Month: June 2012

Why is the slope of a vertical line undefined?

High School Algebra, High School Mathematics

The slope of a vertical line is its “rise over run.” Given any “slanting” line, we can take any two points and form an right triangle. The rise of the line is the length of the vertical side of the right triangle and its run is the length the horizontal side. Of course, we have learned that the slope of a line slanting on the left hand side is negative, and the slope of a line slanting to the right hand side is positive.

For a horizontal line, we only have the run and we have 0 rise. So, we divide 0 by the run which equals 0. » Read more

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Mathematical Proofs Galore

High School Mathematics

I have written quite a number of articles on mathematical proofs, so I want to summarize them in this post.  Most of these proofs are high school level, so students who are mathematically inclined are encouraged to read them.

Proof Basics 

Geometry

Trigonometry

Number Theory

Calculus

I will update this list every time I have written proof-related posts, so you may want to book mark this post.

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Embedding Wolfram Demonstrations

Resources and Freebies, Web 2.0 Technology

Last August 2011, I have shared about Wolfram’s computational document format, a technology that enables embedding of Wolfram Demonstrations on documents. These documents can be read using the Computational Document Format  (CDF) player which can be downloaded for free.

Recently, Wolfram has provided a javascript code for the Demonstrations. The Demonstrations can now be embedded on websites and blogs such as the one shown below. The CDF player must be installed in your computer before you can interact with the  Demonstration below.

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