Friday, January 27, 2012

Elementary Algebra TOC - Free to Read Online (No Login!)

Here is the table of contents for the open Elementary Algebra textbook found on the FlatWorld Knowledge website.  You will find that the content is fairly modular, I have written it from the ground up with the expectation that instructors will modify it to suit their particular course.  I am confident that everything needed for a Beginning Algebra (Algebra 1) course is covered, but feel free to MIYO (make it your own) by customizing it as you please. This textbook has the advantage over other open source material in that it has been thoroughly reviewed and vetted through the traditional publishing process.  (Note: Be patient with the website, there are many math elements to be rendered for the web.)

Chapter 1 - Real Numbers and Their Operations

1.1 Real Numbers and The Number Line
1.2 Adding and Subtracting Integers
1.3 Multiplying and Dividing Integers
1.4 Fractions
1.5 Review of Decimals and Percents
1.6 Exponents and Square Roots
1.7 Order of Operations
1.8 Review Exercises and Sample Exam

Chapter 2 - Linear Equations and Inequalities 

2.1 Introduction to Algebra
2.2 Simplifying Algebraic Expressions
2.3 Linear Equations: Part I
2.4 Linear Equations: Part II
2.5 Applications of Linear Equations
2.6 Ratio and Proportion Applications
2.7 Introduction to Inequalities and Interval Notation
2.8 Linear Inequalities (one variable)
2.9 Review Exercises and Sample Exam

Chapter 3 - Graphing Lines

3.1 Rectangular Coordinate System
3.2 Graph by Plotting Points
3.3 Graph using Intercepts
3.4 Graph using the y-intercept and Slope
3.5 Finding Linear Equations
3.6 Parallel and Perpendicular Lines
3.7 Introduction to Functions
3.8 Linear Inequalities (Two Variables)
3.9 Review Exercises and Sample Exam

Chapter 4 - Solving Linear Systems 

4.1 Solving Linear Systems by Graphing
4.2 Solving Linear Systems by Substitution
4.3 Solving Linear Systems by Elimination
4.4 Applications of Linear Systems
4.5 Solving Systems of Linear Inequalities (Two Variables)
4.6 Review Exercises and Sample Exam

Chapter 5 - Polynomials and Their Operations 

5.1 Rules of Exponents (Integer Exponents)
5.2 Introduction to Polynomials and Evaluating
5.3 Adding and Subtracting Polynomials
5.4 Multiplying Polynomials and Special Products
5.5 Dividing Polynomials
5.6 Negative Exponents and Scientific Notation
5.7 Review Exercises and Sample Exam

Chapter 6- Factoring and Solving by Factoring

6.1 Introduction to Factoring
6.2 Factoring Trinomials
6.3 Factoring Trinomials ax^2 + bx + c
6.4 Factoring Binomials
6.5 General Guidelines for Factoring Polynomials
6.6 Solving Equations by Factoring
6.7 Applications involving Quadratic Equations
6.8 Review Exercises and Sample Exam

Chapter 7- Rational Expressions and Equations

7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions
7.4 Complex Fractions
7.5 Solving Rational Equations
7.6 Applications of Rational Equations
7.7 Variation
7.8 Review Exercises and Sample Exam

Chapter 8- Radical Expressions and Equations 

8.1 Radicals
8.2 Simplifying Radical Expressions
8.3 Adding and Subtracting Radical Expressions
8.4 Multiplying and Dividing Radical Expressions
8.5 Rational Exponents
8.6 Solving Radical Equations
8.7 Review Exercises and Sample Exam

Chapter 9- Solving Quadratic Equations and Graphing Parabolas 

9.1 Extracting Square Roots
9.2 Completing the Square
9.3 Quadratic Formula
9.4 Guidelines for Solving Quadratic Equations and Applications
9.5 Graphing Parabolas
9.6 Introduction to Complex Numbers and Complex Solutions
9.7 Review Exercises and Sample Exam


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