Yes, we have MySQL (mysql.eng.utah.edu) available for student use.
To request a database, send an e-mail to opers@eng.utah.edu and let us know you need one. We will create it and likely place a file in your home directory with the database name and your login credentials.
If you place website files in your .public_html directory, you can make calls to the db, and thus access it from anywhere via eng.utah.edu/~username.
Posted in: General Tips, Unix, Websites and pages