This video goes over the dot product also known as the scalar product. This video covers an application of the dot product specifically, the scalar projection, vector projection, and orthogonal projection.

This video goes over the dot product also known as the scalar product. This video goes over 3 examples illustrating how to find the scalar projection, vector projection, and orthogonal projection.

This video continues the exploration of a three dimensional Cartesian coordinate system. Basic equations of a two dimensional coordinate system are presented to illustrate the similarities to a three dimensional coordinate system. In...

I did make one big typo/mistake in the video: at 3:40 I claimed that f(x) is a polynomial with integer coefficients. I meant to write n!f(x) is a polynomial with integer coefficients. Commenter ffggddss also pointed out some other...

Greg Lynn talks about the mathematical roots of architecture -- and how calculus and digital tools allow modern designers to move beyond the traditional building forms. A glorious church in Queens (and a titanium tea set) illustrate his...

Space seems fundamental. To build a universe, surely you need something to build it on or in. Many, maybe most physicists now think that the fabric of space emerges from something deeper. And perhaps the most existentially disturbing...

This video goes over the scalar triple product also known as the triple scalar product and its use in finding the volume of a parallelepiped and determining if 3 vectors are coplanar.

It's been called "the Queen of Sciences"--mathematics. It might not be as obvious in Olympic sports as physics or materials-engineering, but math--from simple arithmetic to calculus--is part of every jump, every spin, every move the...

Deep learning is currently one of the best providers of solutions regarding problems in image recognition, speech recognition, object recognition, and natural language with its increasing number of libraries that are available in...

Often students struggle between whether to major in mechanical engineering or electrical engineering. These are two of the most common engineering disciplines so I wanted to address this question for those who are...

Dr. Jason Ohler is a professor emeritus, speaker, writer, teacher and cyber researcher. He is also a lifelong digital humanist who is well known for his passion, insight, and humor he brings to his presentations, projects, and...

Seven great recommendations for fun and exciting ways kids (and adults) can explore science, technology, engineering and math (STEM) at home.

For livisit