I'm biased as I'm an EE, but I'd say that the Laplace transforms within the Electrical section are firmly in the realm mathematics, so keep them. It just so happens that they are only really useful in the domain of digital signal/control processing, and I think to get the true form or radioactive decay(?) though I may be mistaken. I'd put it next to information on Fourier transforms. The circuit theory may be a bit unnecessary though I agree.