Update: There are a number of sites with Java issues recently. (Jan 2015) Please let Eppley computing know if you are experiencing these problems so that we aware of problem sites.
Thanks
If you are experiencing problems with Java content on websites, there are some workarounds available.
Note: You should never use any of these workarounds on a site unless you trust it’s content entirely. You are opening your computer up to considerable risk from the sites you allow using these methods.
You might receive a number of Java related security errors. How you deal with it depends on the error. If the error says the Java can’t be run because the sites certificate is expired or not active, that’s a fairly common error caused by the page not being updated. In this case, you generally have to make the change in the Java console. In Windows, this is in the control panel. On a Mac, it’s in system properties. in Windows 8, it says configure Java.
On all those computers, once you get to the Java Control Panel (or console), click on the Security tab from the top row of tabs.
Now look for where it says Exception Site List, and click on Edit Site List
then click Add. Type in the name of the site including the beginning part, so http://www.unmc.edu, not just www.unmc.edu. Then hit Add. Read the warning about the risk I already warned you about. If you are OK with it, hit Continue, then OK. If it was a success, the site should now appear in your site exception list. Click OK again to close the Java Control Panel.
You should be able to use the Java that goes with the expiration error. It will probably tell you Java needs your permission to run and you can tell it to run now.
There are a couple of other errors that depending on which browser you are using can be dealt with by letting the browser know you trust the site. In IE, if it says your security settings are preventing the Java from running. You can generally add the site to your trusted sites list in the browser. Click the lock washer 
(top right of browser) and then Internet Options. Look for and click the security tab, just like you did in the Java control panel. Then click on Trusted Sites
and then the Sites button.
This brings up a dialogue with the site you are on already filled in normally. If the site is not a secure HTTPS site, you will have to uncheck the box that says ‘Require server…’ This is an additional risk and it will probably try to warn you. Once the address of the website is typed in the box, either automatically or manually, click the Add button and then Close.
The site should now be in the list of trusted sites and allow the script to run.
In chrome, things are a little bit different. Generally, it lets you know there is a problem on the address bar at the right end. Often it looks like a puzzle
piece with an X. If you click on that X, it shows you the options you see below. You generally have to choose either Always allow or Run all plug-ins this time, sometimes both.
Hopefully, this will get your Java up and running,