review of Radicals | |

Review of Geometry Formulas | |

Vectors in Space | |

Polar Form of Conic Sections | |

Rotation of Axes | |

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