Many of the library's major research databases allow you to set up an email or RSS feed alert when a new issue of a journal is published. The alert not only allows you to know when a new issue of a journal has been released, but also the alert will give you at least the table of contents (and some times links to the full text) of the articles in that issue.
Click on any of the sub-tabs to get more detailed instructions on setting up a journal alert in the library's databases.