Click on the picture to turn the page. Errata: a T was missing in formula for the least sqaure solution x = (AT A)-1AT. The solution for the damped harmonic oscillator f''+ bf + k2 f =0 is e-bt ( A cos(c t) + B sin(c t)), where -b + i c is a root of (D2 + b D + k2). Only if b=0, we have c=k. Restart Slides in PDF form Movie [m4v] for Ipod (80 Megs!)

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Math21b | Oliver Knill | Spring 2007 | Department of Mathematics | Faculty of Art and Sciences | Harvard University