Hi Kate and welcome.
If you've never undertaken any trig or calc class, the Bsc/Eng degree would still be a struggle for you. This is all stuff you'd be expected to know. Whilst lots of universities offer remedial studies, Engineering is hard enough as it is without any extra work load.
My advice to you would be to take the classes before you start on the degree. Trig, Calculus, Engineering/Applied mathmatics will all stand you in good stead, especially if you're looking at the biomed sector.