Biology classes such as Anatomy/Physiology, Histology, Microbiology, etc do require a lot of memorization.
Biology classes such as Molecular genetics, Biochemisty, Biophysical Chemistry, etc still require alot of memorization but with incorporation of problem solving and analytical/conceptional thinking
That was my experience anyway.
I assume engineering classes are more analytically intense than Biology courses. Again, this is an assumption, since I have never been an engineering major.