Do we need to know the math behind the FT (review 16B) or is what was covered in lecture enough?
Everything required for this class should be self contained in lecture/discussion. You may want to review external FT material if your final project relies on it, but otherwise I can't really think of anywhere you'd need it.
I've thought that the Fourier Transform is the special case of the Laplace Transform where the real part of S (Frequency) is zero. Is there any special reason why Fourier Transform is used instead of Laplace Transform? My first thought was that it's because the inverse of the Laplace Transform is not as conveniently defined as the inverse of the Fourier Transform. Any thoughts on this?