# Algebra

## Front

This book is part of a series on **Algebra:**

## Preface

Chapter 0: An Introduction to Mathematics

## Unit 1: Numbers, Variables and Relationships

How can we use numbers and variables to find out unknown information?

Chapter 1: Elementary Arithmetic

Chapter 2: An Introduction to Algebra

Chapter 3: Solving Equations

Chapter 4: Inequalities

## Unit 2: An Introduction To Graphing

Math is a method of solving problems. You take information you know, and by manipulating it using mathematical principles, you can find information you don't know. Functions are the mathematical framework for solving problems. They have parameters, rules, and ways of being solved. This section will introduce you to functions and how to use them.

Chapter 5: The Cartesian Plane

Chapter 6: Graphing Linear Functions

Chapter 7: Systems and Matrices

Chapter 8: Piecewise Functions

## Unit 3: Polynomials

Chapter 9: Quadratic Functions

Chapter 10: Higher-Degree Polynomials

## Unit 4: Other Functions

Chapter 11: Properties of Functions

Chapter 12: Exponents and Logarithms

Chapter 13: Rational and Radical Functions

Chapter 14: Trigonometry

## Unit 5: Algebra in Discrete Mathematics

Chapter 15: Sequences and Series

Chapter 16: Probability and Statistics

## Unit 6: Analytic Geometry

Chapter 17: Conic Sections

Chapter 18: Parametric Equations and Polar Coordinates

Chapter 19: Vectors

## Unit 7: Advanced Algebra

Now that you have completed your mathematical journey, you may be wondering where to head over next. This unit provides six optional chapters that can be done in any order you please. The six chapters are meant to be independent from one another, and any of the chapters can be skipped entirely to put more focus on the topics that are of greater interest to you.

Chapter 20: Complex Numbers

Chapter 21: Approximation Theory

Chapter 22: Continued Fractions

Chapter 23: Theory of Equations

Chapter 24: Limits of Functions

Chapter 25: Group Theory