My general question is, given that you have written some unpublished research papers as part of your academic coursework (on own topics, however) that you put extra amount of effort into and would like to show off to potential employers, how would you go about including these in applications?
To give some more specific context: As part of my mathematics course I had to write two papers on my own topic of interest. As I was more interested (and effectively better) in the subject than the other students I put a lot of extra hours to solve two original and quite difficult math problems. They are both in a professional format (written in LaTeX) and they showcase my ability to write a formal proof.
Now, as a first-year undergraduate, I am looking around for internships, and a lot of positions that I'm applying for list "a strong mathematical background" as a preferred or minimal requirement for their job. I feel like these papers would potentially be an excellent way for me to exhibit my "mathematical background", but unless they have been published, I don't see a conventional way of showcasing them or linking to them in my CV or cover letter.
Is there a way in which I could guide recruiters to these papers without it seeming over-the-top?