I've learnt Fourier series in the past but have had a year of an awful lecturer teaching Signal Processing and find that I've no idea how to do even the simplest problems. If people could give me some pointers I'd be very grateful.

I'll begin with the easy ones.

Given apply the Fourier transform properties to determine the transforms of the following:

a)

For this I get the following answer, haven't expanded the Fourier series:

b)

I get:

c)

I get:

Though in that one I'm not sure how to represent the convolution of f and g.

So, if those answers are right then let me know, or if as I suspect they're not could someone walk me through one of them to tell me how I'm meant to do the transform? Thanks in advance.