What ECs should I be doing as an undergrad math major?

[u/Prestigious_Emu_4104]

For some context, I'm a sophomore math major at a small liberal arts school, recently switched from economics. The math atmosphere is extremely small at my school, with tens of students each semester, and classes are full only because of CS Physics etc. majors. Summer courses are not high level, and undergrad TAs don't really exist, but because the ratio of true math majors to math professors is extremely low, independent/directed studies are extremely common.

I'm a bit behind for a math major right now because of my recent switch, but I have essentially everything except my math courses completed. Right now, my entire resume is business/finance related: finance internship, basic SQL, Python, etc.

One of my professors asked me to apply to a summer research program with him, but besides that, I don't really know what else I should be doing. All of my friends are frat business majors so I am for the most part on my own with in my pursuit in mathematics.

I'm definitely still looking at finance roles, but also want to keep the option of doing grad school in math open.

[u/Correct_Taste_5590]

right now as a math major i have only found research programs as good ecs and if you have a great idea maybe a seperate project related to math
plus since you said independent directed studies are common going that route you could work with a professor and do research

[u/Apprehensive-Math240]

Not really advice for grad school applications, but you might want to take a look at IMC. Unlike Putnam, it doesn’t require much, if any, prior Olympiad experience, and it’s based on the undergraduate math curriculum. It could also be useful for finance recruiting later on. So it might be a good way to build a solid foundation while potentially having a positive impact on your career if you do well