<p>Well, discuss this with your academic advisor. You can start out as a double-major or a major-minor (which is more common) and then adjust as you go along. You may decide you don’t like ECE after or all, or the upper level math courses might be a turn off. If it requires an extra semester or two, that is up to you to decide if you can afford it.
I don’t think you should disregard the idea if it is what you really want.</p>