You can see your outstanding fines by logging into your library account [1]. You can access your account from the library's homepage by selecting "View Your Library Record" from the "Most Popular Resources" drop down.
After you have logged into your account, click on "Items currently checked out." Your outstanding fines will be listed under "Status." Fines can be paid by cash or check at the library's Circulation Desk. Note that borrowing privileges are suspended when fines exceed $10.