PUTNAM COMPETITION
The William Lowell Putnam mathematical competition is a competition for undergraduate students in the US and Canada held each December (at each participating institution). It awards scholarships and cash prizes to the top scorers, and the list of the top 500 students is published every year. In 2016, there were 4164 contestants from 568 institutions.
TRAINING SESSIONS
During Fall 2018 we had training sessions for Baruch College students interested in participating.
During Fall 2019 we will open MTH 4005, a problemsolving seminar focused on PUTNAMstyle problems.
While you wait for more chances to participate in the PUTNAM, there are always problems left to solve.
PROBLEM SETS (fall 2017)
LINKS AND BOOKS

PUTNAM Problems and solutions since 1994
http://kskedlaya.org/putnamarchive/

Putnam and Beyond  Gelca Razvan, Titu Andrescu
Check the rest of Titu Andrescu's books, they are a very good resource for olympiadstyle problems.

Problemsolving strategies  Artur Engel

IMO Problems
http://artofproblemsolving.com/wiki/index.php?title=IMO_Problems_and_Solutions

Inequalities  A mathematical olympiad approach  Radmila Manfrino, José Antonio Gómez Ortega, Rogelio Valdez Delgado