The American Mathematical Society (AMS) keeps a listing of Research Experiences for Undergraduates (REUs). Their website also has information on conferences, such as the Joint Mathematics Meetings and Sectional Meetings, as well as funding opportunities.
The Mathematical Association of America (MAA) has information on conferences, such as Mathfest, Joint Mathematics Meetings and the Putnam Competition.
MathSciNet is a database of bibliographic entries for math research articles with synopses and reviews. MathSciNet should be accessible on the Simon's Rock campus network. If you are off campus, you can log in through the library website for access.
Society for Industrial and Applied Mathematics (SIAM) builds cooperation between mathematics and the worlds of science and technology through their publications, research, and community.