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Algebra

25% developed
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This book requires that you first read Arithmetic.

Front


This book is part of a series on Algebra:

A printable version of Algebra is available. (edit it)

Preface

Chapter 0: An Introduction to Mathematics75% developed

Unit 1: Numbers, Variables and Relationships

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

Chapter 1: Elementary Arithmetic25% developed
Chapter 2: An Introduction to Algebra25% developed
Chapter 3: Solving Equations25% developed
Chapter 4: Inequalities0% developed

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 Plane25% developed
Chapter 6: Graphing Linear Functions25% developed
Chapter 7: Systems and Matrices25% developed
Chapter 8: Piecewise Functions0% developed

Unit 3: Polynomials

Chapter 9: Quadratic Functions0% developed
Chapter 10: Higher-Degree Polynomials0% developed

Unit 4: Other Functions

After covering polynomials, we will now be delving into more advanced functions.

Chapter 11: Properties of Functions0% developed
Chapter 12: Exponents and Logarithms0% developed
Chapter 13: Rational and Radical Functions0% developed
Chapter 14: Trigonometry0% developed

Unit 5: Algebra in Discrete Mathematics

Chapter 15: Sequences and Series25% developed
Chapter 16: Probability and Counting0% developed

Unit 6: Analytic Geometry

Chapter 17: Conic Sections25% developed
Chapter 18: Parametric Equations and Polar Coordinates25% developed
Chapter 19: Vectors25% developed

Unit 7: Advanced Algebra

Now that you have completed your mathematical journey, you may be wondering where to head over next. This unit provides eight optional chapters that can be done in any order you please. The eight 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 Numbers25% developed
Chapter 21: Approximation Theory25% developed
Chapter 22: Continued Fractions25% developed
Chapter 23: Theory of Equations25% developed
Chapter 24: Graphs and Networks25% developed
Chapter 25: Limits of Functions25% developed
Chapter 26: Boolean Algebra25% developed
Chapter 27: Group Theory25% developed

Appendix

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