Would a journal such as Bulletin of the AMS accept an article from a student? I am a masters student, and am currently writing an expository article on an area of applied maths for a class project. I plan to work on it for several more months. One of my major goals is to improve my expository writing skills, and I thought one way to achieve this might be to try and submit this article to a journal for peer review. The topic is also of significant interest in several fields. 
I have checked and Bulletin of the AMS and Notices of the AMS have both published work similar in flavor to what I have in mind. However, all of the articles I have read from these journals so far were authored by senior professors. I'm not sure if this because articles from established experts are preferred, or if it's because more junior people may have an incentive to focus on their original research rather than expository writing. Would it be pointless to submit as a student? If so, are there other venues that could be reasonable?
 A: Any good journal is supposed to evaluate papers according their quality, not the author's affiliation. The cases when papers of students were accepted in top journals are known. But Bull AMS is a bad example: it does not publish research papers; it publishes surveys.
A: There is another venue for this sort of work: The Graduate Journal of Mathematics. It publishes papers by graduate students or papers that would be of interest to graduate students. So, expository papers can be a good fit, especially if they contain something new and interesting (e.g. a list of open problems, a worked example, a new way to prove an old result, etc).
The normal thing for you to do, as an author, would be to check out the journal website and see if there is an editor on the editorial board who looks like they know a bit about the field. That editor would probably know potential referees. If you can't find an editor in applied math, you could send it to me (I am an editor), and I could probably find a referee (with a bit more effort).
You could also post your preprint on arxiv.
