University Math Expectations

Good morning and happy Friday!

I teach in Western Canada, so my students generally attend university here, but of course many also choose to move for school. I have been teaching 15 years now, so I anticipate that my understanding of first year university math may be out of date.

1. Are students expected to do first year math courses without a calculator? Does this vary by college?

2. Are students expected to memorize most formulas for exams in science and math courses?

3. Are students expected to memorize special triangles in first year courses?

Thanks in advance for any help!