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Numbers and Operations

Inequalities With Polynomial and Rational Functions

Introduction to Arithmetic Operations

Exponents, Logarithms, and Inverse Functions

Properties of Real Numbers

Inverse and Composite Functions

Basic Applications of Arithmetic Operations

Introduction to Exponents and Logarithms

Radicals

Graphs of Exponential and Logarithmic Functions

Further Exponents

Working With Logarithms

Introduction to Equations, Inequalities, and Graphing

The Real Number e

Variables and Expressions

Applications of Exponential and Logarithmic Functions

Introduction to Equations

Matrices

Inequalities

Introduction to Matrices

Graphing and Equations of Two Variables

Using Matrices to Solve Systems of Equations

Systems of Equations

Inverses of Matrices

Systems of Equations in Two Variables

Determinants and Cramer's Rule

Systems of Equations in Three Variables

Trigonometry

Systems of Inequalities and Linear Programming

Trigonometry and Right Triangles

Functions

Trigonometric Functions and the Unit Circle

Introduction to Functions

Trigonometric Identities

Domain and Range

Conic Sections

Properties of Functions

Introduction to Conic Sections

Transformations

The Parabola

Linear Functions

The Circle and the Ellipse

Introduction to Linear Functions

The Hyperbola

Working With Lines

Nonlinear Systems of Equations and Inequalities

Applications of Linear Functions

Sequences and Series

Quadratic Functions and Factoring

Sequences and Series

Introduction to Quadratic Functions

Arithmetic Sequences and Series

Graphs of Quadratic Functions

Geometric Sequences and Series

Factoring

Mathematical Inductions

Applications of Quadratic Functions

Combinatorics and Probability

Polynomials and Rational Functions

Combinatorics

Introduction to Polynomials

The Binomial Theorem

Graphing Polynomial Functions

Probability

Polynomial Division

Complex Numbers and Polar Coordinates

Zeroes of Polynomial Functions

The Polar Coordinate System

Rational Functions

Complex Numbers