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# Boundless Algebra

## 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
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

Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
Factoring
Mathematical Inductions

## 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