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Showing posts with label free. Show all posts
Showing posts with label free. Show all posts
Monday, January 14, 2013
Sunday, January 13, 2013
Open Algebra Study Guide Website
Do you have a student that missed a day? Well... send him a link to that days topic!
Our free algebra study guide makes for a rather useful website. It is coming together quite nicely using Blogger - have a look.
Feel free to share a link, copy-and-paste anything you find there. Also, notice that there are links to videos at the bottom of each page. Hope this helps somebody out there!
Our free algebra study guide makes for a rather useful website. It is coming together quite nicely using Blogger - have a look.
Thursday, September 13, 2012
Intermediate Algebra Textbook
Dear Colleagues,
I am excited to announce that Flat World Knowledge (FWK) has just published a new textbook, Intermediate Algebra.
In order to combat soaring textbook prices, I have written this textbook in a modular fashion to maximize its effectiveness as an open educational resource. It is available under a creative commons license, has been thoroughly peer-reviewed, and is customizable using the “Make It Your Own” MIYO system. This textbook is the second part of a two-part course in Algebra. It builds on the skills learned in Elementary Algebra and blends the traditional and graphical approaches to the subject.
- Chapter 1: Algebra Fundamentals
- Chapter 2: Graphing Functions and Inequalities
- Chapter 3: Solving Linear Systems
- Chapter 4: Polynomial and Rational Functions
- Chapter 5: Radical Functions and Equations
- Chapter 6: Solving Equations and Inequalities
- Chapter 7: Exponential and Logarithmic Functions
- Chapter 8: Conic Sections
- Chapter 9: Sequences, Series, and the Binomial Theorem
Used as a standalone textbook, Intermediate Algebra offers plenty of review as well as something new to engage the student in each chapter. With robust and diverse exercise sets, students have the opportunity to solve plenty of practice problems. In addition, students might appreciate the embedded video examples.
I am happy to be a part of the solution to the current rising costs associated with one of our essential developmental math courses. Compare this textbook to other open source algebra projects and you will find that FWK did a great job. The free to read online version makes use of MathJax and images to present the material where the Firefox web browser is recommended. In addition, the e-textbook and printed versions are available for purchase through the Flat World Knowledge website.
Please feel free to distribute this link to your students and colleagues. I truly believe that it will be a valuable resource. Also, feel free to email me with any suggestions or ideas.
Thank You,
John Redden, Professor of Mathematics
johnr@cos.edu
jtredden@gmail.com
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Tuesday, June 12, 2012
Open Textbook Repository
Try an open textbook next semester.
http://collegeopentextbooks.org/opentextbookcontent/open-textbooks-by-subject
http://collegeopentextbooks.org/opentextbookcontent/open-textbooks-by-subject
Friday, January 27, 2012
Elementary Algebra TOC - Free to Read Online (No Login!)
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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Thursday, October 27, 2011
Factoring in Elementary Algebra
Right now we are trying to learn how to factor in our Elementary Algebra course (Algebra 1). Many students find this topic to be very difficult... but it is important to get it right because factoring is an essential skill in mathematics. For example,
The general factoring guidelines found in the free Elementary Algebra textbook offered on the Flat World Knowledge website follow:
1. Check for common factors. If the terms have common factors, then factor out the greatest common factor (GCF) and look for the resulting polynomial factors to factor further.
2. Determine the number of terms in the polynomial:
3. Look for factors that can be factored further.
4. Check by multiplying.
* If a binomial is both difference of squares and cubes, then we should factor it as difference of squares first to obtain a more complete factorization.
* Not all polynomials with integer coefficients factor, in this case, we say that the polynomial is prime.
Solution: This four term polynomial has a GCF of 3x , we factor this out first.
We now factor the resulting four term polynomial by grouping.
The factor x^2 - 1 is a difference of squares and can be factored further.
And therefore we have,
You can check by multiplying. A similar problem can be found on YouTube:
You will find many more embedded videos in the Elementary Algebra textbook, here are links to the appropriate sections:
6.1 Introduction to Factoring
6.2 Factoring Trinomials x^2 + bx + c
6.3 Factoring Trinomials ax^2 + bx + c
6.4 Factoring Binomials
6.5 General Guidelines for Factoring Polynomials
Learning how to factor takes lots of time and practice.
1. Check for common factors. If the terms have common factors, then factor out the greatest common factor (GCF) and look for the resulting polynomial factors to factor further.
2. Determine the number of terms in the polynomial:
- Four term polynomials are factored by grouping.
- Trinomials (3 terms) are factored using “trial and error” or the AC method.
- Binomials (2 terms) are factored using the following special products.
3. Look for factors that can be factored further.
4. Check by multiplying.
* If a binomial is both difference of squares and cubes, then we should factor it as difference of squares first to obtain a more complete factorization.
* Not all polynomials with integer coefficients factor, in this case, we say that the polynomial is prime.
Solution: This four term polynomial has a GCF of 3x , we factor this out first.
You can check by multiplying. A similar problem can be found on YouTube:
You will find many more embedded videos in the Elementary Algebra textbook, here are links to the appropriate sections:
6.1 Introduction to Factoring
6.2 Factoring Trinomials x^2 + bx + c
6.3 Factoring Trinomials ax^2 + bx + c
6.4 Factoring Binomials
6.5 General Guidelines for Factoring Polynomials
Learning how to factor takes lots of time and practice.
Monday, January 17, 2011
MIT Open Courses
Here is a list of the open course content from MIT. The single and multivariable calculus courses look very well done. The courses are nicely formatted... video and lecture notes organized well.
Below is a list of the math content:
Below is a list of the math content:
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