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<p>Yes, EECS (or ECE as it is called in some schools) is broad, but the student will likely have to make some choices in course work emphasizing some areas, since it is difficult to get course work in reasonable depth in all of the areas listed.</p>
<p>Also, some of the listed subareas are subsets or supersets of others. For example, 1 is a superset of 2-5, 13, and 14 (as well as the areas of energy and power systems engineering and device electronics and semiconductors that are not listed). Others have considerable overlap, such as 4/5, 2/8, 6/7/8/12.</p>
<p>But many other majors (in engineering or otherwise) have many subareas of specialization as well. (And the quantitative finance area is theoretically available to those in any math-heavy major.)</p>