Hi, I’m not sure but I think the bottom limit of the integral should be 0 since shouldn’t it will shoot the whole integral to minus infinity? Or the t in m(t) should be that weird curving T right?
I feel there are more mistakes (typos) than what you mentioned. The last m(t) should not be m(t) but f(t), because it is not a phase but a frequency, or else the dimensions of this calculation would not make sense. Still I like this lecture, focused more on concepts, pictures than detailed math.
