Geometric proof of the dot product

This is a geometric proof of the dot product that I submitted to Mathematics Magazine for the "Proof without words" section. They rightly rejected it because it's only valid for the first quadrant. Cynthia and I tried to rework it for the other quadrants but it lost its elegance so we gave up.

Euler's equation

Vector Projection Demo

Use your mouse to move around vector A

Trigonometry refersher.

This is a simple little reminder of cos and sin written in happyfuncoding.com Roll your mouse over it.

Math Series 10 -- Euler's equation

And today we reach the first major milestone in my series: Euler's equation.

Math Series 9

Math Series 8 -- Velocity of rotating things

Everyone has probably dealt with velocity before, but the velocity of rotating things is a bit trickier. But, it's very important to where we're headed...

Math series 7 -- complex numbers!

And now we come to one of our first major conclusions: you already understand complex numbers! (Again, if you find these helpful please leave me a note, I'd like to hear some feedback.)

Math series 6 -- radians

Finishing up with rotations before we move on to something (seemingly) completely unrelated.

Math series 5 -- Spinning wheels and waves

Math Series 4 -- rotation = multiply

And now we get to the end first of section. If you've followed along through these slides then congratulations! -- you've just learned about 12 years of math in 20 slides (Not really! -- but it does take traditional math classes 12 years to get to this point!)