User:GoreyCat/AlgebraSandbox
Preface
Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures.
You've been asked to buy peanuts for you and your friends at a football game. You've collected $12.50. One bag is $2.75. You want to know how many bags you can buy. This is an algebra problem! Related problems are how much money will be left over, and what should you buy or in what proportions should you return the extra money to your friends.
Algebra helps us to predict things that we don't yet know and to determine the relationships between the things we do. Algebra is a powerful and rich branch of mathematics that is useful in everyday life as well as business, engineering, and other technical fields.
Contents
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 21: Advanced Polynomials
Chapter 22: Continued Fractions
Chapter 23: Theory of Equations and Inequalities
Chapter 24: Limits of Functions
Appendix
Resources
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