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With that being said, the problem is that I will essentially be using all my remaining electives on these courses to complete a minor when I want to supplement my Physics module with more Math courses (and possibly other fields I'm interested). The Physics program has multivariable calculus, ODE & PDE, and linear algebra I, but lacks other important ones like complex variables, numerical analysis, linear algebra II, continuum mechanics, statistics.

Without trying to ramble on much longer, my main questions are:

How important are the latter courses named in providing a student with a solid mathematical background? Are there any others in particular that a student should take?

How important is the formal distinction of minor, especially when it's in a completely different field than your main program (i.e. Physics vs Microbiology)? My main reason for wanting the minor is simply because I'd like to do work in Mathematical Biology possibly in the future, and having some core courses would at least indicate I have some background to future research groups/supervisors. I am also interested in the content itself anyways and don't mind taking the courses, but could really otherwise care less about the minor title.

Any advice would great!