The seminar is based on Richard Guy's book Unsolved Problems in Number Theory.
Each student chooses an unsolved problem (usually from Guy's book) and investigates it for the semester, culminating in a final paper and presentation.
Here is a paper describing the seminar: (pdf) published in Primus, http://www.tandfonline.com/doi/full/10.1080/10511970.2013.837566#.VAz_wk2YbIU
Volume 24, Issue 2, February 2014, pages 95-103.
Some class resources:
Some articles students published from the senior seminars:
William Berrigan, The Mathematical Modeling behind Duchenne's Muscular Dystrophy, published in Vol 2, Issue 2 (2012) Rose-Hulman Undergraduate Mathematics Journal
Daniel Lyons, Smallest N beginning a sequence of 14 and 15 consecutive happy numbers, published in Involve: a journal of mathematics Vol 6 (2013), no. 4, 461-466. (more info)
Stephanie Perez and Robert Styer, Persistence: A Digit Problem. Involve: a journal of mathematics Vol 8, Issue 3 (2015), pp. 439-446. (more info)
Brent Johnson, An Introduction to the Birch and Swinnerton-Dyer Conjecture,
published in Vol 16, # 1 (2015)
Rose-Hulman Undergraduate Mathematics Journal (not written during the
seminar but for an independent study following up on his seminar topic)
Colin Lubner and Robert Styer, Multiplicative Persistence of nonzero fixed point digits. Submitted to Involve: a journal of mathematics 2017. (more info)
Styer home page 02/21/2017