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- #1

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Would proof based classes like real analysis, abstract algebra etc be helpful to a biomath major...

Statistics. It's all about statistics. Learn real analysis, including measure theory, and you can learn probability theory and theory of statistics. And yes, proof based or you're wasting your time -- that's how you actually understand the stuff. Then you'll be head and shoulders above your peers in developing models that actually work. Most medical researchers (and virtually all clinicians) are clueless about statistics. People in the field who understand statistics are golden.

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Calc 1 to Calc 3

Differential equations

Differential equations for bio

Discrete and probabilistic models in bio

Mathematical theory of statistics

Mathematical theory of probability

Linear Algebra

Discrete Math

Electives...

Numerical Analysis

Probability 2 ( grad level course )

Graph theory

Combinatorics

Partial differential equations

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Mathematical theory of statistics

Mathematical theory of probability

Yup. But not proof based, right? Doing these classes will get you some of the how but without really understanding the why. You need measure theory to do them right, and for that you need real analysis. Of course you don't really need them if you don't mind being like everybody else...

When you are working with new models in science you can say "Well, this is pretty much like this other problem over there so we can do similar things and it will work." but there are always simplifications and approximations that render such reasoning iffy. Unless you understand what you are doing all the way back to first principles you can't know if it's valid. Gaining the mathematical skills necessary for that will be repaid over and over.

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Numerical analysis is fun if you like the challenge of programming (if that's how your particular section is taught.)

All of those have great applications to what you're wanting to do. Is the option of Mathematical Modeling available where you're at? I have taken it before and it has helped me tremendously with modeling. In it I learned about the process of building models that fit specific problems. It used numerical analysis, stats, probability, linear algebra and calculus depending on the problem. If they offer something like that I would recommend it.

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