My transition was easy. The required prerequisite college courses for admission to med school (two semesters biology, two physical chemistry, two organic chemistry, two physics, one basic calculus) were more than sufficient to get me through my med school courses. I took a few extras too (anatomy/physiology, molecular biology, and genetics) but I feel those were overkill and might not have been necessary. At least they were fun.
I think the biggest part though was that I sought out some experiences in the medical field. This demonstrated to the admissions committees that my career goals weren't a lark and I knew what I was getting into. I did a 6-week summer mini-med-school camp, shadowed physicians in the ER a couple of times, and volunteered in a medical records department for a semester. When I didn't get into med school the first time, I spent the interim year getting my Certified Nursing Assistant license and working in an assisted living facility and a hospital's locked psychiatric ward. Fun times.
Good luck.
I took Physical Chemistry which I am told is looked at by medical admissions offices and something which standard applicants would have a hard time with but those with math/engineering backgrounds should do well in.