Algebra
PrefaceEdit
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.
ContentsEdit
Introduction to MathematicsEdit
- About This Book
- What is math, exactly? - And why should I care?
- Who should read this book - And what to expect
Numbers, Variables and RelationshipsEdit
How can we use numbers and variables to find out unknown information?
- Review
- Numbers and Variables
- Equations With One Variable
- Inequalities
Linear Functions An Introduction To GraphingEdit
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 common functions and how to use them.
- Introduction to Linear Functions
PolynomialsEdit
Graphing PolynomialsEdit
- More about Graphing
Sequences and SeriesEdit
Conic SectionsEdit
Complex NumbersEdit
Elementary Probability and StatisticsEdit
- Introduction to Probability and Statistics
- Probability
- Statistics
- Scatter Plots
Ongoing merging workEdit
TO DO
Fix algebra for Q & R in Proportions or Ratios section
Add word problems to multiplication
Add word problems to exponents
Add word problems for possible relationships part of inequalities
Add graphics for multiplying by 1 and -1 to description of special case multiply by -1
Add description for special case Going back to equality
Fill in example of half area function
Fix contents, Clarify Explanation
Move Todos here ... or fill 'em in
Why use standard form vs. Slope Intercept form? Need more context.
Continue Creating Links between pages.
Continue Creating Standard Algebra Heading ... Continue through Table of Contents
Leap in sophistication ... End of the conversational tone. Need to make friendlier, simpler
To be merged/unsorted
- In this book
- Theory
- Iteration
- Stemplots (Do we want this?)
- Talk:Algebra/ToInclude
- Arithmetic/Numerical Axioms (Was orphaned from the book, should keep an eye out for others)
- Equalities and Inequalities (Was orphaned from the book)
- Algebra
- Quadratic functions
- Solving equations
- Theory of Equations
- Redirect to another book (why?)
- Closure