The answer depends on both your career choices and your university's program.
Do you think you'll need to process sounds and music? Then some knowledge of calculus, power series and, even more important, Taylor series, is a MUST.
Will you work on a 3D engine? Maybe something VR - related or some virtual simulation machine? Then abstract algebra (groups, fields etc.) is required, at least for the first - person camera movement (see the quaternion group and quaternion rotation). So is linear algebra.
Or maybe you wish to work in a more engineer - oriented company, such as Siemens? Calculus is again a requirement for such a job, and again, so is linear algebra.
All of the above are jobs that demand a certain skill when it comes to mathematics.
If you're more inclined towards developing web/ desktop/ mobile applications, then maybe you won't need so much math (in case it's not an app such as WolframAlpha).
You're going for a more theoretical - oriented career? Then you'll need a very good understanding of algorithms (complexities, optimization and such) and you'll also be asked to come up efficient solutions and make them even more optimal after deploying them.
Is it that you wish for an embedded programming job? If that's so, you'll also want to know quite a bit of electrical engineering (DOS and such) and, as you can already tell, some maths are needed to understand that.
As you can tell, mathematics is not a subject to be ignored when it comes to computer science and programming, but it shouldn't define your career. See what you want to do in in the tech world. List a couple of choices which you like best. After that, see what maths are required for a good job in the sector you chose to work in. Maybe you won't like them. Maybe they're not that interesting to you. If that is the case, move to the second choice and repeat the process. If the maths are more to your liking, than go for that job/ field/ sector and knock yourself out!
The most important thing in the "Hello World!" (pun) is to get you coding and algorithm skills on point. Tackle some fields: webdev, embedded, etc. (at least read about them). Then learn the maths that you'll need in you field of choice.
Hope this kinda answered you question and that it was helpful!