Engineers need to know a great deal of math especially Electrical Engineers. Mechanical Engineers like myself typically take four or five semesters (Calc I-III, Differential Equations, and sometimes Partial Differential Equations). Also most take Statistics as well. All of our courses are math based. We actually take more math than most science majors with the exception of Physics majors which take about the same amount. My brother-in-law has a PhD in Biochemistry from Harvard, and his math terminated with Calculus II.
For medical school you don't need Calculus for some schools. Usually you have Precalculus and Statistics unless you are in a major that requires more math for graduation. You need two semesters of non-Calculus based Physics (which is hard - in some ways harder than the Calculus based stuff because you really don't understand where the equations are coming from). Four or five semesters of Chemistry (General, Organic, and usually a semester of Biochemistry). Three or four semesters of Biology (General, and something like Genetics or Physiology).
Organic Chemistry is insanely difficult in my opinion. My daughter is currently taking Organic Chem I and having problems.
The medical courses also require a great deal of science. Physiology, Chemistry, and of course Biology. Some Math and Physics as well. You simply cannot understand modern Biology without also understanding evolution.
"Nothing in Biology Makes Sense Except in the Light of Evolution" is a famous quote by Theodosius Dobzhansky.
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