I might be able to help a little, the University posted for their Ethical Hacking Course I attend, I will complete the degree this year. It's advertised as the first course of its type in Europe I believe, same with their Game based degrees.
Anyway, that's important because there isn't a tried and tested method of getting students to where they should be. So if you're doing the course somewhere else it's important to actually look at what you study. At Abertay we get quite a lot of students from the likes of France so I don't know what else is out there but it is a popular course initially, although roughly 50% of students have dropped out by the third year.
The website will tell you the modules you will sit, you can usually find detailed descriptors of these modules through the site as well.
Again this is important because often there is little between the courses, I'm a networking student but have shared many modules with the Ethical Hacking lot, plus we have our own Ethical Hacking classes. We also have web development modules which generally bore me to tears, but I guess it might be worth it. So that's working with SQL and PHP/ColdFusion.
With a subject like Networking there are plenty of vendor qualification that institutes are willing to put their students through, for example I have a CCNA and multiple MCPs. While I don't think they're worth a great deal and the topics covered are really just an introduction, plus the Microsoft exams take about an hour to revise for. Most employers know this, but it doesn't hurt to have them. They have helped me get employment during the summer.
And as I say we do many of the same subjects, the only 'hacking' things we do are really very basic, but again there is scope for you to learn what you want. For example we have covered metasploit in class, (D)DoS, MITM, scanning, sweeping blah blah... With a fair amount on the laws and studying famous hackers. So it's really just and intro but they are modules that you're then able to use in the future, the degree doesn't lock you down. You're also expected to produce lectures and present these on a given subject, for example rainbow tables or SQL injection.
One of the main areas that the courses differ is the project. You form a team and essentially complete a real life (ish) project. The first semester is about learning the likes of how to plan a project, why projects fail and methodologies. Such as in the UK PRINCE2 is popular, well amongst larger projects anyway. The second semesters you are to build the project, again more presentations, produce documentation and all that jazz. While each computing degree does this, you have very different projects and again show how the course is taught, we for example had a choice of projects while the EHs created their own.
I seem to be going on an awful lot so I'll finish in short, check what the course actually contains, and look and see what modules are carried across. Many degrees at these modern universities are mashed together for no other reason than to make money. They aren't designed 100% for your course let alone the subject. Most of the modules you do are from other courses or are just very basic.
Really you aren't at any disadvantage if you go and just do Computer Science, however you may find it a little boring.
Vlek007 asked about Abertay so I'll give you a quick once over. Like most your first year will be basic, it's essentially to get rid of people. The second year you start to learn the basics beyond how a computer functions, but for example you will learn more in-depth about routing protocols, ethical hacking you really continue with more techniques and the law.
You're also expected to do most of the work yourself, the exams are pretty simple usually, and the course is laid back so plenty of time for you to actually go away and learn. Although they're more like this now so you can get a job and actually continue your studies.
As for the lectures, it's the usual if you read the website you will get the impression they invented the world, however many of them are pretty good. For example the head of Computing and Engineering is a Cambridge graduate who has worked for the likes of Lockheed Martin, and many of them have books published that you can buy on Amazon. Although the juicy stuff doesn't happen until your later years.
If you have any specific question just ask, oh if you do want to do ethical hacking you need to attend and interview and background checks.