When applying to (most) phd programs, should a mathematics undergrad expect to know nearly every detail in a broad range of topics, or does the program mainly look for an ability to research (ie. already published something) and understand high level mathematics?
I'm only a third year yet I...
I am currently a double major in biology and math, interested in mathematical modeling of ecosystems and physiological systems.
The math portion involves modeling and pure math, but there isn't a lot of concentration on knowing physical laws. I'm not sure if I would miss all the knowledge...