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Superscripts and Subscripts *_subscript_* makes subscript *`superscript`* makes superscript *_sub_`sup`* makes sub sup. Download Manual Merck Medicina Veterinaria. Taking CT1 this September. Get good at the geometric progression, both the sum to n and the sum to infinity, as you'll be using both a lot.
Other than that some integration is used (useful integrals like ∫f'(x)e f(x) dx are given in the notes) but they aren't challenging. The only other thing that seems to come up a lot is linear interpolation, so get practice at that. There's also a chapter on basic stochastic methods that requires you to determine moments of probability distributions, but that's something that can be learned Other than that it's mostly general reasoning.
I wouldn't think FAC is necessary for CT1 unless you don't feel confident. I'd say that a good test is if the potential candidate can derive the formula for sums of geometric series without checking a book, they'll be fine.
I haven't done any other CT's yet (obviously) but I can imagine combinatorics, complex numbers, non-linear iterative methods etc. Will play a part, and a candidate without a degree may benefit from the FAC in those cases.