I am currently enrolled at the engineering school of a large university (as a freshman). I am set on majoring in Computer Science, and have been taking courses towards the requirements of that major. In fact, I am so interested in CS so far that I suspect I will want to pursue graduate education in the field. However, I have lots of other interests (mathematics, physics, mechanical engineering, robotics, and statistics), and have enough AP credit that I can either pursue a second major or multiple minors.
Besides mechanical engineering, pursuing a second major in any of my other listed interests would require that I satisfy the degree requirements for the school of arts and sciences (which I have determined to contain many courses that are probably interesting to some people, but are totally useless and uninteresting to me).
If the details of what were put on my degree did not matter, I would much prefer to simply take the courses in these various fields that would be most useful/interesting to me, and disregard any degree requirements other than those for my CS degree. However, I have heard that minors generally don't add much to one's resume, and that a dual major/degree is much more valuable.
So how do I decide what to pursue?