This is an expository journal of collegiate mathematics published by the MAA. Challenging problems and solutions section in every issue. We have print and online issues. The most recent print issues are in the math lounge.
From the publisher: "The journal features interviews and articles on history, philosophy, problem solving, applications, computer-related mathematics, Student Research Projects, Classroom Capsules, Media Highlights, book reviews, and problems and solutions."
Lots of information useful to the mathematics major - from accessible articles to state of math education to doctoral program information. Also information on upcoming conferences and career news on this site.
Stated by the AMS: "The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives..."
The Mathematical Intelligencer publishes articles about math, mathematicians, humor, puzzles, and include expository articles of interest to students of math.