Bioengineering, well it will include a lot of math: all engineering degrees from reputed colleges seem to have the same level of math covered like for example mechanical and electrical engineers would definitely have studied the same level of math at the very least. I was looking at bioengineerng curriculum one day and it seems to be a mix of mechanical engineering topics: thermodynamics, mechanical design, calclus 1-3, algebra 1,2, linear algebra, physics one and two..so yes. Bioengineering is not squarely about DNA or RNA, its a mix of engineering topics and biology topics. I guess I would say, there are math, design, and natural science fundamentals that are common for many engineering degrees..so expect a decent amount of math at reputed universities.
example: Some colleges have a common "core" group of modules, like the first year is common for everyone studying engineering and it incudes a fair amount of difficult/highly difficult math.