Thermodynamics Oscillations and Waves 30: energy in simple harmonic motion, damped oscillations

This is a course on thermodynamics, oscillations, and waves, originally designed for first year Engineering students at UBC (Physics 157). An outline and links to all the videos in the series is here:

[ehsantwal]

I think there was a mistake at 20:50 " if you double Amplitude the Energy will be doubled" shouldn't it be if you double the amplitude the Energy is 4 times bigger than it originally was?